1. Resistance of a wire is yΩ. The wire is stretched to triple its length, then the resistance becomes______
y/3
3y
6y
y/6
Show me the answer
Answer: 2. 3y
Explanation:
Resistance of a wire is given by:
R=ρAL
where:
ho = resistivity of the material,
L = length of the wire,
A = cross-sectional area of the wire.
When the wire is stretched to triple its length, the new length L′=3L.
Volume remains constant, so:
A′=3A
New resistance:
R′=ρA/33L=9ρAL=9R
Therefore, the resistance becomes 3y.
2. Consider a circuit with two unequal resistances in parallel, then ______
Large current flows in large resistor
Current is same in both
Smaller resistance has smaller conductance
Potential difference across each is same
Show me the answer
Answer: 4. Potential difference across each is same
Explanation:
In a parallel circuit, the voltage across each resistor is the same.
Current divides inversely with resistance:
I1=R1V,I2=R2V
Therefore, the potential difference across each resistor is the same.
3. In which of the following cases is Ohm’s law not applicable?
Electrolytes
Arc lamps
Insulators
Vacuum ratio values
Show me the answer
Answer: 3. Insulators
Explanation:
Ohm’s law is not applicable to insulators because they do not allow current to flow, and their resistance is extremely high.
It is also not applicable to non-linear devices like diodes, transistors, and arc lamps.
4. Which of the following bulbs will have high resistance?
220V, 60W
220V, 100W
115V, 60W
115V, 100W
Show me the answer
Answer: 1. 220V, 60W
Explanation:
Therefore, the bulb with the highest resistance is 220V, 60W.
5. Ohm’s law is not applicable to ______
DC circuits
High currents
Small resistors
Semi-conductors
Show me the answer
Answer: 4. Semi-conductors
Explanation:
Ohm’s law is not applicable to semi-conductors because they exhibit non-linear behavior.
Semi-conductors like diodes and transistors do not follow Ohm’s law, especially in their active regions.
6. Conductance is expressed in terms of ______
mho
mho/m
ohm/m
m/ohm
Show me the answer
Answer: 1. mho
Explanation:
The unit of conductance is mho (℧), which is the inverse of ohm (Ω).
Therefore, the correct answer is mho.
7. Delta connection is also known as ______
Y-connection
Mesh connection
Either Y-connection or mesh connection
Neither Y-connection nor mesh connection
Show me the answer
Answer: 2. Mesh connection
Explanation:
A delta connection is a three-phase circuit configuration where the components are connected in a triangular (Δ) shape.
It is also known as a mesh connection because the three components form a closed loop or mesh.
Therefore, the correct answer is Mesh connection.
8. Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between B and C?
Rc + Rb + Rc * Rb / Ra
Rc + Rb + Ra * Rb / Rc
Ra + Rb + Ra * Rc / Rb
Rc + Rb + Rc * Ra / Rb
Show me the answer
Answer: 1. Rc + Rb + Rc * Rb / Ra
Explanation:
The correct answer is Rc + Rb + Rc * Rb / Ra.
9. Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between A and C?
Ra + Rb + Ra * Rb / Rc
Ra + Rc + Ra * Rc / Rb
Ra + Rb + Ra * Rc / Ra
Ra + Rc + Ra * Rb / Rc
Show me the answer
Answer: 2. Ra + Rc + Ra * Rc / Rb
Explanation:
The correct answer is Ra + Rc + Ra * Rc / Rb.
10. Find the equivalent delta circuit.
9.69 ohm, 35.71 ohm, 6.59 ohm
10.69 ohm, 35.71 ohm, 6.59 ohm
9.69 ohm, 34.71 ohm, 6.59 ohm
10.69 ohm, 35.71 ohm, 7.59 ohm
Show me the answer
Answer: 1. 9.69 ohm, 35.71 ohm, 6.59 ohm
Explanation:
Substituting the given values, the equivalent delta resistances are 9.69 ohm, 35.71 ohm, 6.59 ohm.
11. Find the equivalent resistance between X and Y.
3.33 ohm
4.34 ohm
5.65 ohm
2.38 ohm
Show me the answer
Answer: 4. 2.38 ohm
Explanation:
The equivalent resistance between X and Y is calculated by combining the resistances in series and parallel.
After calculations, the equivalent resistance is 2.38 ohm.
12. Ra is resistance at A, Rb is resistance at B, Rc is resistance at C in star connection. After transforming to delta, what is resistance between A and B?
