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Capacitors and Stored Energy Concepts

Total questions: 18

Worksheet time: 15mins

Name
Class
Date
1.

What is the formula for the energy stored in a capacitor?

a)

E = 1/2 * C * I^2

b)

E = C * V^2 / 2

c)

E = C * V

d)

E = 1/2 * C * V^2

2.

What happens to the energy stored in a capacitor when the voltage is doubled?

a)

The energy stored in the capacitor quadruples.

b)

The energy stored in the capacitor doubles.

c)

The energy stored in the capacitor remains the same.

d)

The energy stored in the capacitor decreases by half.

3.

If two capacitors are in series, how is the total capacitance calculated?

a)

C_total = C1 + C2

b)

C_total = 1 / (1/C1 + 1/C2)

c)

C_total = C1 - C2

d)

C_total = C1 * C2

4.

What is the equivalent capacitance of three capacitors in series with values 2μF, 3μF, and 6μF?

a)

4μF

b)

7μF

c)

5μF

d)

1μF

5.

How does the total capacitance change when capacitors are added in series?

a)

The total capacitance increases when capacitors are added in series.

b)

The total capacitance is equal to the sum of the individual capacitances when in series.

c)

The total capacitance remains the same when capacitors are added in series.

d)

The total capacitance decreases when capacitors are added in series.

6.

What is the formula for the equivalent capacitance of capacitors in parallel?

a)

C_eq = C_1 + C_2 + C_3 + ... + C_n

b)

C_eq = 1/(1/C_1 + 1/C_2 + 1/C_3 + ... + 1/C_n)

c)

C_eq = C_1 - C_2 - C_3 - ... - C_n

d)

C_eq = C_1 * C_2 * C_3 * ... * C_n

7.

If two capacitors of 4μF and 6μF are connected in parallel, what is the total capacitance?

a)

2μF

b)

12μF

c)

10μF

d)

8μF

8.

What effect does a dielectric material have on the capacitance of a capacitor?

a)

A dielectric material increases the capacitance of a capacitor.

b)

A dielectric material has no effect on the capacitance of a capacitor.

c)

A dielectric material decreases the capacitance of a capacitor.

d)

A dielectric material only affects the voltage across the capacitor.

9.

What is the relationship between the dielectric strength and the maximum voltage a capacitor can handle?

a)

Dielectric strength is unrelated to voltage ratings.

b)

The maximum voltage a capacitor can handle is limited by the dielectric strength of its insulating material.

c)

Capacitors can handle any voltage regardless of dielectric strength.

d)

Higher dielectric strength allows for lower maximum voltage.

10.

What happens to the stored energy in a capacitor when a dielectric is inserted?

a)

The stored energy in a capacitor decreases when a dielectric is inserted.

b)

The stored energy in a capacitor increases when a dielectric is inserted.

c)

The stored energy in a capacitor remains the same when a dielectric is inserted.

d)

The stored energy in a capacitor is completely discharged when a dielectric is inserted.

11.

What is the impact of using a higher voltage rating capacitor in a circuit?

a)

Lower capacitance but same voltage rating

b)

Increased heat generation with no benefits

c)

Increased reliability and safety, but may be larger and more expensive.

d)

Reduced circuit efficiency and performance

12.

How do you calculate the energy stored in a capacitor with a dielectric?

a)

U = C * V^2

b)

U = 1/2 * C0 * k * V

c)

U = k * C0 * V

d)

U = 1/2 * (k * C0) * V^2

13.

What is the formula for calculating the capacitance of a capacitor?

a)

C = I/V

b)

C = V/Q

c)

C = Q/V

d)

C = Q/I

14.

What is the energy stored in a capacitor with a capacitance of 10μF and a voltage of 12V?

a)

7.2 mJ

b)

0.72 mJ

c)

1.2 mJ

d)

120 mJ

15.

What is the formula for calculating the energy stored in a capacitor?

a)

E = 0.5 * C * V^2

b)

E = C / V

c)

E = V / C

d)

E = C * V

16.

Three capacitors each of the capacity C are given. The resultant capacity 2/3 C can be obtained by using them

a)

All in series

b)

All in parallel

c)

Two in parallel and third in the series with this combination

d)

Two in series and third in parallel across this combination

17.

If three 15 μF capacitors are connected in series, the net capacitance is

a)

5 μF

b)

30 μF

c)

45 μF

d)

50 μF

18.

What is the initial current while charging a capacitor?

a)

High

b)

Low

c)

0

d)

Cannot be determined