Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

What is the electric potential due to a dipole along with its axial position?

Options:

$\frac{p}{4\pi \epsilon_0 r}$

$\frac{p}{2\pi \epsilon_0 r}$

$\frac{p}{2\pi \epsilon_0 r^2}$

$\frac{p}{4\pi \epsilon_0 r^2}$

Correct Answer:

$\frac{p}{4\pi \epsilon_0 r^2}$

Explanation:

$\text{Potential due to a dipole at a point is }V = \frac{p cos\theta}{4\pi\epsilon_0 r^2}$

$\Rightarrow \text{ At axial position }\theta = 0^o \text{ or } 180^o$

$\Rightarrow$ Vaxial = +- \(\frac{p}{4\pi\epsilon_{o}r^{2}}\)