9. A uniform electric field of 300 N/C makes an angle of25° with the dipole mome

Question

9. A uniform electric field of 300 N/C makes an angle of25° with the dipole moment of an electric dipole. If the torque exerted by the field has amagnitude of 2.5 × 10–7 N m, the dipole moment must be: A) 8.3 × 10–10 C m D) 8.3 ×10–5 C m B) 9.2 × 10–10 C m E) 1.8 ×10–4 C m C) 2.0 × 10–9 C m 9. A uniform electric field of 300 N/C makes an angle of25° with the dipole moment of an electric dipole. If the torque exerted by the field has amagnitude of 2.5 × 10–7 N m, the dipole moment must be: A) 8.3 × 10–10 C m D) 8.3 ×10–5 C m B) 9.2 × 10–10 C m E) 1.8 ×10–4 C m C) 2.0 × 10–9 C m

Explanation / Answer

The torque acting on the dipole when placed in uniformelectric field               = pEsin Therefore the dipole moment p = /Esin                                                 =  2.5× 10–7 N / 300 N/C* sin25                                                = 1.97 x 10-9 C.m                                                 ˜ 2.0 x 10-9 C.m

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