Force between two plates parallel plate capacitor


Asked by maham237 @ in Physics viewed by 304 People


A parallel-plate capacitor is constructed of two horizontal 15.6-cm-diameter circular plates. A 1.1 g plastic bead with a charge of -6.4 nC is suspended between the two plates by the force of the electric field between them. What is the charge on the positive (upper) plate?

Answered by maham237 @



Answer:

Q = 2.8 \times 10^{-7} C

Explanation:

If the bead is suspended between the plates, then the electrostatic force applied by the plates is equal to its weight.

mg = Eq

The relation between the electric field and charge in a parallel plate capacitor is

E = \frac{Q}{\epsilon_0 A} = \frac{mg}{q}\\Q = \frac{mg\epsilon_0 A}{q} = \frac{(1.1\times 10^{-3})(9.8)(8.8\times 10^{-12})(191\times 10^{-4})}{6.4\times 10^{-9}} = 2.8\times 10^{-7}


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