Question

What is the electric potential energy of the group of charges in

FIGURE EX25.7?

Short answer

The platform's restoring force is$-4.7\times {10}^{-6}$.

Step-by-step solution

Definition

Given information:

Charges are $-4.0nc$,role="math" localid="1649589851700" $3.0nc$,$3.0nc$.

Distance between two charges $-4.0nc$and$3.0nc$is $4.0cm$androle="math" localid="1649589934406" $3.0cm$.

Find:

The objective is to find electric potential energy of the group of charges.

The total amount of energy liberated by a cohesive block charge if it is positioned at any location is through as voltage .

Evaluating Potential Energy

$\begin{array}{r}{q}_1=-4.0\mathrm{nC}\\ q_2=3.0\mathrm{nC}\\ q_3=3.0\mathrm{nC}\\ d_{12}=3.0\mathrm{cm}\\ d_{13}=4.0\mathrm{cm}\end{array}$

This can be used to illustrate the Euclidean theorem.

$d_{23}=\sqrt{d_{12}^2+d_{13}^2}=5\mathrm{cm}$

:  Mechanical  Energy of  pair

The potential maximum electricity is summation of the energy aspirations within each pair..$U=\frac{1}{4\pi {\epsilon }_0}\left(\frac{q_1{q}_2}{d_{12}}+\frac{q_1{q}_3}{d_{13}}+\frac{q_2{q}_3}{d_{23}}\right)$

Get on th data values

localid="1649412765806" $U=-4.7\times {10}^{-6}\mathrm{J}$

Diagramtic Explantion

$-4.7\times {10}^6\mathrm{J}$