Two 10-cm-diameter charged rings face each other, 27 cm apart. The left ring is

Question

Two 10-cm-diameter charged rings face each other, 27 cm apart. The left ring is charged to -26 nC and the right ring is charged to +26 nC .

Part A

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.

Part B

What is the direction of the electric field E  at the midpoint between the two rings?

What is the direction of the electric field  at the midpoint between the two rings?

To the left ring?

To the right ring?

Part C

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.

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

What is the direction of the force  on a -1.0  charge placed at the midpoint?

To the left ring?

To the right ring?

Part C

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.

Explanation / Answer

E = kq/(x^2+R^2)^3/2

here field direction by both ring towards left ring

E = Eleft + Eright

both have same magnitue

E = 2Eleft

Eleft

R = 5 cm = 0.05

x = 27/2 = 13.5 cm = 0.135 m

q = 26 * 10^-9 C

Eleft = 78428.5 N/C

E = 2*Eleft

E = 156857.05 N/C

part b )

toward left ring

part c )

F = qE

F = -1.5686 x 10^-4 N

to the right ring

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