Current Density Formula Examples
Example 1: What is the current density in a wire with a cross-section area of 23 mm2 and a current of 8 mA running through it?
Solution:
Given,
A = 23 mm2
= 0.000023 m2,I = 8 mA = 0.008 A
Since,
J = I/A
= 0.008 / 0.000023
= 347.82 A/m2
Example 2: A copper wire with a diameter of 3 mm2 has a current of 9 mA flowing through it. Find the current density of the conductor.
Solution:
Given,
A = 3 mm2
= 0.000003 m2,I = 9 mA
= 0.009 ASince,
J = I/A
= 0.009 / 0.000003
= 3000 A/m2
Example 3: If 42 A of current flows through the battery in an 8 m2 region, what is the current density of the conductor?
Solution:
Given,
A = 8 m2,
I = 42 A
Since,
J = I/A
= 42 / 8
= 5.25 A/m2
Example 4: If the current density is 4 A/m2 and the current through the conductor is 24 A. Find the cross-sectional area.
Solution:
Given,
J = 4 A/m2
I = 24 A
Since,
J = I/A
A = I/J
= 24/4
= 6 m2
Current Density
Current Density is defined as the amount of current flowing through the per unit area of the wire. It is measured in ampere/m2. Before learning more about current density we have to learn about current.
Current is defined as the flow of the electron in a wire under a voltage difference. Current is the most common type of energy used in our daily life it provides electrical energy which is responsible for the working of all the electrical appliances which we used in our daily life.
In this article, we will learn about current density, its formula, derivation with brief introduction of electric current.
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