a) I have a rod 2 meters long. This rod has a uniform linear charge density of ?

Question

a) I have a rod 2 meters long. This rod has a uniform linear charge density of ? = 0.5 (C/m). What is the total charge on the rod?

b) I have a sphere 3 meters in diameter. The sphere has a uniform surface charge density of ? = 1 (C/m2). What is the total charge on the sphere?

c) I have a sphere 2 meters in diameter. The sphere has a uniform charge density of ? = 2 (C/m3). What is the total charge of the sphere?

d) I am 1 kilometer away from the sphere in part (c). What is the electric field due to the sphere at this distance?

e) I am 1 kilometer away from the sphere in part (c). I have a surface charge density of ? = 0.1 (C/m2). Estimate the force I feel from the sphere? Am I aware of it?

Explanation / Answer

a) charge q=(2)*(0.5)=1 C

b)charge q=(chrge density)*(area) = 1*4*pi*(1.5^2) = 28.2743 C

c)charge q=(chrge density)*(area) = 2*4*pi*(1^2) = 25.132C

d)E=K(Q/r^2) = 9x109x25.132/(1000^2)
=226.188x10^3 N/C

e)Force F=EQ = 226.188x10^3*0.1 = 226188 N/m^2

As the force is high you feel it

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