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Physics / Physics with MasteringPhysics 4 / Chapter 19 / Problem 84GP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A small object of mass 0.0150 kg and charge 3.1 ?Changs

Chapter 19, Problem 84GP

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QUESTION:

Problem 84GP

A small object of mass 0.0150 kg and charge 3.1 μChangs from the ceiling by a thread. A second small object, with a charge of 4.2 μC, is placed 1.2 m vertically below the first charge. Find (a) the electric field at the position of the upper charge due to the lower charge and (b) the tension in the thread.

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QUESTION:

Problem 84GP

A small object of mass 0.0150 kg and charge 3.1 μChangs from the ceiling by a thread. A second small object, with a charge of 4.2 μC, is placed 1.2 m vertically below the first charge. Find (a) the electric field at the position of the upper charge due to the lower charge and (b) the tension in the thread.

ANSWER:

Solution 84GP

Step 1 of 3

Here we need to calculate the electric field on the charge ${q}_{1}$ due to charge ${q}_{2}$ and the tension in the thread.

Given problem can be pictorially represented as shown in the figure below,

Given data,

Mass of charge 1, $m=0.015\ kg$

Charge 1, ${q}_{1}=3.1\mu{}C=3.1\times{}1{0}^{-6}C$

Charge 2, ${q}_{2}=4.2\mu{}C=4.2\times{}1{0}^{-6}C$

Distance between charges, $r=1.2\ m$

To find,

Electric field on charge 1 due to charge 2, ${E}_{12}=?$
Tension in the thread, $T=?$

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