Rc + Rb + Ra * Rb / Rc
Ra + Rb + Ra * Rc / Rb
Ra + Rb + Ra * Rb / Rc
Ra + Rc + Ra * Rc / Rb
Show me the answer
Answer: 3. Ra + Rb + Ra * Rb / Rc
Explanation:
The correct answer is Ra + Rb + Ra * Rb / Rc.
13. KCL is based on the fact that ______
There is a possibility for a node to store energy.
There cannot be an accumulation of charge at a node.
Charge accumulation is possible at node
Charge accumulation may or may not be possible.
Show me the answer
Answer: 2. There cannot be an accumulation of charge at a node.
Explanation:
Kirchhoff’s Current Law (KCL) states that the algebraic sum of currents entering and leaving a node is zero.
This is based on the principle of conservation of charge, which means charge cannot accumulate at a node.
Therefore, the correct answer is There cannot be an accumulation of charge at a node.
14. The algebraic sum of voltages around any closed path in a network is equal to ______.
Infinity
1
0
Negative polarity
Show me the answer
Answer: 3. 0
Explanation:
Kirchhoff’s Voltage Law (KVL) states that the algebraic sum of voltages around any closed loop in a circuit is zero.
This is based on the principle of conservation of energy.
Therefore, the correct answer is 0.
15. Relation between currents according to KCL is ______
i₁ = i₂ = i₃ = i₄ = i₅
i₁ + i₄ + i₃ = i₅ + i₂
i₁ - i₅ = i₂ - i₃ - i₄
i₁ + i₅ = i₂ + i₃ + i₄
Show me the answer
Answer: 4. i₁ + i₅ = i₂ + i₃ + i₄
Explanation:
According to Kirchhoff’s Current Law (KCL), the sum of currents entering a node equals the sum of currents leaving the node.
Therefore, the correct relation is i₁ + i₅ = i₂ + i₃ + i₄.
16. Solve and find the value of I.
-0.5A
0.5A
-0.2A
0.2A
Show me the answer
Answer: 1. -0.5A
Explanation:
The negative sign indicates the direction of current is opposite to the assumed direction.
Therefore, the value of I is -0.5A.
17. All ______ are loops but ______ are not meshes.
Loops, Meshes
Meshes, loops
Branches, loops
Nodes, Branches
Show me the answer
Answer: 2. Meshes, loops
Explanation:
A loop is any closed path in a circuit.
A mesh is a loop that does not contain any other loops within it.
Therefore, all meshes are loops, but not all loops are meshes.
The correct answer is Meshes, loops.
18. A junction where two (or) more than two network elements meet is known as a ______.
Node
Branch
Loop
Mesh
Show me the answer
Answer: 1. Node
Explanation:
A node is a point in a circuit where two or more circuit elements are connected.
Therefore, the correct answer is Node.
19. Thevenin's theorem converts a circuit to an equivalent form consisting of ______.
A current source and a series resistance
A voltage source and a parallel resistance
A voltage source and a series resistance
A current source and a parallel resistance
Show me the answer
Answer: 3. A voltage source and a series resistance
Explanation:
Therefore, the correct answer is A voltage source and a series resistance.
20. The application of Thevenin's theorem in a circuit results in ______.
An ideal voltage source
An ideal current source
A current source and an impedance in parallel
A voltage source and an impedance in series
Show me the answer
Answer: 4. A voltage source and an impedance in series
Explanation:
Therefore, the correct answer is A voltage source and an impedance in series.
21. While calculating Rth in Thevenin's theorem and Norton equivalent ______.
All independent sources are made dead
Only current sources are made dead
Only voltage sources are made dead
All voltage and current sources are made dead
Show me the answer
Answer: 1. All independent sources are made dead
Explanation:
Therefore, the correct answer is All independent sources are made dead.
22. Thevenin's theorem cannot be applied to ______.
Linear circuit
Non-linear circuit
Active circuit
Passive circuit
Show me the answer
Answer: 2. Non-linear circuit
Explanation:
Thevenin’s theorem is applicable only to linear circuits.
It cannot be applied to non-linear circuits because the superposition principle does not hold for non-linear elements.
Therefore, the correct answer is Non-linear circuit.
23. While thevenizing a circuit between two terminals, Vth is equal to ______.
Short circuit terminal voltage
Open circuit terminal voltage
Net voltage available in the circuit
e.m.f. of the battery nearest to the terminals
Show me the answer
Answer: 2. Open circuit terminal voltage
Explanation:
Therefore, the correct answer is Open circuit terminal voltage.
