Question #200958

A metallic table tennis ball of mass 0.127 g has a charge of 7.3E-6 C.  What potential difference is required to hold the table tennis ball in suspension across a large parallel plate apparatus with plate separation of 20.0 cm.


1
Expert's answer
2021-05-31T08:39:17-0400

In order to hold the table tennis ball in suspension across a large parallel plate apparatus the force of gravity acting on the ball must be balanced by the electric force:


Fe=Fg,F_e=F_g,qE=mg,qE=mg,qΔVd=mg,\dfrac{q\Delta V}{d}=mg,ΔV=mgdq,\Delta V=\dfrac{mgd}{q},ΔV=1.27104 kg9.8 ms20.2 m7.3106 C=34 V.\Delta V=\dfrac{1.27\cdot10^{-4}\ kg\cdot9.8\ \dfrac{m}{s^2}\cdot0.2\ m}{7.3\cdot10^{-6}\ C}=34\ V.

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