(a) What is the electric field at the origin? N/C j (b) What would be the force

Question

(a) What is the electric field at the origin?

N/C j    

(b) What would be the force on a charge of -4 nC placed at the origin?

N j

(c) If this force is due to a charge on the y axis at y = 3 cm, what is the value of that charge?

nC   

Please give exact number answers to a,b,c

When a test charge q0 = 11 nC is placed at the origin, it experiences a force of 8 times 10-4 N in the positive y direction. What is the electric field at the origin? What would be the force on a charge of -4 nC placed at the origin? If this force is due to a charge on the y axis at y = 3 cm, what is the value of that charge?

Explanation / Answer

a) E = F/q = 8.0E-4/11.0E-9=72727 N/C

b) F = qE = -4.0E-9*72727=2.91E-4 N

c) E = kq/r^2

q = 72727*4.0E-2^2/9E9=1.29E-8 C = 12.9 nC

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