24. Calculate the Thevenin resistance across the terminal AB for the following circuit.
4.34 ohm
3.67 ohm
3.43 ohm
2.32 ohm
Show me the answer
Answer: 2. 3.67 ohm
Explanation:
Therefore, the correct answer is 3.67 ohm.
25. Calculate the current across the 4 ohm resistor.
0.86A
1.23A
2.22A
0.67A
Show me the answer
Answer: 1. 0.86A
Explanation:
Using Thevenin’s theorem, the equivalent circuit is simplified to a voltage source and a series resistance.
Substituting the values, the current is 0.86A.
26. The Thevenin voltage is the ______.
Open circuit voltage
Short circuit voltage
Open circuit and short circuit voltage
Neither open circuit nor short circuit voltage
Show me the answer
Answer: 1. Open circuit voltage
Explanation:
Therefore, the correct answer is Open circuit voltage.
27. Thevenin resistance is found by ______.
Shorting all voltage sources
Opening all current sources
Shorting all voltage sources and opening all current sources
Opening all voltage sources and shorting all current sources
Show me the answer
Answer: 3. Shorting all voltage sources and opening all current sources
Explanation:
Therefore, the correct answer is Shorting all voltage sources and opening all current sources.
28. Thevenin’s theorem is true for ______.
Linear networks
Non-Linear networks
Both linear networks and nonlinear networks
Neither linear networks nor non-linear networks
Show me the answer
Answer: 1. Linear networks
Explanation:
Thevenin’s theorem is applicable only to linear circuits.
It cannot be applied to non-linear circuits because the superposition principle does not hold for non-linear elements.
Therefore, the correct answer is Linear networks.
29. In Thevenin’s theorem Vth is ______.
Sum of two voltage sources
A single voltage source
Infinite voltage sources
0
Show me the answer
Answer: 2. A single voltage source
Explanation:
Therefore, the correct answer is A single voltage source.
30. Which of the following is also known as the dual of Thevenin’s theorem?
Norton’s theorem
Superposition theorem
Maximum power transfer theorem
Millman’s theorem
Show me the answer
Answer: 1. Norton’s theorem
Explanation:
Norton’s theorem is the dual of Thevenin’s theorem.
While Thevenin’s theorem uses a voltage source and series resistance, Norton’s theorem uses a current source and parallel resistance.
Therefore, the correct answer is Norton’s theorem.
31. The Norton current is the ______.
Short circuit current
Open circuit current
Open circuit and short circuit current
Neither open circuit nor short circuit current
Show me the answer
Answer: 1. Short circuit current
Explanation:
Therefore, the correct answer is Short circuit current.
32. Norton resistance is found by?
Shorting all voltage sources
Opening all current sources
Shorting all voltage sources and opening all current sources
Opening all voltage sources and shorting all current sources
Show me the answer
Answer: 3. Shorting all voltage sources and opening all current sources
Explanation:
Therefore, the correct answer is Shorting all voltage sources and opening all current sources.
33. Norton’s theorem is true for ______.
Linear networks
Non-Linear networks
Both linear networks and nonlinear networks
Neither linear networks nor non-linear networks
Show me the answer
Answer: 1. Linear networks
Explanation:
Norton’s theorem is applicable only to linear circuits.
It cannot be applied to non-linear circuits because the superposition principle does not hold for non-linear elements.
Therefore, the correct answer is Linear networks.
34. In Norton’s theorem ISC is ______.
Sum of two current sources
A single current source
Infinite current sources
0
Show me the answer
Answer: 2. A single current source
Explanation:
Therefore, the correct answer is A single current source.
35. Calculate the Norton resistance for the following circuit if 5 ohm is the load resistance.
10 ohm
11 ohm
12 ohm
13 ohm
Show me the answer
Answer: 3. 12 ohm
Explanation:
Therefore, the correct answer is 12 ohm.
36. Find the current in the 5 ohm resistance using Norton’s theorem.
1A
1.5A
0.25A
0.5A
Show me the answer
Answer: 4. 0.5A
Explanation:
Using Norton’s theorem, the equivalent circuit is simplified to a current source and a parallel resistance.
Substituting the values, the current is 0.5A.
37. Which of the following is also known as the dual of Norton’s theorem?
Thevenin’s theorem
Superposition theorem
Maximum power transfer theorem
Millman’s theorem
Show me the answer
Answer: 1. Thevenin’s theorem
Explanation:
Thevenin’s theorem is the dual of Norton’s theorem.
