In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105 N C-1 m-1, torque experienced by the system is

Question

In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105 N C-1 m-1, torque experienced by the system is (A) 102 N (B) 10-2 N (C) zero (D) 103 N

Tardigrade Admin · Accepted Answer

The force on the dipole is along negative direction of z-axis, so θ = 180° ∴ Torque on dipole, τ=PE sin 180°=0

Q. In a certain region of space, electric field is along the $z$ -direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive $z$ -direction at the rate of $1 0^{5} N C^{- 1} m^{- 1}$ , torque experienced by the system is

$1 0^{2} N$

$1 0^{- 2} N$

zero

$1 0^{3} N$

The force on the dipole is along negative direction of $z$ -axis, so $θ = 18 0^{°}$
$∴$ Torque on dipole, $τ = PE s in 18 0^{°} = 0$

Q. In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is however not constant, but increases uniformly along the positive z-direction at the rate of 105NC−1m−1, torque experienced by the system is

102N

10−2N