HW07Sol - Jim Guinns PHYS2212 Assignment#7 Solutions 1 A...

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Jim Guinn’s PHYS2212 Assignment #7 Solutions 1. A uniform electric field is in the negative x-direction. Points “a” and “b” are on the x axis, “a” is at x = 2m and “b” is at x + 6m . a) Is the potential difference v b – V a positive or negative? Noting that points in the direction of decreasing V, it is clear that V is larger the larger the value of x. Hence, V b – V a is positive. b) If the magnitude of V b – V a is 10 5 V, what is the magnitude, E, of the electric field? E = V / x = 2.5x10 4 V/m . 2. An electric field is given by = ax , where E is in N/C, x is in meters, and “a” is a positive constant. a) What are the SI units of “a”? The units are V / m 2 = N / Cm = kg / Cs 2 . b) How much work is done by this field on a positive point charge q o when the charge moves from the origin to some point x? A force = q o acts on the charge, so dW = · d = q o E dx = q o ax dx . Integrating, W = = q o a x 2 / 2 . c)

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HW07Sol - Jim Guinns PHYS2212 Assignment#7 Solutions 1 A...

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