While Norton’s theorem uses a current source and parallel resistance, Thevenin’s theorem uses a voltage source and series resistance.
Therefore, the correct answer is Thevenin’s theorem.
38. The maximum power drawn from source depends on ______.
Value of source resistance
Value of load resistance
Both source and load resistance
Neither source or load resistance
Show me the answer
Answer: 2. Value of load resistance
Explanation:
According to the Maximum Power Transfer Theorem, maximum power is transferred from the source to the load when the load resistance is equal to the source resistance.
Therefore, the correct answer is Value of load resistance.
39. The maximum power is delivered to a circuit when source resistance is ______ load resistance.
Greater than
Equal to
Less than
Greater than or equal to
Show me the answer
Answer: 2. Equal to
Explanation:
The Maximum Power Transfer Theorem states that maximum power is delivered to the load when the load resistance is equal to the source resistance.
Therefore, the correct answer is Equal to.
40. The maximum power is delivered to a circuit when source resistance is ______ load resistance.
Greater than
Equal to
Less than
Greater than or equal to
Show me the answer
Answer: 2. Equal to
Explanation:
The Maximum Power Transfer Theorem states that maximum power is delivered to the load when the load resistance is equal to the source resistance.
Therefore, the correct answer is Equal to.
41. Calculate Eth.
3.43V
4.57V
3.23V
5.34V
Show me the answer
Answer: 2. 4.57V
Explanation:
Eth (Thevenin voltage) is calculated by finding the open-circuit voltage across the terminals.
Therefore, the correct answer is 4.57V.
42. Calculate the maximum power transferred.
1.79W
4.55W
5.67W
3.78W
Show me the answer
Answer: 1. 1.79W
Explanation:
Substituting the values, the maximum power transferred is 1.79W.
43. Under the condition of maximum power efficiency is?
100%
0%
30%
50%
Show me the answer
Answer: 4. 50%
Explanation:
Under the condition of maximum power transfer, the efficiency of the circuit is 50%.
This is because half of the power is dissipated in the source resistance, and the other half is delivered to the load.
Therefore, the correct answer is 50%.
44. When a sinusoidal voltage is applied across R-L series circuit having R=XL, the phase angle will be ______.
90°
45° lag
45° lead
90° leading
Show me the answer
Answer: 2. 45° lag
Explanation:
Since it is an inductive circuit, the current lags the voltage by 45°.
Therefore, the correct answer is 45° lag.
45. A unit step voltage is applied at t = 0 to a series R-L circuit with zero initial conditions ______.
It is possible for the current to be oscillatory
The voltage across the resistor at t = 0° is zero
The energy stored in the inductor in the steady-state is zero
The resistor current eventually falls to zero
Show me the answer
Answer: 2. The voltage across the resistor at t = 0° is zero
Explanation:
Therefore, the correct answer is The voltage across the resistor at t = 0° is zero.
46. At ______ frequencies the parallel R-L circuit behaves as purely resistive.
Low
Very low
High
Very high
Show me the answer
Answer: 4. Very high
Explanation:
The circuit then behaves as purely resistive.
Therefore, the correct answer is Very high.
47. The voltage applied across an R-L circuit is equal to ______ of VR and VL.
Phasor sum
Arithmetic sum
Sum of the squares
Algebraic sum
Show me the answer
Answer: 1. Phasor sum
Explanation:
Therefore, the correct answer is Phasor sum.
48. In a parallel R-C circuit, the current always ______ the applied voltage.
Lags
Leads
Remains in phase with
None of the above
Show me the answer
Answer: 2. Leads
Explanation:
In a parallel R-C circuit, the current through the capacitor leads the voltage by 90°, while the current through the resistor is in phase with the voltage.
The total current leads the applied voltage.
Therefore, the correct answer is Leads.
49. At very low frequencies a series R-C circuit behaves as almost purely ______ circuit.
Resistive
Inductive
Capacitive
None of the above
Show me the answer
Answer: 3. Capacitive
Explanation:
The circuit then behaves as almost purely capacitive.
Therefore, the correct answer is Capacitive.
50. In a series R-L-C circuit, the current at resonance is ______.
Minimum
Maximum
Zero
Infinite
Show me the answer
Answer: 2. Maximum
Explanation:
Therefore, the current is maximum at resonance.
The correct answer is Maximum.
Ohm’s law states:
V=IR
where:
V = voltage,
I = current,
R = resistance.
Resistance of a bulb is given by:
R=PV2
where:
V = voltage,
P = power.
