A current of $ 2 \mathrm{~A} $ is established in a circuit containing an aluminium resistor of length $ 30 \mathrm{~cm} . $ If the area of cross-section of the resistor is $ 0.003 \mathrm{~cm}^{2} $ at a point P. The current density at that point will be:

Question

A current of $ 2 \mathrm{~A} $ is established in a circuit containing an aluminium resistor of length $ 30 \mathrm{~cm} . $ If the area of cross-section of the resistor is $ 0.003 \mathrm{~cm}^{2} $ at a point P. The current density at that point will be:, $ 6.67 \times 10^{6} \mathrm{~A} \mathrm{~m}^{2} $, $ 6.67 \times 10^{6} \mathrm{~A} \mathrm{~m}^{-2} $, $ 6.67 \times 10^{7} \mathrm{~A} \mathrm{~m}^{-2} $, $ 6.67 \times 10^{7} \mathrm{Am}^{2} $

MARKS App · Accepted Answer

Current density at any point in a conductor is defined by current per unit area of cross section at that point. J = I A Given I = 2 A and area A = 0 . 003 cm 2 J = 2 3 × 10 - 7 = 6 . 67 × 10 6 A m - 2

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