Equipotential Surfaces

If a charge $q$ is moved around a charge $Q$ in circular path of radius $r$ with $Q$ as centre then potential difference between any two points on circumference is

A non-uniform electric field is represented by equipotential lines. What is the direction of the electric field line at point $A$?

Equipotential spheres are drawn round a point charge. As we move away from the charge, will the spacing between two spheres having a constant potential difference decrease, increase or remain constant.

Referring to the spherical equipotential lines in Fig. $\left(\mathrm{a}\right)$ find

(a) $\overrightarrow{E}=f\left(r\right)$, (b) $\overrightarrow{E}$-pattern.

The current following through a pure inductor of inductance $4 \mathrm{mH}$ is $i=12\cos 300t$ ampere. What is $rms$.

The instantaneous values of current and voltage in an circuit are given by $I=6\sin \left(100\mathrm{\pi t}+\frac{\mathrm{\pi }}{4}\right),V=5\sin \left(100\mathrm{\pi t}-\frac{\mathrm{\pi }}{4}\right)$. Then

In an ac circuit the current $B$ $i=5\sin \left(100t-\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)$ $A$ and the A.C. potential is $V=200\sin \left(100t\right)$ Volt. Then the power consumed is.

Draw the equipotential surfaces due to an electric dipole. Locate the points where the potential due to the dipole is zero.

The equipotential surface of an electric dipole is

What is the angle between the electric field and the plane of an equipotential surface?

Some equipotential surfaces, which are normal to $x$-$y$ plane are shown in the adjoining figure the direction of the electric field is:

(A) 

(B) 

(C) 

(D) 

What will be the work done in moving a $200 \mathrm{\mu C}$ charge from one point to another point at a distance of $10 \mathrm{cm}$ on an equipotential surface?

What is the shape of equipotential surface for the following: A uniform electric field

Write two properties of equipotential surface.

Show that no work is done in moving a test charge from one point to other on an equipotential surface

What is meant by equipotential surface. Draw equipotential surfaces for a point charge

What is the shape of the equipotential surface for the following: A point charge.

A charge $\mathrm{Q}$ is placed at the centre of a circle of radius $\mathrm{a}$. The work done in carrying a charge $\mathrm{q}$ once round this circle is:

Which of the following option shows the nature of equipotential lines in $x-y$ plane if the electric field intensity at all points in space is given by $\overrightarrow{\mathrm{E}}=\sqrt{3}\hat{\mathrm{i}}-\hat{\mathrm{j}}$ $\mathrm{volts}/\mathrm{metre}$.

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R)
Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surface is always zero.
Reason (R) : Electric lines of forces are always perpendicular to equipotential surfaces.
In the light of the above statements, choose the most appropriate answer from the options given below :