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Question

What will happen to the current passing through a conductor if the potential difference is doubled and the resistance is halved?


A

Remains unchanged

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B

Becomes doubled

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C

Becomes halved

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D

Becomes four times

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Solution

The correct option is D

Becomes four times


Step 1: Given data

Initial potential difference =V1

Final potential difference,V2=2V1

Initial resistance =R1

Final resistance, R2=R12

Initial current =I1

Final current, I2=?

Step 2: Formula used

I2=V2R2 ………………………….(a)

I1=V1R1 ………………………….(b)

Step 3: Calculation of the final current

Substituting the given values in equation (a), we get

I2=2V1R12

I2=4V1R1 ………………………(c)

Using equation (b) in equation (c), we get

I2=4×I1

Hence, option (D) is correct.


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