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In the given electric circuit find ...

In the given electric circuit find

(a) current
(b) power output
(c) relation between r and R so that the electric power output (that means power to R) is maximum.
(d) value of maximum power output
(e) plot graph between power and resistance of load
(f) from graph we see that for a given power output there exixts two values of external resistance, prove that the product of these resistances equal to `r^2`.
(g) what is the efficiency of the cell when it is used to supply maximum power.

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