For option 1:
R=602202=806.67Ω
For option 2:
R=1002202=484Ω
For option 3:
R=601152=220.42Ω
For option 4:
R=1001152=132.25Ω
Ohm’s law states:
V=IR
where:
V = voltage,
I = current,
R = resistance.
Conductance is the reciprocal of resistance and is given by:
G=R1
The formula for transforming a star connection to a delta connection is:
RBC=Rc+Rb+RaRc⋅Rb
Therefore, the resistance between B and C is:
RBC=Rc+Rb+RaRc⋅Rb
The formula for transforming a star connection to a delta connection is:
RAC=Ra+Rc+RbRa⋅Rc
Therefore, the resistance between A and C is:
RAC=Ra+Rc+RbRa⋅Rc
The equivalent delta resistances are calculated using the star-to-delta transformation formulas:
RAB=Ra+Rb+RcRa⋅RbRBC=Rb+Rc+RaRb⋅RcRCA=Rc+Ra+RbRc⋅Ra
Using the formula for parallel resistances:
Req1=R11+R21+R31
The formula for transforming a star connection to a delta connection is:
RAB=Ra+Rb+RcRa⋅Rb
Therefore, the resistance between A and B is:
RAB=Ra+Rb+RcRa⋅Rb
Using Kirchhoff’s Voltage Law (KVL), we can write the equation for the loop:
10−20I−30I=010−50I=0I=5010=0.2A
Thevenin’s theorem states that any linear circuit can be replaced by an equivalent circuit consisting of a voltage source (VTh) in series with a resistance (RTh).
Thevenin’s theorem replaces a complex circuit with a voltage source (VTh) and an impedance (RTh) in series.
To calculate Thevenin resistance (RTh), all independent voltage sources are replaced by short circuits, and all independent current sources are replaced by open circuits.
Thevenin voltage (VTh) is the voltage across the terminals when the circuit is open (no load connected).
To calculate Thevenin resistance (RTh), all independent sources are deactivated (voltage sources are shorted, and current sources are opened).
The equivalent resistance across terminals AB is calculated as:
RTh=1Ω+(3Ω+4Ω3Ω×4Ω)=1+712=3.67Ω
The current across the 4 ohm resistor is calculated using Ohm’s law:
I=RTh+RLVTh
where:
VTh = Thevenin voltage,
RTh = Thevenin resistance,
RL = load resistance (4 ohm).
Thevenin voltage (VTh) is the voltage across the terminals when the circuit is open (no load connected).
To calculate Thevenin resistance (RTh), all independent voltage sources are replaced by short circuits, and all independent current sources are replaced by open circuits.
Thevenin voltage (VTh) is a single voltage source that represents the open-circuit voltage across the terminals of the circuit.
Norton current (IN) is the current that flows through the terminals when they are short-circuited.
To calculate Norton resistance (RN), all independent voltage sources are replaced by short circuits, and all independent current sources are replaced by open circuits.
Norton current (IN) is a single current source that represents the short-circuit current across the terminals of the circuit.
To calculate Norton resistance (RN), all independent sources are deactivated (voltage sources are shorted, and current sources are opened).
The equivalent resistance across the terminals is calculated as:
RN=10Ω+(6Ω+10Ω6Ω×10Ω)=10+1660=12Ω
The current across the 5 ohm resistor is calculated using the current divider rule:
I=IN⋅RN+RLRN
where:
IN = Norton current,
RN = Norton resistance,
RL = load resistance (5 ohm).
Using voltage division:
Eth=10V⋅5Ω+3Ω5Ω=10⋅85=6.25V
The maximum power transferred is given by:
Pmax=4RThVTh2
where:
VTh = Thevenin voltage,
RTh = Thevenin resistance.
In an R-L series circuit, the phase angle is given by:
θ=tan−1(RXL)
If R=XL, then:
θ=tan−1(1)=45°
In a series R-L circuit, when a unit step voltage is applied at t=0, the inductor initially acts as an open circuit, and the voltage across the resistor is zero.
At very high frequencies, the inductive reactance XL=2πfL becomes very large, and the inductor behaves as an open circuit.
In an R-L circuit, the voltage across the resistor (VR) and the inductor (VL) are out of phase by 90°.
The total applied voltage is the phasor sum of VR and VL.
At very low frequencies, the capacitive reactance XC=2πfC1 becomes very large, and the capacitor behaves as an open circuit.
At resonance, the impedance of the series R-L-C circuit is minimum (equal to the resistance R).