The electric field in a region is given by E = ((A/x3)) hati An expression for the potential in the region assuming the potential at infinity to be zero is

Question

The electric field in a region is given by E = ((A/x3)) hati An expression for the potential in the region assuming the potential at infinity to be zero is (A)  (A/2x3)  (B)  (2x3/A)  (C)  (A2/2x)  (D)  (A2/2x2)

Tardigrade Admin · Accepted Answer

Given, E = (A/X3) i We know that, E = - (dv/dx) ∫ dv = - ∫ - E dx V = -∫((A/x3)) dx V = (1/2) ⋅ (A/x2)

Q. The electric field in a region is given by $E = (\frac{A}{x ^{3}}) \hat{i}$ An expression for the potential in the region assuming the potential at infinity to be zero is

$\frac{A}{2 x ^{3}}$

$\frac{2 x ^{3}}{A}$

$\frac{A ^{2}}{2 x}$

$\frac{A ^{2}}{2 x ^{2}}$

Given, $E = \frac{A}{X ^{3}} i$
We know that,
$E = - \frac{d v}{d x}$
$\int d v = - \int - E d x$
$V = - \int (\frac{A}{x ^{3}}) d x$
$V = \frac{1}{2} \cdot \frac{A}{x ^{2}}$

Q. The electric field in a region is given by E=(x3A​)i^ An expression for the potential in the region assuming the potential at infinity to be zero is

2x3A​

A2x3​

2xA2​

2x2A2​