Field and Charge
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Started by: Baba001Baba001
On: 1208366381|%e %b %Y, %H:%M %Z|agohover
Number of posts: 4
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Summary:
Gauss law?
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Field and Charge
Baba001Baba001 1208366381|%e %b %Y, %H:%M %Z|agohover

In a region, Electric field is a defined as:

\vec{E} = \frac{x \hat{i} + y \hat{j}}{x^2 + y^2}
Find the total charge enclosed within a sphere of radius 'a' with its centre at the origin.

Also try to generalize it for a sphere of the type (x-h)^2 + (y-k)^2 = a^2

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unfold Field and Charge by Baba001Baba001, 1208366381|%e %b %Y, %H:%M %Z|agohover
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Re: Field and Charge
pardesipardesi 1208366519|%e %b %Y, %H:%M %Z|agohover

use diffrential form of gauss's law
\vec{\nabla.E} = \frac{\rho}{\epsilon_{0}}

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unfold Re: Field and Charge by pardesipardesi, 1208366519|%e %b %Y, %H:%M %Z|agohover
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Re: Field and Charge
profdrraghavprofdrraghav 1208373925|%e %b %Y, %H:%M %Z|agohover

I think i ve posted this problem on aops before da.

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unfold Re: Field and Charge by profdrraghavprofdrraghav, 1208373925|%e %b %Y, %H:%M %Z|agohover
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Re: Field and Charge
Baba001Baba001 1208408933|%e %b %Y, %H:%M %Z|agohover

Dunno. I saw it somewhere, while cleaning my books.

Anybody wanna post the final answer?

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unfold Re: Field and Charge by Baba001Baba001, 1208408933|%e %b %Y, %H:%M %Z|agohover
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