A 5.0g conducting sphere with charge of 20 μC hangs by a non-conducting thread in an electric field produced by two plates separated by 8.0cm. What potential will cause the ball to hang at 25° to the vertical?
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Given:
A 5.0 g conducting sphere with charge of 20 μC hangs by a non-conducting thread in an electric field produced by two plates separated by 8.0 cm.
To find:
What potential will cause the ball to hang at 25° to the vertical?
Solution:
From the given information, we have the data as follows.
A 5.0 g conducting sphere with charge of 20 μC hangs by a non-conducting thread in an electric field produced by two plates separated by 8.0 cm.
We are asked to find the value of the potential which causes the ball to hang at 25° to the vertical
The formula for calculating the same is given as follows.
ΔV = mgd tan θ / q
ΔV = (5 × 10^-3 × 9.8 × 8 × 10^-2 × tan 25°) / (2 × 10^-5)
ΔV = 91.4 V
Therefore, the potential is 91.4 V.
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