Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 90

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Weekly Quiz Competition

Question 1
1 / -0

In the circuit figure, find the charge of the condenser having capacity $$3\mu F$$

A
$$9\mu C$$

B
$$12.6\mu C$$

C
$$7\mu C$$

D
$$30\mu C$$

Solution
Question 2
1 / -0

In the figure, a proton moves a distance d in a uniform $$\vec{E}$$ as shown in the figure. If W is work done by the electric field and $$\Delta U$$ is change in the electric potential energy of the proton then.

A
W < 0 and $$\Delta U$$ > 0

B
W < 0 and $$\Delta U$$ < 0

C
W > 0 and $$\Delta U$$ > 0

D
W < 0 and $$\Delta U$$ = 0

Solution
Question 3
1 / -0

A capacitor $${ C }_{ 1 }=1\mu F$$ is charged to a potential of $$100 V$$ . The charging battery is taken removed and it is connected to another capacitor of capacity $${ C }_{ 2 }=2\mu F$$. One plate of $${ C }_{ 2 }$$ is earthed as shown in figure. The charges on $${ C }_{ 1 }$$and $${ C }_{ 2 }$$ in steady state will be :

A
$$50\mu C,50\mu C$$

B
$$100\mu C,$$ zero

C
$$\dfrac { 100 }{ 3 } \mu C,\dfrac { 200 }{ 3 } \mu C$$

D
zero, zero

Solution
Question 4
1 / -0

Three identical charged capacitors each of capacitance 5 $$\mu F$$ are connected as shown in figure. Potential difference across capacitor (3), long time after the switches $$K_1$$ and $$K_2$$ are closed, is

A
20 V

B
10 V

C
5 V

D
Zero
Question 5
1 / -0

You are given three condensers, each of capacitance $$ 30 \mu F $$ and $$2$$ battery of emf $$200 V$$. They can be joined in series or in parallel. Which arrangement of the condensers will give the minimum energy?

A
All in series

B
All in parallel

C
Two in series and the third in parallel

D
Two in parallel and the third in series

Solution
Question 6
1 / -0

A point charge $$q = 1\ C$$ and mass $$1\ kg$$ is projected with speed $$10\ ms^{-1}$$ in the perpendicular direction of uniform electric field $$E = 100\ Vm^{-1}$$ The value of latus rectum of the path followed by charged particle (in meter) is :

A
5

B
3

C
1

D
2
Question 7
1 / -0

The effective capacitance between points $$A$$ and $$B$$ is

A
$$10\, \mu F$$

B
$$\dfrac{40}{3} \mu F$$

C
$$20\, \mu F$$

D
$$\dfrac{100}{3} \mu F$$

Solution
Question 8
1 / -0

If potential of $$A$$ is $$10 V ,$$ then potential of $$B$$ is :-

A
$$\dfrac { 25 }{ 3 } { V }$$

B
$$\dfrac { 50 }{ 3 } { V }$$

C
$$\dfrac { 100 }{ 3 } { V }$$

D
$$50 V$$

Solution
Question 9
1 / -0

Two parallel plate capacitors whose capacitance are $$C$$ and $$2 C$$ respectively, are joined in parallel, these are charged by $$V$$ potential difference. if the battery is now removed and a dielectric of dielectric constant $$K$$ is filled in between the plates of the capacitor $$C,$$ then what will be the potential difference across each capacitor:

A
$$\dfrac { V } { K + 2 }$$

B
$$\dfrac { 2V } { K + 2 }$$

C
$$\dfrac { 3V } { K + 2 }$$

D
$$\dfrac { 2 + K } { 3 V }$$

Solution
Question 10
1 / -0

The equivalent capacitance between point $$A$$ and $$B$$ of the circuit shown will be:

A
$$\frac{2}{3}\mu F$$

B
$$\frac{5}{3}\mu F$$

C
$$\frac{8}{3}\mu F$$

D
$$\frac{7}{3}\mu F$$

Solution