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You rub an inflated balloon on the carpet and it acquires a potential that is 1560 V lower than its potential before it became charged. If the charge is uniformly distributed over the surface of the balloon and if the radius of the balloon is 15 cm, what is the net charge on the balloon

Answer :

Hamzaahmedsgo

This question involves the concepts of charge and potential difference.

The net charge on the balloon is "2.6 x 10⁻⁸ C".

Net Charge on Balloon

The balloon has a shape of a sphere. Therefore, the formula for the charge on the surface of a sphere can be used here, as follows:

[tex]V=\frac{Q}{4\pi \epsilon_o r}\\\\Q=4\pi \epsilon_orV[/tex]

where,

  • Q = net charge = ?
  • r = radius of balloon = 15 cm = 0.15 m
  • V = potential difference = 1560 V
  • [tex]\epsilon_o[/tex] = permittivity of free space = 8.85 x 10⁻¹² C²/N.m²

Therefore,

Q = (4π)(8.85 x 10⁻¹² C²/N.m²)(0.15 m)(1560 V)

Q = 2.6 x 10⁻⁸ C = 26 nC

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Explanation:

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