Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 92

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Question 1
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A parallel plate capacitor made of circular plates each of radius 6 cm has a capacitance 100 pF . the capacitor is connected to a 230 V ac supply with a angular frequency of 300 rad/s. the amplitude of magnetic field at point 3 cm from the axis between the plates is

A
$$ 1.63 \times 10^{-11} T $$

B
$$ 1.63 \times 10^{-8} T $$

C
$$ 3.26 \times 10^{-10}T $$

D
$$ 2.30 \times 10^{-14} T $$

Solution
Question 2
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As the distance between the plates of a parallel plate capacitor is decreased.

A
Chances of electrical break down will increase if potential difference between the plates is kept constant

B
Chances of electrical break down will decrease if potential difference between the plates is kept constant

C
Chances of electrical break down will increase if charge on the plates is kept constant

D
chances of electrical break down will decrease if charge on the plates is kept constant

Solution
Question 3
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Two point charges at certain distance apart in air repel each other with a force $$F$$. A glass plate is introduced between the charges. The force becomes $${F}_{1}$$, where

A
$${F}_{1}< F$$

B
$${F}_{1}= F$$

C
$${F}_{1}> F$$

D
data is insufficient

Solution
Question 4
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Consider a cube as shown in the figure-I; with uniformly distributed charge in its entire volume. Intensity of electrical field and potential at one of its vertex P are$$ E_0$$ and $$V_o $$ respectively. A portion of half the size (half edge length) of the original cube is cut and removed as shown in the figure-II. Find modulus of electric field and potential at the point P in the new structure.

A
$$ \dfrac {E_0}{2}$$ and $$\dfrac {3 V_0}{4} $$

B
$$ \dfrac {3E_0}{4}$$ and $$\dfrac { V_0}{2} $$

C
$$ \dfrac {3E_0}{4}$$ and $$\dfrac {7 V_0}{8} $$

D
$$ \dfrac {7E_0}{8}$$ and $$\dfrac {7 V_0}{8} $$

Solution
Question 5
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Three uncharged capacitors of capacities $$C_1, C_2$$ and $$C_3$$ are connected as shown in the figure to one another and the points A, B and C are at potentials $$V_1, V_2$$ and $$V_3$$ respectively. Then the potential at O will be?

A
$$\dfrac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}$$

B
$$\dfrac{V_1+V_2+V_3}{C_1+C_2+C_3}$$

C
$$\dfrac{V_1(V_2+V_3)}{C_1(C_2+C_3)}$$

D
$$\dfrac{V_1V_2V_3}{C_1C_2C_3}$$

Solution
Question 6
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The equivalent capacitance between A and B is?

A
$$5C/7$$

B
$$7C/5$$

C
$$7C/12$$

D
$$12C/7$$

Solution
Question 7
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The equivalent capacitance between A and B in the circuit shown in figure, is?

A
C

B
$$2C$$

C
$$3C$$

D
$$C/2$$

Solution
Question 8
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If $$Q$$ charge is given to a spherical sheet of radius $$R$$, the energy of the system is

A
$$\dfrac {Q^{2}}{8\pi \epsilon_{0}R}$$

B
$$\dfrac {Q^{2}}{4\pi \epsilon_{0}R}$$

C
$$\dfrac {Q^{2}}{15\pi \epsilon_{0}R}$$

D
None of these

Solution
Question 9
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The equivalent capacitance between points M and N is?

A
$$\dfrac{11}{5}C_0$$

B
$$\dfrac{6}{5}C_0$$

C
$$\dfrac{5}{6}C_0$$

D
None of these

Solution
Question 10
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In the given arrangement of capacitors, equivalent capacitance between M and N is?

A
$$\dfrac{7C_0}{4}$$

B
$$\dfrac{3C_0}{4}$$

C
$$\dfrac{4C_0}{5}$$

D
None of these

Solution