A dipole of moment is placed with its centre at the origin and directed along the…

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

A dipole of moment

4.0\times10^{-8}\,\text{C\,m}

is placed with its centre at the origin and directed along the positive

x

-axis. Consider the following points in vacuum:

A(0.15\,\text{m},\,30^{\circ})

B(0.20\,\text{m},\,60^{\circ})

, and

C(0.25\,\text{m},\,\theta_C)

, where each ordered pair denotes

(r,\theta)

in spherical coordinates measured from the dipole axis. (i) Write expressions for the electric potentials

V_A

and

V_B

at points

A

and

B

respectively. (ii) Obtain an expression for the potential difference

V_A-V_B

in terms of the given numerical values. (iii) Compute the numerical value of

V_A-V_B

. (iv) Determine the angle

\theta_C

for point

C

such that its potential equals that at

B

. Show all algebraic steps clearly.