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Q.

In an electric circuit comprising a resistor made of a metallic wire with ammeter reading $5 A$ is connected in series. When the length of the wire is doubled, the reading in ammeter

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a

Doubled

b

Zero

c

Decreases to half

d

Remains the same

answer is C.

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Detailed Solution

In an electric circuit comprising a resistor made of a metallic wire with an ammeter reading,

5 A

is connected in series. When the length of the wire is doubled, the reading in the ammeter decreases to half.
We know the resistance of a metallic wire is directly proportional to the length and inversely proportional to the area of the cross-section.

R α \frac{l}{A}

. Therefore, the resistance is also doubled when the length is doubled.
Using Ohm’s law

I = \frac{V}{R}

, we could see that resistance and the current are inversely proportional. Hence the resistance is doubled; the ammeter reading is reduced to half.

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