A wire has a current density of 7.25 x 10 6 A/m2. If the cross-sectional area of the wire is 2.03...

Question:

A wire has a current density of 7.25 x {eq}10^ 6 {/eq} {eq}A/m^2 {/eq}. If the cross-sectional area of the wire is 2.03 {eq}mm ^2 {/eq}, what current, I, does the wire carry?

Current Flow:


The density of current means the amount of current flowing through a considered area of cross-section. The current on the other hand can be envisaged in terms of electron flow known as electronic current or in terms of energy known as conventional current.

Answer and Explanation:


The required formula can be derived using the relation between the current density and the current. The current density is current flowing per unit cross-section of the conductor considered.

Mathematically,

{eq}I = J\;A\\ I = (7.25\times 10^6\;\rm A/m^2)(2.03\times 10^{-6}\;\rm m^2)\\ \boxed{I = 14.72 \;\rm A} {/eq}


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Electric Current Lesson for Kids

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Chapter 6 / Lesson 28
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