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.
induced emf V = d(B*A)/dt = B*dA/dt B = 1.00 T A = pi*r^2 circumference c = 2pi*r r = c / 2pi so A = pi*(c / 2pi)^2 A = c^2 / 4pi so dA/dc = c / 2pi = r dA/dt = dA/dc * dc/dt dc/dt = -15 cm/s = -0.15 m/s At t = 8.00s, c = 168 – (8*15)m = 48 cm = 0.48m so dA/dc = r = 0.48m / 2pi = 0.0764 m so dA/dt = 0.0764m * 0.15 m/s = 0.01146 m^2 /s so E = 1.00T * 0.01146 m^2/s = 0.01146V = 11.5 mV <= ANS
- Traceback most recent call last - November 24, 2022
- When washing tableware in a three compartment sink - November 24, 2022
- Drag and drop the labels into the correct empty boxes to complete the concept map. - November 24, 2022