A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be

Question

Smart Achievers · Accepted Answer

(3)

$V_{A B} = E$

$∴$ Potential gradient $K = \frac{V_{A B}}{L} = \frac{E}{L}$

$∴$ Potential difference across length $ℓ$ is $V = K ℓ$

Solution

Q.
A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be

1 2 volt

2 3 volt

3 1 volt

4 1.5 volt

Ans.
(3)

$V_{A B} = E$

$∴$ Potential gradient $K = \frac{V_{A B}}{L} = \frac{E}{L}$

$∴$ Potential difference across length $ℓ$ is $V = K ℓ$

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