Question

A conductor carries a current of 50mA if the area of cross-section of the conductor is 50 mm2 then value of the current density in Am-2 is ​

Answer 1

Answer:-

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• Given:-

Current carried by a conductor = $\bf{50 mA}$

Area of cross section of the conductor =$\bf{50\: mm^2}$

• To Find:-

Value of the current density in Am-²=$\bf{?}$

• Solution:-

We know,

$\boxed{J =\dfrac{I}{A}}$

where,

$\bf{J}$ is current density,

$\bf{I}$ is current , and

$\bf{A}$ is cross sectional area.

here,

${I}$ = $50mA \implies 50 \times 10^{-3}A$

${A}$ = $50 mm^2 \implies 50 \times 10^{-6}m^2$

$J = \dfrac{I}{A}$= $\dfrac{50 \times 10^{-3}A}{50 \times 10^{-6}m^2}$

$J =\dfrac{1 \: A}{1 \times 10^{-3}m^2}$

$\boxed{J = 1 \times 10^3 A/m^2}$

$\therefore$Value of Current density $\implies\bf{1 \times 10^3 A/m^2}$

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