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# HW06Sol - Jim Guinns PHYS2212 Assignment#6 An infinite...

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Jim Guinn’s PHYS2212 Assignment #6 1. An infinite plane of surface charge density σ = 2.5 μ C/m 2 is in the y-z plane. a) What is the magnitude of the electric field in N/C? In V/m? What is the direction of for positive values of x? E x = σ / 2 ε o = 1.41x10 5 N/C = 1.41x10 5 V/m. The field points in the positive x- direction for positive values of x. b) What is the potential difference V b – V a when point “b” is at x = 20cm and point “a” is at x = 50cm? V b – V a = - · = - E (b – a) = 4.24x10 4 V , that is, the potential is greater nearer the plane. c) How much work is required by an outside agent to move a test charge q o = 1.5nC from point “a” to point “b”? Assuming no change in kinetic energy for the test charge, W = U = q V = 6.36x10 -5 J. 2. Two parallel conducting plates carry equal and opposite surface charge densities such that the electric field between them is uniform. The difference in potential between them is 500V, and they are separated by 10 cm. An electron is released from rest at the negative plate.

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