Answer to Question #310312 in Electricity and Magnetism for Vyvy

Question #310312

Three point charges 10 C, -20 C, and -50 C are at the three consecutive corners of a square 10 cm on a side. What is the potential energy of the system?


1
Expert's answer
2022-03-14T13:06:56-0400

Potential energy

U1=kq1q2rU_1=\frac{kq_1q_2}{r}

U1=k×10×(20)0.12U_1=\frac{k\times10\times(-20)}{0.1^2}

U1=1.8×1014JU_1=-{1.8\times10^{14}}J

U2=kq2q3r2U_2=\frac{kq_2q_3}{r^2}

U2=k×20×500.12=9×1014JU_2=\frac{k\times20\times50}{0.1^2}=9\times10^{14}J

U=U12+U22U=\sqrt{U_1^2+U_2^2}


U=(1.8×1014)2+(9×1014)2=9.18×1014JU=\sqrt{(-1.8\times10^{14})^2+(9\times10^{14})^2}=9.18\times10^{14}J


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