2> A point charge 9.7 ìC is located at the centerof a uniform ring having linear

Question

2> A point charge 9.7 ìC is located at the centerof a uniform ring having linear charge density 13 ìC/m and radius 2.22 m.

a/ Calculate the magnitude of the electric field at the center of the sphere. Answer in units of N/C.

b/ Calculate the magnitude of the electric field 5.25 cm from the center of the sphere.Answer in units of N/C.

c/ Calculate the magnitude of the electric field 21 cm from the center of the sphere. Answer in units of N/C.

d/ Calculate the magnitude of the electric field 21 cm from the center of the sphere. Answer in units of N/C.

Explanation / Answer

Given that

The point charge(q) =9.7uC

The linear charge desnity =13uC/m

The radius of the ring (r) =2.22m

According to Gauss law, the net electric flux through the closed surface is (1/eo) times the charge enclosed

FiE =q/eo =9.7*10-6C/8.85*10-12C2/N.m2=1.096*106N.m2/C

a)

The electric field inside a charged sphere is always zero

b)

For r =5.25cm =0.0525m

If r<<R then

E =kqr/R3 =9*109*9.7*10-6(0.0525)/(2.22)3 =418.899N/C

c)

similalrl;y for 21cm =0.21m

Then E ==kqr/R3 =9*109*9.7*10-6(0.21)/(2.22)3 =1675.61N/C

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