Capacitors Test

Result

Capacitors Test - 4

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Weekly Quiz Competition

Question 1
4 / -1

Two capacitances of capacity C₁ and C₂ are connected in series and potential difference V is applied across it. Then the potential difference across C₁ will be

A

B

C

D

Solution

So, potential difference across
Question 2
4 / -1

A light bulb, a capacitor and a battery are connected together as shown here, with switch S initially open. When the switch S is closed, which one of the following is true?

A
The bulb will light up for an instant when the capacitor starts charging

B
The bulb will light up when the capacitor is fully charged

C
The bulb will not light up at all

D
The bulb will light up and go off at regular intervals

Solution

Current through the circuit can flow only for the small time of charging, once capacitor get’s charged it blocks the current through the circuit and bulb will go off.
Question 3
4 / -1

Capacity of a parallel plate condenser is 10µF when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4cm, its capacity will be:

A
10µF

B
15µF

C
20µF

D
40µF

Solution
Question 4
4 / -1

Three condensers each of capacitance 2F are put in series. The resultant capacitance is:

A
6 F

B
3/2 F

C
2/3 F

D
5F

Solution
Question 5
4 / -1

What is the area of the plates of a 3F parallel plate capacitor, if the separation between the plates is 5 mm

A
1.694 × 10⁹ m²

B
4.529 × 10⁹ m²

C
9.281 × 10⁹ m²

D
12.981 × 10⁹ m²

Solution
Question 6
4 / -1

Two capacitors of 10µ F and 20µ F are connected in series with a 30V battery. The charge on the capacitors will be, respectively

A
100 µ C, 200µ C

B
200 µ C, 100µ C

C
100 µ C, 100µ C

D
200 µ C, 200µ C

Solution

In series combination of capacitor charge on each capacitor is same
Question 7
4 / -1

If potential difference of a condenser µ F)6( is changed from 10 V to 20 V then increase in energy is

A
2×10⁻⁴ J

B
4×10⁻⁴ J

C
3×10⁻⁴ J

D
9×10⁻⁴ J

Solution
Question 8
4 / -1

The diameter of each plate of an air capacitor is 4 cm. To make the capacity of this plate capacitor equal to that of 20 cm diameter sphere, the distance between the plates will be

A
4×10^-3 m

B
1×10^-3 m

C
1 cm

D
1×10^-3 cm

Solution
Question 9
4 / -1

A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

A
Zero

B
4πε₀a

C
4πε₀b

D

Solution

Capacitance when outer sphere is earthed
Question 10
4 / -1

After charging a capacitor of capacitance 4µ F upto a potential 400 V, its plates are connected with a resistance of 1 kΩ . The heat produced in the resistance will be

A
0.16 J

B
1.28 J

C
0.64 J

D
0.32 J

Solution

This is the discharging condition of capacitor and in this condition energy released U = 1/2 CV²