The potential difference between a storm cloud and the ground is 100 million V.If a charge of 1.2 C flashes in a bolt from cloud to Earth, what is the change of potential energy of the charge?Express your answer to two significant figures and include the appropriate units.

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Answer:

Change in potential energy, [tex]U=1.2\times 10^8\ J[/tex]

Explanation:

Given that,

The potential difference between a storm cloud and the ground is 100 million V, [tex]V=100\ million V=100\times 10^6\ V=10^8\ V[/tex]

If a charge of 1.2 C flashes in a bolt from cloud to Earth, q = 1.2 C

We need to find the change of potential energy of the charge. The relation between the potential difference and the potential energy of the charge is given by :

[tex]U=qV[/tex]

U is the potential energy of the charge

[tex]U=1.2\times 10^8\ J[/tex]

So, the change of potential energy of the charge is [tex]U=1.2\times 10^8\ J[/tex]. Hence, this is the required solution.

The change in potential energy will be "1.2×10⁸ J".

According to the question,

  • Potential difference, V = 100 mV

                                                = 100×10⁶ V

                                                = 10⁸ V

  • Charge, q = 1.2 C

The change in Potential energy:

→ [tex]U = qV[/tex]

By substituting the values, we get

      [tex]= 1.2\times 10^{8} \ J[/tex]

Thus the above response is right.

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