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A point charge has a charge of $2.50 \times 10^{-11} \mathrm{C}$. At what distance from the point charge is the electric potential (a) $90.0 \mathrm{~V} ?$ (b) $30.0 \mathrm{~V}$ ? Take the potential to be zero at an infinite distance from the charge.

a) $2.497 \times 10^{-3} \mathrm{m}$b) $7.49 \times 10^{-3} \mathrm{m}$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 18

Electric Potential and Capacitanc

Kinetic Energy

Potential Energy

Energy Conservation

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

University of Washington

Hope College

McMaster University

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So this problem tells us that we have a point charge with Q when there was such that Q is equal to 2.5 times 10 to the minus 11 cool ums. And we're trying to evaluate how far, um, from this charge is the potential, these particular values and so for a B is unequal toe 90 volts. And so we want to use the formula for the potential of a point charge. Assuming that infinity be zero since he is cake uber are therefore are is equal thio um kay Q over the and yeah, so plugging in all of these numbers into a calculator. Um so when I put that into a calculator for 90 volts, I got the distance waas 0.25 meters and then be asks about when the voltage is 90 is 30 bolts and using the same thing. I'm except for a different V. I obtained that are, was his equal 2.75 So you gained potential by moving closer to this charge

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