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Math Help - Integration/Electric Flux

  1. #1
    Senior Member topher0805's Avatar
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    Integration/Electric Flux

    I've got a quiz tomorrow on Electric Flux and I'm having a really hard time understanding it. My Prof gave us 4 sample questions to study in preparation for the quiz. If someone could walk me through this first one I'd be extremely grateful.

    An uncharged, non-conducting sphere of radius 10cm is placed at the origin. A charge of 2nC is placed at the point r_{1} = \hat{i} + 2\hat{j} + \hat{k} cm. What is the electric flux through the sphere's surface, assuming this is the only charge in the universe?

    The answer is \frac{2 * 10^{-9}}{\epsilon_0} .
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  2. #2
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    Quote Originally Posted by topher0805 View Post
    I've got a quiz tomorrow on Electric Flux and I'm having a really hard time understanding it. My Prof gave us 4 sample questions to study in preparation for the quiz. If someone could walk me through this first one I'd be extremely grateful.

    An uncharged, non-conducting sphere of radius 10cm is placed at the origin. A charge of 2nC is placed at the point r_{1} = \hat{i} + 2\hat{j} + \hat{k} cm. What is the electric flux through the sphere's surface, assuming this is the only charge in the universe?

    The answer is \frac{2 * 10^{-9}}{\epsilon_0} .
    1. The charge lies inside the sphere (how do you know that ....?)

    2. So Gauss's Law tells you that the electric flux through the closed surface is \bigcirc \hspace{-1.4em} \int \hspace{-.8em} \int_S  E \cdot dS = \frac{q}{\epsilon_0}.

    3. Note that 2 nC = 2 \times 10^{-9} C.
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