Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 16, Problem 32P
To determine

To find: The magnitude of charge on each point charge.

Expert Solution & Answer
Check Mark

Answer to Problem 32P

  2.65×1010C

Explanation of Solution

Given:

  E=745N/Cr=16cm

Formula used:

The net electric field at the mid-point between the two charges is shown in the following figure:

  Physics: Principles with Applications, Chapter 16, Problem 32P

In the figure, E1 is the electric field due to positive charge, E2 is the electric field due to negative charge, q is the magnitude of the charge, and 8cm is the distance between charge and the center.

The magnitude of electric fields at center due to positive charge and negative charge are as follows:

  E1=kqr2E2=kqr2

The net electric field due to two charges is as follows:

  Enct=E1+E2

The given electric field at center is E.

Rewrite the above equation as follows:

  E=E1+E2

Substitute kqr2 for E1 and kqr2 for E2 in the equation and solve for q

  E=kqr2+kqr2E=2kqr2q=Er22k

Calculation:

Calculate the magnitude of the charge as follows:

Substitute 9×109Nm/C2 for k,745N/C for E, and 8cm for r in the equation q=Er22k and solve for q .

  q=(745N/C)(8cm)22(9×109Nm/C2)=(745N/C)(8cm(102m1cm))22(9×109Nm/C2)=2.65×1010C

Conclusion:

Therefore, the magnitude of charge on each is 2.65×1010C .

Chapter 16 Solutions

Physics: Principles with Applications

Ch. 16 - Prob. 11QCh. 16 - Prob. 12QCh. 16 - Prob. 13QCh. 16 - Prob. 14QCh. 16 - Prob. 15QCh. 16 - Prob. 16QCh. 16 - Prob. 17QCh. 16 - Assume that the two opposite charges in Fig....Ch. 16 - Consider the electric field at the three points...Ch. 16 - Why can electric field lines never cross?Ch. 16 - Show, using the three rules for field lines given...Ch. 16 - Given two point charges, Q and 2Q, a distance l...Ch. 16 - Consider a small positive test charge located on...Ch. 16 - A point charge is surrounded by a spherical...Ch. 16 - Prob. 1PCh. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - Prob. 31PCh. 16 - Prob. 32PCh. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Prob. 38PCh. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 47PCh. 16 - Prob. 48PCh. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - Prob. 52GPCh. 16 - Prob. 53GPCh. 16 - Prob. 54GPCh. 16 - Prob. 55GPCh. 16 - Prob. 56GPCh. 16 - Prob. 57GPCh. 16 - Prob. 58GPCh. 16 - Prob. 59GPCh. 16 - Prob. 60GPCh. 16 - Prob. 61GPCh. 16 - Prob. 62GPCh. 16 - Prob. 63GPCh. 16 - Prob. 64GPCh. 16 - Prob. 65GPCh. 16 - Prob. 66GPCh. 16 - Prob. 67GPCh. 16 - Prob. 68GPCh. 16 - Prob. 69GPCh. 16 - Prob. 70GPCh. 16 - Prob. 71GPCh. 16 - Prob. 72GPCh. 16 - Prob. 73GP
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