please show calculations. the answers are 11mA, 4.8uC, and 1.0V A 50-turn circul
ID: 3896591 • Letter: P
Question
please show calculations. the answers are 11mA, 4.8uC, and 1.0V
A 50-turn 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 (at), 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-turn rectangular loop as shown. If the loop is changing width so that the distance x changes at a constant rate of 4.0 an/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 I = (4.0 + 3.0i2) 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=d?/dt
current i=emf/R
R=4
?=N*pi*r^2*Asin(alpha*t)
N=50 r=0.15
A=80*10^-6 alpha=50 pi
d?/dt=N*pi*r^2*A*alpha*cos(alpha*t)
at t=20ms
d?/dt=50*pi*0.15*0.15*80*10^-6**50*pi*-1
=44.4132198049*10^-3
i=44.4132198049*10^-3/4
=11 mA
2)
B due to long wire at distance x is
B=
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