3 Electric Fields of Extended Distributions (13 Points) . A thin line charge has

Question

3 Electric Fields of Extended Distributions (13 Points) . A thin line charge has a charge density per unit length ? of 2.0 ?C/m what is the electric field strength a distance 1.0 meters from the line? b. A -10 AC charge is 1.0 meters, from the line large mentioned in part a. What is the electrostatic force on this charge? c. A large flat insulating membrane has a uniform charge ? of +25 fc/m2, what is the elelectric field strength above the charged surface? 2 8.854 . A +2.0 C is in proximity to the charged surface mentioned in part c. What is the electrostatic force on the charge? Is the force directed away from the surface or toward it? with a charge density of +25 C/m the test charge ment Suppose instead of a free charged membrane the charged surface was metallic, again What would happen to the magnitude of the force on ioned in part (d)?

Explanation / Answer

here,

1)

a)

lamda = 2 * 10^-6 C/m

r = 1 m

the electric feild due to a thin line charge , E = lamda /(2*pi*e0 * r)

E = 2 * 10^-6 /( 2 * pi * 8.85 * 10^-12 * 1) N/C

E = 1.44 * 10^5 N/C

b)

q = - 1 * 10^-6 C

the electrostatic force , F = q * E

F = 0.14 N

c)

sigma = 25 * 10^-6 C/m^2

the electric feild strength , E = sigma/(2e0)

E = 25 * 10^-6 /( 2 *8.85 * 10^-12) N/C

E = 1.4 * 10^6 N/C

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