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A circle of radius 'a' has charge densit...

A circle of radius 'a' has charge density given by `lambda= lambda_(0)cos^(2)theta` on its circumference. What will be the total charge on the circle ?

A

`pia lambda_(0)`

B

Zero

C

`2pia`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Total charge on circle `=int_(0)^(2pi)lambda a d theta`
`=int_(0)^(2pi) cos^(2)theta d theta =alambda_(0)pi = pialambda_(0)`
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