A pith ball of mass 0.2g is hung by insulated thread between the plates of a capacitor of separation 8cm . Find the potential difference between the plates to cause the thread to incline at an angle 15° with the vertical , if the charge in the pith ball is equal to 10^-7
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V = 6.15×10³ volts
Explanation:
On balancing horizontal and vertical forces, we get:
Tcos θ = mg
Tsin θ = QE where Q is the charge and E is the electric field.
Dividing the equations we get:
T sin θ / T cos θ = QE / mg
Tan θ = (Q V/d) / mg
Tan θ = QV/dmg
So Potential difference V = dmg / Q tan θ
= ( 8 * 10^-2 * 0.2 * 10^-3 * 10 ) / ( 10^-7 tan 15)
= 1.6 * 10³ / tan 15
= 1.6 * 10³ / 0.26
= 6.15×10³ volts.
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