please show the calculations for getting the correct answers. Thank you. A 50-tu
ID: 3896118 • Letter: P
Question
please show the calculations for getting the correct answers. Thank you.
A 50-tum circular coil (radius = 15 cm) with a total resistance of 4.0 ohm is placed in a uniform magnetic field directed perpendicularly to the plane of the coil. The magnitude of this field varies with time according to B = A sin ( alpha t), where A = 80 mu T and alpha = 50 pi rad/s. What is the magnitude of the current induced in the coil at t = 20 ms? A long straight wire is parallel to one edge and is in the plane of a single-tum rectangular loop as shown. If the loop is changing width so that the distance x changes at a constant rate of 4.0 cm/s, what is the magnitude of the emf induced in the loop at an instant when x = 6.0 cm? Let a = 2.0 cm, b = 1.2 m and I = 30 A. A long solenoid (n = 1500 turns/m) has a cross-sectional area of 0.40 m2 and a current given by 1 = (4.0 + 3.0t2) A, where t is in seconds. A flat circular coil (N = 300 turns) with a cross-sectional area of 0.15 m2 is inside and coaxial with the solenoid. What is the magnitude of the emf induced in the coil at t = 2.0 s?Explanation / Answer
1.
emf = -dphi/dt
phi = NxBxAr
dphi/dt = NxArxAxwxcos(wt)
emf = 50 x pi x (0.15)^2 x 50 x pi x cos(50 x pi x 20)
= 554 x 10^(-6)
i = V/R
554 / 4
138.5 x 10^(-6) amps
3
Now induced emf ? =1.017 Volts
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