Question

A pendulum bob of mass m charge q is at rest with its string making an angle theta with the vertical in a uniform horizontal electric field E. The tension in the string in

Answer 1

Answer:

A pendulum bob of weight mg and carrying a charge q is suspended in the electric field E. Suppose that it comes to rest at point A, so that it makes an angle with the vertical as shown. At point A, the bob is acted upon by the following three forces.

(i) Weight mg acting vertically downward. (ii) Tension T in the string along AS (iii)Electrostatic force qE on the bob along horizontal. Since, the bob is in equilibrium under the action of the forces mg, T and qE, these forces can be represented by the sides SN, AS and NA of triangle. Therefore, mg/SN = qE/NA = T/AS = qE = T sin 0 and mg = T = cos 0.

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