Question

When area of the conductor is increased
a. both resistance and resistivity increases.
b. resistance increases andresistivity decreases.
c. resistance decreases and resistivity increases.
d. resistance decreases and resisitivity remains unchanged.

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Answer 1

Answer:-

The correct option is d) Resistance decreases and resistivity remains unchanges.

Explanation:-

• We know that $\bf R\propto\dfrac{1}{A}$ where R is resistance and A is area of cross section of any conductor hence as Resistance is inversly proportional to the Area therefore resistance will decrease when area would increase.

• While on other hand resistivity $\bf(\rho)$ remains unchanged because it is a constants which remains same for same metal at any physical conditions, i.e the resistivity of two metals may vary but resistivity of a single metal always remains same.

More To Know:-

• Resistance of a conductor (R) is directly proportional to the length of the conductor (L).

• Resistance of a conductor is inversely proportional to its area of cross-section (A).

And Hence:-

$\\ \tt\mapsto R\propto L.$

$\\ \tt\mapsto R\propto\dfrac{1}{A}.$

$\\ \tt\mapsto R\propto L\times\dfrac{1}{A}.$

$\\ \tt\mapsto R\propto \dfrac{L}{A}.$

$\\ \tt\mapsto R = \rho\:\:\dfrac{L}{A}.$

Where $\bf\rho$ is a constant i.e. Resistivity.

Answer 2

Answer:

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Explanation:

The resistance of a conductor decreases with increase in cross-sectional area. REASON  :

On increasing the cross-sectional area of a conductor, more current will flow through the conductor.