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A student carries out an experiment and plots the $V - I$ graph of three samples of nichrome wire with resistances of $R_{1}$ , $R_{2}$ and $R_{3}$ respectively. Which of the following is correct?

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R_{1} = R_{2} = R_{3}

R_{1} > R_{2} > R_{3}

R_{3} > R_{2} > R_{1}

R_{2} > R_{3} > R_{1}

answer is C.

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Detailed Solution

The slope for

R_{1}

is the highest, and the slope for

R 3

is the lowest.

R_{2}

slope is higher than

R_{3}

slope.
Ohm’s law of resistance can be formulated as follows:

R = \frac{V}{I}

(at constant temperature)
Where

R

is the resistance in Ohm,

V

is the potential difference in volt, and

I

is the current in ampere. So by the formula, we can say that

The Slope of the I - V graph = Resistance of the wire

Resistance has an inverse relationship with current flow. The current will flow less when the resistance is highest.
So,

R_{3} > R_{2} > R_{1}

is the correct relation.

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