Explanation The voltage at a point is defined as the amount of work done in bringing a unit positive charge from infinity to that point. The expression for voltage is, V = W q (1) Here, V is the voltage applied across the circuit W is the work done q is a unit positive charge The expression for electric current is, I = q t (2) Here, t is the time taken by the electrons Electric power is defined as the work done per unit time or energy per unit time. The SI unit of power is joules per second which is same as watt. The expression for electric power in terms of work done is, P = W t (3) Substitute W q for V and q t for I from the above equations (1) and (2) and their product is, V I = ( W q ) ( q t ) = W t Substitute P for W t from equation (3)

14th Edition

ISBN: 9781305079120

Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher: Brooks Cole

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Chapter 8, Problem 16E

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Show that the equation P=V2R .

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An Introduction to Physical Science

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