A charge of 9 nC is uniformly distributed around a ring of radius 10 cm that has

Question

A charge of 9 nC is uniformly distributed around a ring of radius 10 cm that has its center at the origin and its axis along the x axis. A point charge of 1 nC is located at x = 2.75 m. Find the work required to move the point charge to the origin. Give your answer in both joules and electron volts. You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

apply energy conservation

assumption we are moving charge slowly - slowly it means no KE change = 0 in this path.

W = change in KE

= Uf - Ue

= q( Uat center by ring - Uat x=2.75 cm )

= 1*10^-9 { KQ/( sqrt(x^2+R^2) - KQ/ R}

= 1*10^-9 [ 9*10^9 *9*10^-9 / sqrt(2.75^2 +0.10^2 ) - 9*10^9*9*10^-9 / 0.10]

= 7.8*10^-7 J for first one

or

7.8*10^-7 / 1.6*10^-19 = 4.875*10^12 eV for scnd one

no K = 9*10^9 Q = 9*10^-9 C R = 0.10 X= 2.75 m

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