Two circular loops are centered on the x-axis parallel to the yz-plane. The smal

Question

Two circular loops are centered on the x-axis parallel to the yz-plane. The smaller loop is stationary with radius r = 0.014 m, and resistance R = 0.003 Ohms. The larger loop has radius, s = 0.14 m, carries current I = 1.5 A, and moves towards the smaller loop with speed v = 200 m/s. Find the current induced in the smaller loop when the larger loop is x = 0.9 m away. What is the direction of current through the smaller loop compared to the direction of current in the larger loop? Is it in the same or the opposite direction?

Answer: 3.27*10^-6Â

Explanation / Answer

magnetic field(B)=k/4*pi [2*pi*R^2*current/(z^2+R^2)^3/2] {R is radius of loop and Z is distance along axis}

induced emf=B*length*velocity

current=induced emf/resistsnce

direction of current is such that it produces magnetic field opposite to initial magnetic field

so,it is opposite to that of initial loop.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.