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Dependence of Resistance on Temperature

Consider a th...

Question

Consider a thin square sheet of side $L$ and thickness $t$ , made of a material of resistivity $ρ$ . The resistance between two opposite faces, shown by the shaded areas in the figure is____

A

directly proportional to L

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B

directly proportional to t

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C

independent of L

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D

independent of t

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Solution

The correct option is D independent of L
As $R = ρ \frac{l}{a}$
Therefore $R = ρ \frac{l}{l \times t} = \frac{ρ}{t}$

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Match the column:

I		II		III
Heat generated		Is used to reduce effective resistance in a circuit		V = IR
Resistances in parallel		Proportional to the square of current
Resistivity		Gives relation between V and I
Ohm’s law		Depends on the material of the conductor

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