A circular loop of wire 50 mm in radius carries a current of 100 A. What is the energy density at the center of the loop?
When a current goes in circular loop a magentic field is generated through the axis of the loop. The values of magentic flux or energy density can be found by using the Biot-Savart Law.
The magnetic flux at the centre is give by,
`B = (mu_oI)/(2R)`
Where `mu_o = 4pi xx 10^(-7) T/(mA)`
I is the current in A and R is the radius of the loop.
`B= (4pi xx 10^(-7) T/(mA)xx 100 A)/(2 xx 0.05 m)`
`B = 1.2566 xx 10^(-3) T`
The magnetic flux at the center is 1.2566 mT.