Electric field in the region is given by E = (M/x3) hati, then the correct expression for the potential in the region is [assume potential at infinity is zero]

Question

Electric field in the region is given by E = (M/x3) hati, then the correct expression for the potential in the region is [assume potential at infinity is zero] (A) (M/2x2) (B) Mx2 (C) (M/3x4) (D) (M/x2)

Tardigrade Admin · Accepted Answer

V = -∫ limitsαxE.dr = - ∫ limitsxα (M/x3) dx = (M/2x2)

Q. 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]

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

$M x^{2}$

$\frac{M}{3 x ^{4}}$

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

$V = - α \int x E . d r = - α \int x \frac{M}{x ^{3}} d x = \frac{M}{2 x ^{2}}$

Q. Electric field in the region is given by E=x3M​i,^​ then the correct expression for the potential in the region is [assume potential at infinity is zero]

2x2M​

Mx2

3x4M​

x2M​