## Find the magnitude of the electric field at a point midway between two charges +35.5 × 10−9 C and +77.2 × 10−9 C separated by a distance of

Question

Find the magnitude of the electric field at a point midway between two charges +35.5 × 10−9 C and +77.2 × 10−9 C separated by a distance of 46.1 cm. The value of the Coulomb constant is 8.99 × 109 N · m2 /C 2 . Answer in units of N/C.

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3 years 2021-08-20T00:09:47+00:00 1 Answers 8 views 0

1. The electric field at the midway between two charges is 7059.9N/C

Explanation:

Given-

charge, q1 = 35.5 X 10⁻⁹ C

q2 = 77.2 X 10⁻⁹C

distance, r = 46.1cm

midway distance, r = 23.05 cm = 0.2305 m

Coulomb’s constant, k = 8.99 X 10⁹ Nm²/C²

Electric field, E = ?

We know,

*** QuickLaTeX cannot compile formula:
E = \frac{kq}{r^2} \\\\E = \frac{kq_2}{r^2} -  \frac{kq_1}{r^2} \\\\E = \frac{k}{r^2} ( q_2 - q_1)\\\\

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 28: Operation timed out after 40004 milliseconds with 0 out of -1 bytes received
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

*** QuickLaTeX cannot compile formula:
E = \frac{8.99 X 10^9}{(0.2305)^2} (77.2 X 10^-^9 - 35.5 X10^-^9)\\\\E = \frac{8.99}{0.0531} (41.7)\\ \\E = 7059.9N/C

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 52: Empty reply from server
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

Therefore, electric field at the midway between two charges is 7059.9N/C