Charged pendulum in electric field
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A 1.00 g cork ball with charge 2.00 uC is suspended vertically on a 5.00 m long, light string in the presence of a uniform, downward-directed electric field of magnitude E = 1.00 x 10^5 N/C. If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum.
a) Determine the period of this oscillation.
Also, can you tell me if you think gravity should be included in this calculation?
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The expert examines charged pendulum in electric fields.
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The electric field acts with constant force F_e = qE = 2x10^{-6} C * 1x10^5 N/C = 0.2 N on the cork ball, directed down.
The gravity acts with constant force F_g = mg = 0.001 kg * 9.8 m/s^2 ~= 0.0098 N directed down.
It is 20 times smaller than the electric force and can be neglected if you do not bother about precision. I shall keep it in case you want better ...
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