Question

Electric field in the region is given by $E = \frac{M}{x^{3}}\hat{i,}$ then the correct expression for the potential in the region is [assume potential at infinity is zero]

• A. $\frac{M}{2x^{2}}$
• B. $Mx^{2}$
• C. $\frac{M}{3x^{4}}$
• D. $\frac{M}{x^{2}}$

Answer 1

Answer: (A)

$V = -\int\limits_{\alpha}^{x}E.dr = - \int\limits^{x}_{\alpha} \frac{M}{x^{3}} dx = \frac{M}{2x^{2}}$