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Questions  

An electric current flows along an insulated strip PQ of a metallic conductor. The current density in the strip varies as shown in the graph. Which one of the following statements could explain this variation?

a
The strip is narrower at P than at Q
b
The strip is narrower at Q than at P
c
The potential gradient along the strip is uniform
d
The resistance per unit length of the strip is constant

detailed solution

Correct option is A

The current density at P is higher than at Q.For the same current flowing through the metallic conductor PQ, the cross-sectional area at P is narrower than at Q.The resistance per unit length r is given by r=ρA where ρ is the resistivity and A is the cross-section area of the conductor PQ. Thus, r is inversely proportional to the cross-sectional area A of the conductor.

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