Electrostatics Test

Result

Electrostatics Test - 161

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Weekly Quiz Competition

Question 1
4 / -1

Two parallel plate air capacitors have their plate areas 100 and 500 cm² respectively. If they have the same charge and potential and the distance between the plates of the first capacitor is 9.5 mm, what is the distance between the plates of the second capacitor ?

A
0.25 cm

B
0.50 cm

C
0.75 cm

D
1 cm

Solution
Question 2
4 / -1

The effective capacitances of two capacitors are 3F and 16F , when they are connected in series and parallel respectively. The capacitance of each capacitor is

A
2F,14F

B
4F,12F

C
6F, 8F

D
10F, 6F

Solution
Question 3
4 / -1

An electrical technician requires a capacitance of 2F in a circuit across a potential difference of 1KV. A large number of 1F capacitors are available to him, each of which can withstand a potential difference of not than 400 V. suggest a possible arrangement that requires a minimum number of capacitors.

A
2 rows with 2 capacitors

B
4 rows with 2 capacitors

C
3 rows with 4 capacitors

D
6 rows with 3 capacitors

Solution
Question 4
4 / -1

Two spherical conductors of radii r₁ and r₂ are at potentials V₁ and V₂ respectively, then what will be the common potential when the conductors are brought in constant ?

A

B

C

D
None of these

Solution
Question 5
4 / -1

A 5F capacitor is charged by a 220 V supply. It is then disconnected from the supply and is connected to another uncharged 2.5F capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation ?

A
0.02 J

B
0.121 J

C
0.04 J

D
0.081 J

Solution
Question 6
4 / -1

Find the equivalent capacitance of the system across the terminals A and B. All the capacitors have equal capacitances.

A
2C

B
4C

C
3C

D
5C
Question 7
4 / -1

Capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (d is the separation between the plates). The dielectric constant of the slab is

A
8

B
4

C
6

D
2

Solution
Question 8
4 / -1

The plates of a parallel capacitor are charged up to 100 V. If 2 mm thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by 1.6mm the dielectric constant of the plate is

A
5

B
4

C
1.25

D
2.5

Solution
Question 9
4 / -1

A parallel plate air capacitor has a capacitance 18F. If the distance between the plates is tripled and a dielectric medium is introduced, the capacitance becomes 72F. The dielectric constant of the medium is

A
4

B
12

C
9

D
2

Solution
Question 10
4 / -1

Taking earth to be a metallic spheres, its capacity will approximately be

A

B
700 F

C
711 F

D
700 pF

Solution