# Simple circuit

Consider the above circuit formed using a battery of emf $$E$$ and a wire with uniform resistance $$R$$. The wire is bent in the shape of a circular loop.

A small charge $$q$$ is carried in clockwise direction in this loop with constant angular velocity $$\omega$$. Let $$W$$ be the average work done by us to carry the charge from point A to B in each cycle.

What is the value of $$W$$?

Details and Assumptions:

• The electric field of $$q$$ has no effect on already existing current.

• No chemical work is done by the battery on charge $$q$$.

• Resistance of wire is present against this moving charge.

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