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Question

If the resistance of a circuit is halved and the potential difference is kept constant, then the current will become


A
4 times
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B
8 times
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C
double
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D
half
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Solution

The correct option is C double
Answer is C.
According to Ohm's law, V = IR. That is, I = V/R.
Now, if the resistance is halved and the voltage remains the same, the new value of current becomes, $$I'=\dfrac { V }{ \dfrac { R }{ 2 }  } =\dfrac { 2V }{ R } .\quad That\quad is,\quad I'=2(\dfrac { V }{ R } )=2I$$.
Hence, the current will become double.

Physics

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