Question

If the potential due to a point charge is $5.00 \times 10^2 \textrm{ V}$ at a distance of 15.0 m, what are the sign and magnitude of the charge?

Final Answer

$+8.34 \times 10^{-6} \textrm{ C}$

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Video Transcript

This is College Physics Answers with Shaun Dychko.
The potential from a point charge is Coulombs constant times the charge divided by the distance from it. And, we can solve this for

*Q*by multiplying both sides by*R*over*K*. And then, we get the charge, it's*R**V*over*K*. So, that's 15 meters times 500 volts divided by Coulomb's constant, 8.99 times ten to the nine Newton meters squared per Coulomb squared. And, that gives a charge of 8.34 times ten to the minus six Coulombs. This is a positive charge because the potential is positive 500 volts.