Lecture07_Kim

Lecture07_Kim - Calculation of V for Continuous Charge...

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Lecture 7-1 Calculation of V for Continuous Charge Distributions Two Ways to Calculate Potential (1) Integrate - E from the reference point ( ) to the point ( P ) of observation:   P V r E dl    (2) Integrate dV (contribution to V(r) from each infinitesimal source charge dq ) over all source charges: A line integral (which could be tricky to do) If E is known and simple and a simple path can be used, it may be reduced to a simple, ordinary 1D integral. q 1 q 2 q 3 q 4 P Q P r P Q / ii kdq V kq r V r
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Lecture 7-2 Potential from continuous charge distribution: ring At point P on axis of ring Sum scalar contributions dV 22 kdq k kQ V dq r r r kQ V xa  
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Lecture 7-3 Potential and Field of a Ring At point P on axis of ring 22 kQ V xa vector x V(x) 2 2 3/2 () 0 x yz Vx E kQ x x a EE     x E x
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Lecture 7-4 Reference Point for Potential of Uniformly Charged Sheet For x > 0, 0 0 00 () (0) 2 ( ) 2 , (0) x V x E dl xV V x k x V V V
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Lecture07_Kim - Calculation of V for Continuous Charge...

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