in 0.20 s, a coil of wire with 50 loops experiences an average induced emf of 9.
ID: 1292849 • Letter: I
Question
in 0.20 s, a coil of wire with 50 loops experiences an average induced emf of 9.0 V due to a changing magnetic field perpendicular to the plane of the coil. The radius of the coild is 10cm, and the initial strength of the magnetic field is 1.5 T. Assuming that the strength of the field decreased with time,
a) What is the final strength of the field?
b) If the field strength had, instead, increased, what would its final value have been?
c) Explain a method whereby you could, in principle, tell wheter the field was increasing or decresing in magnitude.
Please show work
Explanation / Answer
emf = N*dflux/dt
= N*d(B.A)/dt
A. 9 = 50 *pi*0.1^2 *(dB/dt)
9 = 50*pi*0.10^2*(1.5-B)/0.20
B = 0.354 T
b.) 9 = 50*pi*0.10^2*(1.5-B)/0.20
B = 2.646 T
c. by checking the direction of current we can check whether filed is increasing or decrasing.
current will be such that it will tend to oppose change in magnetic field
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