Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 63

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Weekly Quiz Competition

Question 1
1 / -0

In the figure shown below, the charge on the left plate of the 10 $$\mu F$$ capacitor is -30 $$\mu C$$. The charge on the right plate of the 6 $$\mu F$$ capacitor is :

A
$$-18\mu C$$

B
$$-12\mu C$$

C
$$+12\mu C$$

D
$$+18\mu C$$

Solution
Question 2
1 / -0

The electric potential at the apex p of regular pyramid of length '$$l$$' due to system of charges q, -2q, and 3q is

A
$$\dfrac{2q}{\pi \epsilon_0 l}$$

B
$$\dfrac{q}{4 \pi \epsilon_0 l}$$

C
$$\dfrac{q}{2 \pi \epsilon_0 l}$$

D
$$\dfrac{q}{\pi \epsilon_0 l}$$
Question 3
1 / -0

The electric potential at a point $$(x,0,0)$$ is given by$$V=\left[\dfrac{1000}{\chi }+\dfrac{1500}{\chi }+\dfrac{500}{\chi }^3\right]$$
then the electric field at $$x =1\, m$$ is (in volt/m)

A
$$-5500 \, \hat{i}$$

B
$$5500 \, \hat{i}$$

C
$$\sqrt{5500 \, \hat{i}}$$

D
Zero
Question 4
1 / -0

The equivalent capacitance between P and Q is

A
$$10\mu$$F

B
$$20\mu$$F

C
$$5\mu$$F

D
$$15\mu$$F

Solution
Question 5
1 / -0

Each cell has EMF $$ \varepsilon $$ and internal resistance r as figure.Find the current through resistance R.

A
$$ \dfrac {4\varepsilon }{r} $$

B
$$ \dfrac {2\varepsilon }{r} $$

C
$$ \dfrac {\varepsilon }{r} $$

D
zero
Question 6
1 / -0

The figure show several equipotential lines. Comparing between points $$A$$ and $$\mathrm { B }$$ , pick up the best possible statement

A
the electric field has a greater magnitude at point $$\mathrm { A }$$ and is directed to left.

B
the electric field has a greater magnitude at point $$\mathrm { A }$$ and is directed to right.

C
the electric field has a greater magnitude at point $$\mathrm { B }$$ and is directed to left.

D
the electric field has a greater magnitude at point $$\mathrm { B }$$ and is directed to lright.

Solution
Question 7
1 / -0

The potential at a point, due to a positive charge of $$10\mu { C }$$ at a distance of $$9 m$$ is

A
$$10^{ { 5 } }V$$

B
$$10^{ { 3 } }V$$

C
$$10^{ { 6 } }V$$

D
$$10^{ { 4 } }V$$

Solution
Question 8
1 / -0

A parallel place condenser has conducting of rasines 12$$\mathrm { cm }$$ seperated by a distance of 5$$\mathrm { mm }$$ . It is charged with a constant changing curreat of 0.16$$\mathrm { A }$$ the rate at which the potential difference between the plates change is

A
$$1 \times 10 ^ { \circ } \mathrm { Vs } ^ { - 1 }$$

B
$$2 \times 10 ^ { 10 } \mathrm { Vs } ^ { - 1 }$$

C
$$3 \times 10 ^ { 12 } \mathrm { Vs } ^ { - 1 }$$

D
$$2 \times 10 ^ { 9 } \mathrm { Vs } ^ { - 1 }$$
Question 9
1 / -0

Find capacity between late P and Q :

A
$$\dfrac { 3 }{ 2 } C$$

B
$$\dfrac { C }{ 2 } $$

C
$$\dfrac { 5 }{ 2 } C$$

D
$$\dfrac { 2 }{ 3 } C$$
Question 10
1 / -0

In the circuit shown here $$C_1 = 6\, \mu \, F, C_2 = 3\, \mu\, F$$ and battery $$B= 20\, V$$. The switch $$S_1$$ is first closed then opened and afterwards $$S_2$$ is closed. What is the charge finally on $$C_2$$

A
$$120\,\mu\, C$$

B
$$80\,\mu\, C$$

C
$$40\,\mu\, C$$

D
$$20\,\mu\, C$$

Solution