Question

For a particular resistor in a circuit, If the voltage across a resistor is doubled, which of the following is true:

The current will be doubled.

The current will be half

The resistance will be doubled

The resistance will be half

Answer 1

We know the formula: V = IR

ans we also know that without changing temperature we can't change Resistance. So Resistance of resistor would be same.

V_{​​​​1} = I_{​​​​​​1}​R ---(i)

V_{​​​​​​2} = I_{​​​​2}R ---(ii)

V_{​​​​​​2} = 2V₁ {given}

So, (ii)/(i) we get,

2 = I_{​​​​​​2}/I_{​​​​​​1}

=> I_{​​​​​​2} = 2I₁

Hence, On doubling the voltage across the Resistor current would be doubled.

Hence, Option 1 is the correct answer.

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