1. A single-turn circular loop of wire that has a radius of 5.0cm lies in the pl
ID: 2302140 • Letter: 1
Question
1. A single-turn circular loop of wire that has a radius of 5.0cm lies in the plane perpendicular to a spatially uniform magnetic field. During a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2T to 0.4T. determine the magnitude of the emf induced in the loop during the time interval.
2.Determine the direction of the induced current in the loop for each case shown i the figure below.
3. A magnetic field of 0.45G is directed straight down. perpendicular to the plane of a circular coil of wire that is made up of 250 turns and has a radius of 20cm. (a) if the coil is streched, in time of 15 ms, to a radius of 30cm, calculate the emf induced in the coil during the process.(b) Assuming the resistance of the coil is constant 25 Ohms, what is the induced current in the coil during the process? (c) what is the direction of the induced current in the coil (clockwise or coutnerclockwise, as viewed from above)?
Explanation / Answer
1) induced emf = A*dB/dt
= pi*0.05^2*(0.4-0.2)/0.12
= 1.309*10^-2 volts
2)
a) counter clockwise
b) clockwise
c)clockwise
d) counter clockwise
e) clockwise
f) no induced current
3)
a) induced emf = N*B*dA/dt
= 250*0.45*10^-4*pi*(0.3^2 - 0.2^2)/15*10^-3
= 0.1178 volts
b) i = emf/R = 0.1178/25 = 4.71*10^-2 A
c) counter clockwise
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