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Question

# A small sphere with mass 1.2 g hangs by a thread between two parallel vertical plates 5.00 cm apart. The plates are insulating and have uniform surface charge densities +σ and −σ. The charge on the sphere is q=9×10−6C. What potential difference between the plates will cause the thread to assume an angle of 37∘ with the vertical as shown in figure ?

A
30V
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B
12V
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C
50V
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D
25V
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Solution

## The correct option is C 50Vq=9×10−6C,m=1.2ℊ=1.21000㎏d=5㎝=5100m,θ=37°Electric field, E=V0.05Force, F=qE=qV0.05⇒mgcosθ=q×V0.05⇒V=0.05×mgcosθq=0.05×1.2×10−3×10×cos37°9×10−6≃50V

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