Two 10-cm-diameter charged rings face each other, 19 cm apart. The left ring is

ID: 251186 • Letter: T

Question

Two 10-cm-diameter charged rings face each other, 19 cm apart. The left ring is charged to -21nC and the right ring is charged to +21 nC .

1. What is the magnitude of the electric field E at the midpoint between the two rings?

Express your answer to two significant figures and include the appropriate units.

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2. What is the magnitude of the force F on a -1.0 nC charge placed at the midpoint?

Express your answer to two significant figures and include the appropriate units.

Thank you!

the electric field of a charged ring at Z on its axis is

E=k Q z/(r^2+z^2)^3/2

=9 x10^9*21*10^-9*(0.095)/(0.1^2+0.095^2)^3/2

= 6842 N/C

the total E is

1.368 x10^4 N/C

I F I = qE = 1*10^-9 *1.368x10^4

=1.368 x10^-5 N

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