Question

find the current density in a wire of diameter 0.2cm in which current of 10 ampere flows.​

Answer 1

Answer:

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Answer 2

Given: A wire is of diameter 0.2 cm. A current of 10 A flows through it.

To find: Current density in the wire

Explanation: Diameter= 0.2 cm

Let the radius of the cross section of the wire be r.

r= Diameter/2

= 0.2/2

= 0.1 cm

= 0.001 m ( 1 cm = 0.01 m)

Area of the cross section having radius 0.001 m:

=$\pi \times {r}^{2}$

=$3.14 \times ({0.0001)}^{2}$

=$3.14 \times 0.000001$

=$3.14 \times {10}^{ - 6} {m}^{2}$

Current flowing= 10 A

Current density is the current that flows through a unit cross sectional area. It is given by the formula:

Current density

= Current flowing/ Area of cross section

=$\frac{10}{3.14 \times {10}^{ - 6} }$

=$3.184 \times {10}^{6}$

Therefore, the current density of the wire is 3.184 × 10^6 A/m^2.