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A charged belt 60 cm wide, travels at 20...

A charged belt 60 cm wide, travels at `20 ms^(-1)` between a source of charge and a sphere. The belt carries charges into the sphere at a rate corresponding to `120 mu A`. Calculate the surface charge density of the belt.

Text Solution

Verified by Experts

Here, width of belt, `w = 60 cm = 0.60 m` ,
Speed of belt, `v = 20 ms^(-1)`
Current `I =` change added per second `= 120 mu A = 120 xx 10^(-6)A`
Area of the belt moved per second, `A = wv`
Charge density, `sigma = I/A = I/w v = (120 xx 10^(-6))/(0.60 xx 20)`
`= 10^(-5) Cm^(-2)`
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