InterviewSolution
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InterviewSolution
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Two charges of `-4 muC and +4muC` are placed at the points `A (1,0,4) and B (2,-1,5)` location in an electric field `vec(E) = 0.20 hat(i) V//cm`. Calculate the torque acting on the dipole. |
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Answer» Correct Answer - `1.13xx10^(-4) N-m` As A `(1, 0,4), B (2,-1,5)` `:. 2 vec(a) = vec(AB) = [(2-1) hat(i) + (-1 - 0) hat(j) + (5-4) hat(k)]` `= [hat(i) - hat(j) + hat(k)]` `q = +- 4xx10^(-6) C, E = 0.20 hat(i) V//cm = 20 hat(i) V//m` As `vec(tau) = vec(p) xx vec(E) = q (2 vec(a)) xx vec(E)` `:. vec(tau) = 4xx10^(-6) (hat(i) - hat(j) + hat(k)) xx20 hat(i)` `vec(tau) = 8xx10^(-5) (hat(k) + hat(j))` Magnitude of torque, `tau = 8xx10^(-5) sqrt(1^(2) + l^(2)) = 1.13xx10^(-4) N-m` |
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