Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 25 - Capacitance - Problems - Page 740: 12a

Answer

$60\mu C$

Work Step by Step

We can find the initial charge of the capacitor as: $q=CV$ We plug in the known values to obtain: $q=6\times 10^{-6}\times 10=60\times 10^{-6}=60\mu C$ As we know that: $C=\frac{A\epsilon_{\circ}}{d}$ The above equation shows that if the separation is halved then the capacitance will be doubled. Thus the final charge of the capacitor is given as: $q=(2C)(V)$ We plug in the known values to obtain: $q=(2\times 6\times 10^{-6})(10)=120\times 10^{-6}=120\mu C$ Now the additional charge transmitted is $120-60=60\mu C$
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