An electric dipole consists of two opposite charges, each of magnitude 1.0 μ C separated by a distance of 2.0 cm. The dipole is placed in an external electric field of 105 N C-1. The maximum torque on the dipole is

Question

An electric dipole consists of two opposite charges, each of magnitude 1.0 μ C separated by a distance of 2.0 cm. The dipole is placed in an external electric field of 105 N C-1. The maximum torque on the dipole is (A) 0.2 × 10-3 N m (B) 1 × 10-3 N m (C) 2 × 10-3 N m (D) 4 × 10-3 N m

Tardigrade Admin · Accepted Answer

Here, τmax=pEsin90° =q(2a)E=10-6×2×10-2×105 =2×10-3 N m.

Q. An electric dipole consists of two opposite charges, each of magnitude $1.0 μ C$ separated by a distance of $2.0 c m$ . The dipole is placed in an external electric field of $1 0^{5} N C^{- 1}$ . The maximum torque on the dipole is

$0.2 \times 1 0^{- 3} N m$

$1 \times 1 0^{- 3} N m$

$2 \times 1 0^{- 3} N m$

$4 \times 1 0^{- 3} N m$

Here, $τ_{ma x} = pE s in 9 0^{\circ}$
$= q (2 a) E = 1 0^{- 6} \times 2 \times 1 0^{- 2} \times 1 0^{5}$
$= 2 \times 1 0^{- 3} N m$ .

Q. An electric dipole consists of two opposite charges, each of magnitude 1.0μC separated by a distance of 2.0cm. The dipole is placed in an external electric field of 105NC−1. The maximum torque on the dipole is

0.2×10−3Nm

1×10−3Nm

2×10−3Nm

4×10−3Nm