Question

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

Options

• 2 volt

• 3 volt

• 1 volt

• 1.5 volt

Answer 1

A 6-volt battery is connected to the terminals of a three-meter-long wire of uniform thickness and resistance of 100 ohms. The difference of potential between two points on the wire separated by a distance of 50 cm will be 1 volt.

Explanation:

V_AB = E

∴ Potential gradient K = `V_{AB}/L = E/L`

∴ The potential difference across length l is,

V = Kl

= `E/L xx l`

= `6/3 xx 0.5` = 1 volt