Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in units of kQ²/R?) on the charges given the following: Q1 = 18 Q, Q2 = 25 Q, Q3 = -64 Q, r1 Remember that a positive force points to the right and a negative force points to the left. = 3 R, and r2 = 5 R. Q, Q2 Q3 What is the force on charge Q1 due to Q2? kQ?/R2 F12 = KQ1Q2/r1?, where k is included in the units and the absolute values for all charges should be used. The direction of each force is determined by the two charges, where opposite charges attract and same charges repel. %3D Submit Answer Incorrect. Tries 1/2 Previous Tries What is the force on charge Q1 due to Q3? 18.0 kQ2/R2 Computer's answer now shown above. You are correct. Your receipt no. is 159-5374 2 Previous Tries What is the force on charge Q2 due to Q3? 64.0 kQ?/R2 Computer's answer now shown above. You are Your receipt no. is 159-6218 ? correct. Previous Tries What is the force on charge Q2 due to Q1? kQ?/R² Submit Answer Tries 0/2 What is the force on charge Q3 due to Q1? kQ2/R? Submit Answer Tries 0/2 What is the force on charge Q3 due to Q2? kQ?/R2 Submit Answer Tries 0/2 What is the net force on charge Q1? kQ?/R2 Submit Answer Tries 0/2 What is the net force on charge Q2?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 62P

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Question

Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in units of
kQ²/R2) on the charges given the following: Q1 = 18 Q, Q2
Remember that a positive force points to the right and a negative force points to the left.
= 25 Q, Q3 = -64 Q, r1 = 3 R, and r2 = 5 R.
%3D
%3D
Q1
Q2
Q3
What is the force on charge Q1 due to Q2?
kQ?/R2
F12 = KQ1Q2/r1?,
where k is included in the units and the absolute values for all charges should be used.
The direction of each force is determined by the two charges, where opposite charges attract and same
charges repel.
%3D
Submit Answer
Incorrect. Tries 1/2 Previous Tries
What is the force on charge Q1 due to Q3?
18.0 kQ2/R2
Computer's answer now shown above. You are correct.
Your receipt no. is 159-5374 ?
Previous Tries
What is the force on charge Q2 due to Q3?
64.0 kQ2/R2
Computer's answer now shown above. You are correct.
Your receipt no. is 159-6218 ?
Previous Tries
What is the force on charge Q2 due to Q1?
kQ?/R²
Submit Answer
Tries 0/2
What is the force on charge Q3 due to Q1?
kQ?/R²
Submit Answer
Tries 0/2
What is the force on charge Q3 due to Q2?
kQ²/R²
Submit Answer
Tries 0/2
What is the net force on charge Q1?
kQ?/R2
Submit Answer
Tries 0/2
What is the net force on charge Q2?
ms

Expert Solution

Step 1

"As per the guidelines i solved the first three subpart".

(a)

The net force on charge $Q_{1}$ due to charge $Q_{2}$ is,

$\begin{array}{rcl} F_{12} & = & \frac{k Q_{1} Q_{2}}{{(r_{1} + r_{2})}^{2}} \\ = & \frac{k (18 Q) (25 Q)}{{(3 R + 5 R)}^{2}} \\ = & \frac{450 k Q^{2}}{64 R^{2}} \\ = & 7.03 \frac{k Q^{2}}{R^{2}} \end{array}$

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