The following figure shows a copper wire bent into a circular shape with a radiu

Question

The following figure shows a copper wire bent into a circular shape with a radius of 0.25m. The radial section be is fixed in place, which the copper bar ac sweeps around at an angular speed of to omega=12 rad/scc. The bar makes electrical contact with the wire at all times. The be section of the loop has a resistance of R = 5.0 Ohm. The wire and bar have negligible resistance. A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle. The magnitude of the magnetic field is B = 1.5times10^-3. T. (a) Use Faraday's law of electromagnetic induction and Ohm's law to Find the magnitude of the induced current in the loop abca. (b) Determine the direction of the induced electric current in the loop abca.(clockwise or counterclockwise)

Explanation / Answer

Area of the loop 'abca', A = (/2) * r2 = r2/2

Induced current in the loop. I = (1/R)(d/dt) = (B/R)(dA/dt) = Br2/2R

=> I = (1.5 * 10-3) * 12 * 0.252 / (2 * 5) = 1.125 * 10-4 A

b) The direction of the induced current will be the opposite to the direction of movement of the copper bar.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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