A large (infinite) rubber sheet which holds a charge per unit area of + = +4 µC/

Question

A large (infinite) rubber sheet which holds a charge per unit area of + = +4 µC/m2 is oriented vertically. A small 20 gram plastic ball is tied to the end of a thread which is attached to the wall. You notice that the thread makes and angle of = 30 degrees with respect to the wall as shown in the figure. (HINT: First, draw a free body diagram for the mass showing all the forces on it.)
(a) Which is the magnitude and direction of the electric field at the position of the ball?
Magnitude N/C
direction
(b) What is the tension in the thread? N
(c) What is the charge on the ball? µC

Explanation / Answer

E = 4e-6/2e0 = 2.25e5 , field T cos 30 = 20e03 * 9.8 , T = 0.226 0.226 sin 30 = q * 2.25e5 q = 5.02e-7 C

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