# Growth and Decay of Current MCQ [Free PDF] – Objective Question Answer for Growth and Decay of Current Quiz

1. The charging time constant of a circuit consisting of a capacitor is the time taken for the charge in the capacitor to become __________ % of the initial charge.

A. 33
B. 63
C. 37
D. 36

We know that

Q = Q0(1-e-t/RC).

When RC = t, we have

Q = Q0(1-e-1) = 0.63 × Q0.

Hence the time constant is the time taken for the charge in a capacitive circuit to become 0.63 times its initial charge.

2. The discharging time constant of a circuit consisting of a capacitor is the time taken for the charge in the capacitor to become __________ % of the initial charge.

A. 33
B. 63
C. 37
D. 36

We know that: Q = Q0(1-e-t/RC).

When RC = t, we have

Q = Q0(1-e-1) = 0.37 × Q0.

Hence the time constant is the time taken for the charge in a capacitive circuit to become 0.37 times its initial charge.

3. A circuit has a resistance of 2 ohms connected in series with a capacitance of 6F. Calculate the charging time constant.

A. 3
B. 1
C. 12
D. 8

The charging time constant in a circuit consisting of a capacitor and resistor in series is the product of the resistance and capacitance

= 2 × 6 = 12.

4. A circuit has a resistance of 5 ohms connected in series with a capacitance of 10F. Calculate the discharging time constant.

A. 15
B. 50
C. 5
D. 10

The discharging time constant in a circuit consisting of a capacitor and resistor in series is the product of the resistance and capacitance

= 5 × 10 = 50.

5. What is the value of current in a discharging capacitive circuit if the initial current is 2A at time t = RC.

A. 0.74A
B. 1.26A
C. 3.67A
D. 2.89A

At time t = RC, that is the time constant, we know that the value of current at that time interval is equal to 63% of the initial charge in the discharging circuit.

Hence, I = 2 × 0.63 = 1.26A.

6. What is the value of current in a charging capacitive circuit if the initial current is 2A at time t = RC.

A. 0.74A
B. 1.26A
C. 3.67A
D. 2.89A

At time t = RC, that is the time constant, we know that the value of current at that time interval is equal to 37% of the initial charge in the discharging circuit.

Hence, I = 2 × 0.37 = 0.74A.

7. While discharging, what happens to the current in the capacitive circuit?

A. Decreases linearly
B. Increases linearly
C. Decreases exponentially
D. Increases exponentially

The equation for the value of current in a discharging capacitive circuit is:

I = I0(1-e-t/RC).

From this equation, we can see that the current is exponentially increasing.

8. While discharging, what happens to the voltage in the capacitive circuit?

A. Decreases linearly
B. Increases linearly
C. Decreases exponentially
D. Increases exponentially

The equation for the value of voltage in a discharging capacitive circuit is:

V = V0(e-t/RC).

From this equation, we can see that the voltage is exponentially decreasing.

9. While charging, what happens to the current in the capacitive circuit?

A. Decreases linearly
B. Increases linearly
C. Decreases exponentially
D. Increases exponentially

The equation for the value of current in a charging capacitive circuit is:

I = I0(e-t/RC).

From this equation, we can see that the current is exponentially decreasing.

10. While charging, what happens to the voltage in the capacitive circuit?

A. Decreases linearly
B. Increases linearly
C. Decreases exponentially
D. Increases exponentially