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12th Physics weekly Test -2 ( Electrostatics )

St. Britto Hr. Sec. School - Madurai

12th Physics weekly Test -2 ( Electrostatics )-Aug 2020

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

The expression for electric potentid difference is

\(\int _{ R }^{ P }{ +\overset { \rightarrow }{ E } .\overset { \rightarrow }{ dr } } \)
\(\\ -\int _{ \infty }^{ P }{ +\overset { \rightarrow }{ E } .\overset { \rightarrow }{ dr } } \)
\(\\\int _{ \infty }^{ P }{ \overset { \rightarrow }{ E } .\overset { \rightarrow }{ dr } } \)
\(\int _{ R }^{ P }{ -\overset { \rightarrow }{ E } .\overset { \rightarrow }{ dr } } \)

Two identical conducting balls having positive charges q₁and q₂ are separated by a center to center distance r. If they are made to touch each other and then separated to the same distance, the force between them will be

less than before
same as before
more than before
zero

A bird sitting an a high power line

gets killed instantly
gets a mild shock
is not affected practically
gets a fatal shock

The figure shows tow parallel equipotential surface A and B kept at a small distance 'r' a part from each other. A point change of Q coulomb is taken from the surface A to B. The amount of net work done will be

\(W=\frac { -1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r } \)
\(W=\frac { 1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r } \)
\(W=\frac { -1 }{ 4\pi { \varepsilon }_{ 0 }r } \frac { q }{ r^2 } \)
zero

Which charge configuration produces a uniform electric field?

point Charge
infinite uniform line charge
uniformly charged infinite plane
uniformly charged spherical shell

Based on Franklin's convention amber rods are_________.

positively charged
negatively charged
neutral
none of the above

An uncharged metal sphere is placed between two equal and oppositely charged metal plates. The nature of lines of force will be

For a large charge accumulation, the end of the conductor should have larger curvature that is_________.

bigger radius
Smaller radius
maximum radius
less bent

Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance r in free space is

\(ε_0E\left(\frac{R}{r} \right)^2\)
\(\frac{ε_0ER}{r^2}\)
\(ε_0E\left(\frac{r}{R} \right)^2\)
\(e_0E\frac{r}{R^2}\)

Electrostatics deals with the _________

charges in motion
static electric charges
charges through conductors
accelerated charges

The unit of electric dipole moment is ________.

volt/metre\([\frac{V}{m}]\)
coulomb / metre\([\frac{C}{m}]\)
volt. metre [Vm]
Coulomb. metre (Cm)

The concept of 'Field' was introduced by

Faraday
Gauss
Maxwell
None

For continuous charge distributions, _____ methods can be used.

integration
differentiation
multiplication
addition

An electric dipole is placed at an alignment angle of 30⁰ with an electric fi eld of 2 × 10⁵ NC^-1. It experiences a torque equal to 8 N m. Th e charge on the dipole if the dipole length is 1 cm is

4 mC
8 mC
5 mC
7 mC

Electric lines of force ________.

intersect each other
never intersect
intersect at infinity
are always parallel

Two point charges +q and -q are placed at points A and B respectively separated by a small distance. The electric field intensity at the midpoint O of AB :

is zero
acts along AB
acts along BA
acts perpendicular to AB

Based on Franklin's convention amber rods are_________.

positively charged
negatively charged
neutral
none of the above

When three capacitors are joined in series, the total capacitance is

Equal to the sum of the capacitance
Greater than the value of the maximum capacitance
Less than the value of the mininim capacitance
none of the above

The time taken by a conductor to reach electrostatic equilibrium is in the order of

10^-18
10^-14s
10^-16 s
10^-20 s

Two copper spheres A and B of same size are charged to same potential. A is hollow and B is solid. Which of the two holds more charge?

Solid sphere cannot hold any charge
hollow sphere cannot hold any charge
both have zero charge
both have the same charge

Part - B

Generic 5 - Answer All Question

Find the equivalent capacitance between P and Q for the configuration shown below in the figure (a).

A capacitor of capacity 10μF is subjected to charge by a battery of 10V. Calculate the energy stored in the capacitor.

A parallel plate capacitor has plate area, 25 cm⁺² and a separation of 2 mm between the plates. The capacitor is connected to a battery of 12V. Find the charge on the capacitor.

Derive an expression for electrostatic potential energy of the dipole in a uniform' electric field.

In the circuit shown in figure. Find
(i) The equivalent capacitance and
(ii) The charge stored in each capcicitor

A network of six identical capacitors, each of value C is made as shown in the figure find the equivalent capacitance between the points A&B.

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