Two concentric circular wire loops are in the same plane and each carry a curren
ID: 1914822 • Letter: T
Question
Two concentric circular wire loops are in the same plane and each carry a current. The larger loop has a radius rB of 0.0620 m and carries a current IB of 8.46 A circulating clock- wise. The smaller loop has a radius rA of 0.0442 m. A) Knowing that the magnitude of the magnetic field in the center of a circular loop can be calculated using expression B = ?0I , determine the magnitude and direction of the magnetic ?2r field in the center of the larger loop due to the current carried by it. [2 points] B) Determine the magnitude and direction of the current in the smaller loop if the total magnetic field at the center of the system is zero. [3 points] C) Using Biot-Savart law, show that the magnetic field in the center of a circular loop can be expressed as B = ?0I [5 points]
Explanation / Answer
Bb=uIb/2rb = 857.3x10^-7 T
B at centre is 0..
so Ba=Bb
Ia=Ibxra/rb = 6.03 A...(anticlockwise)......
by Biot-Savart law, we know,
=integral( ui.dlsin/4r^2)
here sin=1, integral dl= 2r......
B= ui/2r.........
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