Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 20 - Electric Potential and Electric Potential Energy - Problems and Conceptual Exercises - Page 723: 105

Answer

1.2 X $10^{-9}$ C = q r - 0.07 m

Work Step by Step

The electric field and potential are related as V = Er. Given : V = 155 V E = 2240 N/C. So 155 = 2240 r r = 0.07 m. Electric potential due to a point charge is given by V = k$\dfrac{q}{r}$, where r = distance from point charge= 0.07 m, k = 9.0 X $10^{9} Nm^{2} / C^{2}$, and q = charge. So 155 = 9.0 X $10^{9} \frac{q}{0.07}$ 1.2 X $10^{-9}$ C = q.
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