How Is Electric Force Balancing a Suspended Charged Ball in a Capacitor?

AI Thread Summary
The discussion focuses on a physics problem involving a charged ball suspended in a capacitor. The ball, with a mass of 6.10 x 10^-3 kg and a charge of +0.150 µC, is in equilibrium, making a 30° angle with the vertical. To find the charge on each plate of the capacitor, one must equate the electric force acting on the ball to the gravitational force, ensuring a net force of zero. Participants are encouraged to show their work and provide detailed calculations. The problem emphasizes understanding the balance of forces in a static scenario.
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A small plastic ball of mass 6.10 10-3 kg and charge +0.150 µC is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the vertical. The area of each plate is 0.0150 m2. What is the magnitude of the charge on each plate?
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I tried several times and the most reasonable answer I get is .9715 m but wrong... Thanks in advance
 
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Please show your work.

This is a statics problem. The electric force = Fe = qE must equal the restoring force for a net force of zero on the ball.

Start by determing the restoring force on the ball, i.e. the gravitational force. Write out the force balance equation.
 

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