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Question

(a) Draw a V-I graph for a conductor obeying Ohm's law.

(b) What does the slope of V-I graph for a conductor represent?

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Solution

(a) Ohm's Law
It states that the amount of current (I) flowing through a material (say a wire) is directly proportional to the voltage (V) applied across its ends. Mathematically, it is given as
V ∝ I
or
V = IR
here R is a constant of proportionality also known as the resistance. So, the resistance of a material following the Ohm's Law will always stay constant for all values of external voltage applied.
Now, using this principle, we can distinguish materials as either being Ohmic or Non-Ohmic in nature. Such that,
Ohmic materials follow the Ohms' law as the resistance remains unaffected even if we change the applied voltage (which alters the amount of current flowing).
The V-I graph, in this case, shows a linear trend, as follows

A few examples include Nickel, Copper etc.

(b) the slope of the V-I graph represents the resistance of the material


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