A small sphere with mass 1.80 g hangs by a thread between two large parallel ver

Question

A small sphere with mass 1.80g hangs by a thread between two large parallel vertical plates 5.00 cm apart(Figure 1) . The plates are insulating and have uniform surface charge densities +? and ??. The charge on the sphere is q = 9.90

A small sphere with mass 1.80g hangs by a thread between two large parallel vertical plates 5.00 cm apart(Figure 1) . The plates are insulating and have uniform surface charge densities +? and ??. The charge on the sphere is q = 9.90 times 10?6C. What potential difference between the plates will cause the thread to assume an angle of 30.0?with the vertical?

Explanation / Answer

Let the potential difference be V ..

so.. electric field = V / d = V / 0.05 = 20*V

so... tan 30 = q*E / (mg) = (9.9*10^-6 * 20*V ) / (0.0018*9.8)

so.. V = 51.43666 V

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