Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 82

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Weekly Quiz Competition

Question 1
1 / -0

Four metallic plates each of area A and separated from one another by a distance d are arranged as shown in the figure. What is the capacitance between X and Y ?

A
C = $$\frac{\epsilon_0 A}{d}$$

B
C = $$\frac{4\epsilon_0 A}{d}$$

C
C = $$\frac{2\epsilon_0 A}{d}$$

D
C = $$\frac{3\epsilon_0 A}{d}$$

Solution
Question 2
1 / -0

When two identical capacitors are connected in series, the equivalent capacitance is 7.5 $$\mu F$$. What is the equivalent capacitance when they are connected in parallel?

A
(25$$\mu F$$)

B
(20$$\mu F$$)

C
(30$$\mu F$$)

D
(0$$\mu F$$)

Solution
Question 3
1 / -0

In the figure a potential of +1200 V is given to point A and point B is earthed,what is the potential at the point P

A
100 V

B
200 V

C
400 V

D
600 V

Solution

Potential of $$=+1200V$$
Point $$A$$ and point $$B$$ is earthed $${ R }_{ 0 }$$ at point $$P$$,
equivalent capacitance, $$\dfrac { \left( 4+2 \right) \times 3 }{ 6+3 } =\dfrac { 6\times 3 }{ 9 } =2\mu F$$
Now, $${ V }_{ P }$$ at point $$P$$ $$={ V }_{ P }=1200\times \dfrac { 1 }{ 3 } =400V$$
$${ V }_{ P }$$ is passing through only $$3\mu F$$.
Question 4
1 / -0

In the figure shown $$ a+3 \mu c $$ charge and $$ a-2 \mu c $$ charge are placed on the x-axis.in which of the regions on the x-axis is a point where the electrical potential is zero.

A
Region II only

B
Region III only

C
Region II and III

D
Region I, II and III

Solution
Question 5
1 / -0

The equivalent capacitance between A and B

A
$$4\mu F$$

B
$$6\mu F$$

C
$$\left( {4/3} \right)\mu F$$

D
$$2\mu F$$

Solution
Question 6
1 / -0

A capacitor of capacitance $$ 1 \mu F $$ withstands a maximum voltage of 6 kilovolt while another capacitor of $$ 2 \mu F $$ withstands a maximum voltage 4 kilovolt . if the two capacitor are connected in series, the system will withstand a maximum of:

A
2kV

B
4kV

C
6kV

D
9kV

Solution
Question 7
1 / -0

In steady-state, the charge of $$6$$ $$\mu F$$ capacitor is

A
$$10$$ $$\mu C$$

B
$$20$$ $$\mu C$$

C
$$30$$ $$\mu C$$

D
$$40$$ $$\mu C$$

Solution
Question 8
1 / -0

The polarising angle of a glass slab for green light is $$ 54.75^0 $$. what is the angle of minimum deviation of a ray of green light for an equilateral prism made of the same material as that of the glass slab?
$$( given : \tan 54.75^0 =1.414 ) $$

A
$$ 54.75^0 $$

B
$$ 60^0 $$

C
$$ 45^0 $$

D
$$ 30^0 $$

Solution
Question 9
1 / -0

For section $$AB$$ of a circuit shown in Figure. $$C_1=1\mu F$$, $$C_2=2\mu F$$, $$E=10V$$, and the potential difference $$V_A-V_B=-10V$$. Charge on capacitor $$C_1$$ is

A
$$0\mu C$$

B
$$20/3\mu C$$

C
$$40/3\mu C$$

D
$$None$$

Solution
Question 10
1 / -0

The circuit shown is in state. Electrostatic potential energy stored by the circuit is

A
$${ CV }^{ 2 }$$

B
$$ 3 { CV }^{ 2 }$$

C
$$ 5 { CV }^{ 2 }$$

D
$$ 7 { CV }^{ 2 }$$

Solution