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Test: Kirchhoff’s Current & Voltage Law - Electrical Engineering (EE) MCQ


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20 Questions MCQ Test - Test: Kirchhoff’s Current & Voltage Law

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Test: Kirchhoff’s Current & Voltage Law - Question 1

Find the value of v if v1 = 20V and value of current source is 6A

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 1

The current through the 10 ohm resistor = v1 / 10 = 2A

Applying KCL at node 1: i5 = i10 + i2

i= 6 - 2 = 4A

Thus the drop in the 2 ohm resistor = 4×2 = 8V

v1 = 20V; hence v2 = 20-v across 2 ohm resistor = 20 - 8 = 12V
v2 = v since they are connected in parallel.
v = 12V

Test: Kirchhoff’s Current & Voltage Law - Question 2

Calculate the current A.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 2

KCL states that the total current leaving the junction is equal to the current entering it. In this case, the current entering the junction is 5 A + 10 A = 15A

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Test: Kirchhoff’s Current & Voltage Law - Question 3

 Calculate the current across the 20 ohm resistor.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 3

Assume lower terminal of 20 ohm at 0V and upper terminal at V volt and applying KCL, we get V/10 + V/20 = 1

V = (20 / 3) V

So, current through 20 ohm = V/20 = (20/3) / 20 = 1/3 = 0.33V

Test: Kirchhoff’s Current & Voltage Law - Question 4

Calculate the value of I3, if I= 2A and I= 3A

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 4

 According to KCL, I+ I+ I= 0

Hence I= - (I+ I2) = - 5A

Test: Kirchhoff’s Current & Voltage Law - Question 5

Find the value of i2, i4 and i5 if i= 3A, i= 1A and i= 1A

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 5
  •  At junction a: i- i3 - i2 = 0
    i= 2A
  • At junction b: i+ i- i= 0
    i= -1A
  • At junction c: i- i+ i= 0
    i= 2A
Test: Kirchhoff’s Current & Voltage Law - Question 6

What is the value of current if a 50C charge flows in a conductor over a period of 5 seconds?

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 6

Current = Charge/Time

Here charge = 50C and time = 5 seconds

so current = 50/5 = 10A

Test: Kirchhoff’s Current & Voltage Law - Question 7

KCL is applied at _________

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 7

KCL states that the amount of charge leaving a node is equal to the amount of charge entering it, hence it is applied at nodes.

Test: Kirchhoff’s Current & Voltage Law - Question 8

KCL can be applied for __________

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 8

KCL is applied for different nodes of a network whether it is planar or non-planar.

Test: Kirchhoff’s Current & Voltage Law - Question 9

 What is the value of the current I?

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 9

 At the junction, I - 2 + 3 - 4 - 5 = 0

Hence I = 8A

Test: Kirchhoff’s Current & Voltage Law - Question 10

Calculate the value of V1 and V2.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 10

Using KVL, 12 - V1 - 8 = 0.

V1 = 4V

8 - V2 - 2 = 0

V2 = 6V

Test: Kirchhoff’s Current & Voltage Law - Question 11

 KCL deals with the conservation of?

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 11

KCL states that the amount of charge entering a junction is equal to the amount of charge leaving it, hence it is the conservation of charge.

Test: Kirchhoff’s Current & Voltage Law - Question 12

Calculate the voltage across the 10 ohm resistor.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 12

Using voltage divider rule, V = 10*12/30 = 4V

Test: Kirchhoff’s Current & Voltage Law - Question 13

Find the value of the currents I1 and I2.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 13

To explain: Using KVL in loop 1, 10-100i1 = 0. i1 = 0.1A
Using KVL in outer loop, -100i2 + 20 = 0  i2 = 0.2A.
Correct Answer is d)  0.1, 0.2

Test: Kirchhoff’s Current & Voltage Law - Question 14

The sum of the voltages over any closed loop is equal to __________

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 14

According to KVL, the sum of the voltage over any closed loop is equal to 0.

Test: Kirchhoff’s Current & Voltage Law - Question 15

What is the basic law that has to be followed in order to analyze any circuit?

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 15

Kirchhoff’s laws, namely Kirchhoff’s Current Law and Kirchhoff’s Voltage law are the basic laws in order to analyze a circuit.

Test: Kirchhoff’s Current & Voltage Law - Question 16

 Every____________ is a ____________ but every __________ is not a __________

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 16

According to Kirchhoff’s Voltage Law, Every mesh is a loop but every loop is not a mesh.

Test: Kirchhoff’s Current & Voltage Law - Question 17

Solve for I.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 17

Veq = 10 + 5 -20 = -5u
Req = 5 + 2 + 3 = 10Ω
I = V/R = -5/10 = -0.5A.

Test: Kirchhoff’s Current & Voltage Law - Question 18

Calculate VAB.

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 18

For branch A: VAC= 15 * 20 / (25+15) = 7.5V
For branch B: VBC= 10 * 20 / (10+40) = 4V
Applying KVL to loop ABC
VAB+VBC+VCA = 0
VAB = 3.5V

Test: Kirchhoff’s Current & Voltage Law - Question 19

 KVL is applied in ____________

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 19

Mesh analysis helps us to utilize the different voltages in the circuit as well as the IR products in the circuit which is nothing but KVL.

Test: Kirchhoff’s Current & Voltage Law - Question 20

Which of the following facts is correct for KCL? 

Detailed Solution for Test: Kirchhoff’s Current & Voltage Law - Question 20

Kirchhoff's Current Law

According to Kirchhoff's Current Law, The total current entering a junction or a node is equal to the charge leaving the node. The algebraic sum of every current entering and leaving the node has to be zero.
KCL is based on the conservation of charge.

Hence, statement 4 is correct.
Kirchhoff's Voltage Law
According to Kirchhoff's Voltage Law, the sum of the total voltage drop in a closed loop is equal to zero.
V = V1 + V2. . . . . Vn
V = I(R1+ R2. .. Rn)

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