A dipole of dipole moment overset arrow p=p hati lies along the x -axis in a non-uniform electric field overset arrow E=(c/x) hati . The force acting on the dipole is

Question

A dipole of dipole moment overset arrow p=p hati lies along the x -axis in a non-uniform electric field overset arrow E=(c/x) hati . The force acting on the dipole is (A) zero (B) -(p c/x2) hati (C) (p c/x2) hati (D) -(p c/2 x2) hati

Tardigrade Admin · Accepted Answer

The force acting on a dipole is overset arrow F= overset arrow p( partial Ex/ partial x) overset arrow F= overset arrow p(d/d x)((c/x))=-(p c/x2) hati

Q. A dipole of dipole moment $p \to = p \hat{i}$ lies along the $x$ -axis in a non-uniform electric field $E \to = \frac{c}{x} \hat{i}$ . The force acting on the dipole is

zero

$- \frac{p c}{x ^{2}} \hat{i}$

$\frac{p c}{x ^{2}} \hat{i}$

$- \frac{p c}{2 x ^{2}} \hat{i}$

The force acting on a dipole is
$F \to = p \to \frac{\partial E _{x}}{\partial x}$
$F \to = p \to \frac{d}{d x} (\frac{c}{x}) = - \frac{p c}{x ^{2}} \hat{i}$

Q. A dipole of dipole moment p→​=pi^ lies along the x -axis in a non-uniform electric field E→=xc​i^ . The force acting on the dipole is

zero

−x2pc​i^

x2pc​i^

−2x2pc​i^

The force acting on a dipole is F→=p→​∂x∂Ex​​ F→=p→​dxd​(xc​)=−x2pc​i^

Q. A dipole of dipole moment $p \to = p \hat{i}$ lies along the $x$ -axis in a non-uniform electric field $E \to = \frac{c}{x} \hat{i}$ . The force acting on the dipole is

$- \frac{p c}{x ^{2}} \hat{i}$

$\frac{p c}{x ^{2}} \hat{i}$

$- \frac{p c}{2 x ^{2}} \hat{i}$

The force acting on a dipole is
$F \to = p \to \frac{\partial E _{x}}{\partial x}$
$F \to = p \to \frac{d}{d x} (\frac{c}{x}) = - \frac{p c}{x ^{2}} \hat{i}$