Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 20 - Electric Circuits - Check Your Understanding - Page 552: 11

Answer

d) When peak value of voltage is doubled and resistance is reduced by a factor of two , Average power will be maximum

Work Step by Step

Average power is given as $ \bar P = V_{rms} I_{rms} = \frac{V_{rms}^2}{R}$ But $V_{rms} = \frac{V_0 }{\sqrt 2}$ $ \therefore \bar P = \frac{V_0^2}{2R} $ Thus when peak value of voltage is doubled ($ 2V_0$) and resistance is reduced by a factor of two ($ \frac{1}{2} R$), Average power will be maximum($ \bar P = \frac{4 V_0}{R}$).
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