Question

The following diagram shows a ring charge of radius a 4 cm and a linear charge density of λ-6nC/m. (a) Find the total charge on the ring (b) Find the electric field on the y axis at y 10 cnm. Show all your work. Inc-10-9 C, ε,-8.8 5x10-12C2 /Nan2 ar
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Answer #1

Given is:-

The radius of the ring is  a-4cm 0.04171

y-10cm-0.10m

linear charge density  lambda = 6 nC/m

Now,

The circumference of the circular ring will be

C = 2 pi r

by plugging all the values we get

C = 2π(0.04

The total charge on the circular ring will be

Q = C imes lambda

Q 2π(0.04)m × 6 × 10-9C/m

which gives us

Q 1.51 × 10-9C

part-b

Electric field on the axis of a circular ring is given by

KQy

by plugging all the values we get

109)(1.51 10-9)(0.10) (0.10)(0.04)2) (9

which gives us

oxed{E = 1087.76 N/C}

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