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Quiz.1soln - Leave answer in integral form E r = 1 4 o...

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Physics 411 Quiz Name __________________ cover p _ 1 .................... Quiz 1 ______ 1. ________ (20 points) Quiz 2 ______ 2. ________ (20 points) Quiz 3 ______ 3. ________ (20 points) Quiz 4 ______ 4. ________ (20 points) Quiz 5 ______ 5. ________ (20 points) total . ________ ( / 100 points) __________________________________________________________________________________ Quiz 1 January 29, 2009 1. A charge distribution is given by ( r )=[ Q / a 3 ] z ( r a ) . Write down the integral expression for the electric field, E ( r ) in S.I. units which is valid at any point in space.
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Unformatted text preview: Leave answer in integral form. E ( r ) = 1 4 o ∫∫∫ V r ′ r − r ′ 3 ( r − r ′ ) d 3 x ′ . E ( r ) = 1 4 o ∫∫∫ V [ Q / a 3 ] z ′ ( r ′ − a ) r − r ′ 3 ( r − r ′ ) d 3 x ′ . 2. For the E ( r ) you find in question 1, what is ∇ E ( r ) ? ∇ E ( r ) =[ Q / a 3 o ] z ( r − a ) 3. What are the units of E ( r ) ? V / m = volts / m or N / C = Newtons / Coulomb...
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