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(a) Define the unit of resistance (or Define the unit ohm").(b) What happens to the resistance as the conductor is made thinner?(c) Keeping the potential difference constant
(a)
The resistance of a wire is 1 ohm means:
When 1 volt potential difference is applied across the wire, a current of 1 ampere will flow in the wire.
(b)
We know resistance $R \propto \frac{1}{A}$.
If the conductor is made thinner, Area A will decrease. So the resistance will increase.
(c)
Mathematically, $I = \frac{V}{R}$.
If potential difference, V is kept constant
$I \propto \frac{1}{R}$.
So if Resistance R is doubled, the current becomes half.
Updated on: 10-Oct-2022
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