A conducting rectangular loop of mass M, resistance R, and dimensions a b is allowed to fall from rest through a uniform magnetic field which is perpendicular to the plane of the loop. The loop accelerates until it reaches a terminal speed (before the upper end enters the magnetic field). If a = 2.0 m, B = 6.0 T, R = 40 , and M = 0.60 kg, what is the terminal speed?
![](data:image/png;base64,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)
a.
1.6 m/s
b.
20 m/s
c.
2.2 m/s
d.
26 m/s
e.
5.3 m/s
Question 2The coil shown in the figure has 2 turns, a cross-sectional area of 0.20 m2, and a field (parallel to the axis of the coil) with a magnitude given by B = (4.0 + 3.0t2) T, where t is in s. What is the potential difference, VA VC, at t = 3.0 s?
![](data:image/png;base64,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)
a.
7.2 V
b.
+7.2 V
c.
4.8 V
d.
+4.8 V
e.
12 V