Answered: Three charges are arranged as shown,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Concept explainers

Question

Three charges are arranged as shown, where d = 16 cm and h = 10 cm. The charges are
q1 = -4.0 uC, q2 = +8.0 uC, and q3 = +2.0 uC. What is the net electric force (magnitude and
direction) acting on q1?
what is the direction as an angle measured relative to the +r axis, which points to the right

Expert Solution

Step 1

To calculate the net electric force on the charge $q_{1}$ and the direction of the net force.

Given:
The charge of $q_{1}$ : $q_{1} = - 4.0 μC = - 4.0 \times 10^{- 6} C$
The charge of $q_{2}$ : $q_{2} = + 8.0 μC = + 8.0 \times 10^{- 6} C$
The charge of $q_{3}$ : $q_{3} = + 2.0 μC = + 2.0 \times 10^{- 6} C$
Distance $d$ : $d = 16 cm = 16 \times 10^{- 2} m$
Distance $h$ : $h = 10 cm = 10 \times 10^{- 2} m$

To calculate:
The magnitude of the net force on $q_{2}$ : $F_{n e t}$
The angle of the net force acting on $q_{2}$ : $θ$

According to Coulomb Law, the force between two charged particles is given by:
$F = \frac{k q_{A} q_{B}}{r^{2}}$
where,
$q_{A}$ and $q_{B}$ are the two charges,
$r$ is the distance between the two charges and
$k$ is the Coulomb constant. The value of the Coulomb constant is: $k = 9 \times 10^{9} {N.m}^{2} {/C}^{2}$

A negative force indicates that the force is attractive in nature.
A positive force indicates that the force is repulsive in nature.

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions