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the potential difference between a storm cloud and the ground is 1.06 × 10⁸v. if a bolt carrying 4 c falls from a cloud to earth, what is the magnitude of the change of potential energy of the charge?

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Final answer:

The magnitude of the potential energy change of a charge falling from a storm cloud to the Earth, with a charge of 4 C and a potential difference of 1.06 × 10⁸ V, is 4.24 × 10⁸ joules.

Step-by-step explanation:

The magnitude of the change of potential energy of a charge can be found using the formula ΔPE = qΔV, where q is the charge and ΔV is the potential difference. In the case of a lightning bolt carrying a charge of 4 C across a potential difference of 1.06 × 10⁸ V, the change in potential energy is calculated as follows:

ΔPE = qΔV

ΔPE = (4 C)(1.06 × 10⁸ V)

ΔPE = 4.24 × 10⁸ J

Therefore, the magnitude of the change of potential energy of the charge is 4.24 × 10⁸ joules.

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