Question

if a wire has resistance 200 ohm and the current through it is 0.5 Ampere the potential difference across the wire must be_______

a) 400V b) 200V c)100V d)50V

Answer 1

use V = IR
V = 0.5 x 200 = 100V

Answer 2

Answer:

The potential difference across the wire must be 100 volts i.e.option(c).

Explanation:

We will use the concept of ohm's law to solve this question.

• Ohm's law explains how electric current and potential difference are related. Most conductors' current is directly proportional to the voltage applied to them. i.e.

                                               $\mathrm{V\propto I}$

                                              $\mathrm{V=IR}$        (1)

Where,

V=potential difference across the conductor

I=current flowing through the conductor

R=resistance of the conductor

From the question we have,

The resistance of the wire(R)=200Ω

The current through the wire(I)=0.5 A

We obtain this by entering the numbers in equation (1);

$\mathrm{V=0.5\times 200}$

$\mathrm{V=100\ volts}$

So, the potential difference across the wire must be 100 volts i.e.option(c).

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