The magnetic field through a 15 turn, 0.15 m radius coil varies with respect to
ID: 2096539 • Letter: T
Question
The magnetic field through a 15 turn, 0.15 m radius coil varies with respect to time according to the graph shown below. The field lines make an angle of 600 with respect to the coil plane.
1a)What is the magnitude of the induced emf for the time interval 0 - 2 seconds?
emf= ?
1b)What is the direction of the induced current during this time interval? Counter clockwise as seen from above or Clockwise as seen from above?
2a)What is the magnitude of the induced emf for the time interval 2 - 4 seconds?
emf= ?
2b)What is the direction of the induced current during this time interval? Counter clockwise as seen from above or Clockwise as seen from above?
3a)What is the magnitude of the induced emf for the time interval 4 - 7 seconds?
emf= ?
3b)What is the direction of the induced current during this time interval? Counter clockwise as seen from above or Clockwise as seen from above?
Explanation / Answer
Induced Emf= Change in flux/ time fives: d(Flux)/ dt= d(N*A*B*sin(theta)/ dt
E=N*A*sin(theta)*dB/dt
1A)0-2 seconds: E=15*pi*(.15)^2*sin(60)*slope of line=.918236*(.3/2)=.137735 Volts
1B) Clockwise
2A) as dB/dt= 0 .. E=0
2B) No current us induced
3A) E=.918236*(-.3/3)=-.0918236 Volts
3B) Counterclockwise (-ve sign inducates that it would be opposite to direction to that in 0-2 seconds)
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