In the figure below, a nonconducting rod of length L = 7.00 cm has charge - q =

Question

In the figure below, a nonconducting rod of length L = 7.00 cm has charge -q = -4.64 fC uniformly distributed along its length.

(a) What is the linear charge density of the rod? ..... C/m?

(b) What is the magnitude of the electric field at point P, a distance a = 12.0 cm from the end of the rod? ..... N/C?

(c) What is its direction? .....

In the figure below, a nonconducting rod of length L = 7.00 cm has charge -q = -4.64 fC uniformly distributed along its length. What is the linear charge density of the rod? ..... C/m? What is the magnitude of the electric field at point P, a distance a = 12.0 cm from the end of the rod? ..... N/C? What is its direction? ..... degree (counterclockwise from the positive x axis)? What is the electric field magnitude produced at distance a = 50 m by the rod? ..... N/C? Repeat part (d) for a particle of charge -q = -4.64 fC that replaces the rod. .....N/C?

Explanation / Answer

a)charge density=-4.64*10^-15/0.07=6.63*10^-14C/m

b)E=integral(kqdx/L(a+L-x)^2)=kq/(a^2+aL)=1.83*10^-3N/C

c)180 degrees

d)Using formula same as in b),

E=1.668*10^-8N/C

e)E=kq/a^2=1.670*10^-8N/C

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