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Ms. Mara Collier

Feb 20, 2025

Mastering Physics- Induced EMF and Current in a Shrinking Loop?

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 168 cm, but its circumference is decreasing at a constant rate of 15.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T, which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.Find the magnitude of the emf induced in the loop after exactly time 8.00 s has passed since the circumference of the loop started to decrease.
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Saul Waters

Feb 20, 2025

induced emf V = d(B*A)/dt = B*dA/dtB = 1.00 T A = pi*r^2circumference c = 2pi*rr = c / 2piso A = pi*(c / 2pi)^2A = c^2 / 4pi so dA/dc = c / 2pi = rdA/dt = dA/dc * dc/dtdc/dt = -15 cm/s = -0.15 m/sAt t = 8.00s, c = 168 - (8*15)m = 48 cm = 0.48mso dA/dc = r = 0.48m / 2pi = 0.0764 mso dA/dt = 0.0764m * 0.15 m/s = 0.01146 m^2 /sso E = 1.00T * 0.01146 m^2/s = 0.01146V = 11.5 mV <= ANS... Show More
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