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Chapter 25: Q. 7 (page 709)

What is the electric potential energy of the group of charges in
FIGURE EX25.7?

Short Answer

Expert verified

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

Step by step solution

01

Definition

Given information:

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

Distance between two charges $- 4.0 n c$ and $3.0 n c$ is $4.0 c m$ androle="math" localid="1649589934406" $3.0 c m$ .

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 .

02

Evaluating Potential Energy

$\begin{aligned} q_{1} = 鈭� 4.0 nC \\ q_{2} = 3.0 nC \\ q_{3} = 3.0 nC \\ d_{12} = 3.0 cm \\ d_{13} = 4.0 cm \end{aligned}$

This can be used to illustrate the Euclidean theorem.

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

03

: Mechanical Energy of pair

The potential maximum electricity is summation of the energy aspirations within each pair.. $U = \frac{1}{4 蟺蔚_{0}} (\frac{q_{1} q_{2}}{d_{12}} + \frac{q_{1} q_{3}}{d_{13}} + \frac{q_{2} q_{3}}{d_{23}})$

Get on th data values

localid="1649412765806" $U = - 4.7 脳 10^{- 6} J$

04

Diagramtic Explantion

$- 4.7 脳 10^{6} J$

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Most popular questions from this chapter

An arrangement of source charges produces the electric potential V = 5000x2 along the x-axis, where V is in volts and x is in meters. What is the maximum speed of a 1.0 g, 10 nC charged particle that moves in this potential with turning points at 8.0 cm?

A -3.0 nC charge is on the x-axis at x = -9 cm and a +4.0 nC

charge is on the x-axis at x = 16 cm. At what point or points on

the y-axis is the electric potential zero?

$(a)$ Charge $q_{1}$ is distance $r$ from a positive point charge $Q$ . Charge $q_{2} = \frac{q_{1}}{3}$ is distance $2 r$ from $Q$ . What is the ratio $\frac{U_{1}}{U_{2}}$ of their potential energies due to their interactions with $Q$ ?
$(b)$ Charge $q_{1}$ is distance $s$ from the negative plate of a parallel-plate capacitor. Charge $q_{2} = \frac{q_{1}}{3}$ is distance $2 s$ from the negative plate. What is the ratio $\frac{U_{1}}{U_{2}}$ of their potential energies?

What is the electric potential energy of the group of charges in FIGURE EX25.6?

The wire in FIGURE P25.73 has linear charge density $位$ . What is the electric potential at the center of the semicircle?

See all solutions

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