In the given circuit, when battery supplies 9 V the resistance of the given resistor is R. What will be the resistance of the given resistor (R') when voltage supplied by the battery is 18 V?

R^{'} = R

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R^{'} = \frac{R}{2}

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R^{'} = 2 R

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R^{'} = 0

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Solution

The correct option is A $R^{'} = R$
Resistance of a given resistor only changes when the dimension of the resistor or temperature around it is changed.
Since dimension and temperature remains same, resistance would remain same.
The change in strength of the battery will affect the magnitude of current in the circuit in such a way that the ratio of voltage supplied and current always equals the resistance value (R).
Resistance generally increases with increase in temperature.

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