Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 17 - Electric Potential - Problems - Page 496: 15

Answer

3000 V

Work Step by Step

Assume that the finger and doorknob are large enough compared to the spacing that the electric field is approximately uniform. Use equation 17–4b to find the separation. $$|E|=\frac{\Delta V}{\Delta x}$$ $$\Delta V=|E|\Delta x=(3\times10^6V/m)(0.001m) $$ $$= 3\times10^{3}V$$ No harm is done because very little charge is involved, and therefore, a miniscule amount of energy is released.
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