A coil is wound with 125 turns on a rectangle former with a length and width of 100 mm and 50 mm, respectively. The coil rotates in a uniform magnetic field of density 1.0 T. The ends of the coil are electrically connected to the terminals of a 120 resistor. a) Calculate the rotation speed of the coil in Revolution per Minute (RPM) to produce an a.c. waveform with a frequency of 60 Hz. b) Calculate the period of the waveform. c) Calculate the maximum value of the e.m.f. generated in the coil. d) Write the instantaneous expression for the current flowing through the resistor e) Determine the amount of current flows in the coil when the coil has rotated through 45° from the position of zero e.m.f. f) Sketch the current waveform indicating i. The peak amplitude of the current ii. The peak-to-peak current iii. The average current The root mean square (r.m.s.) current iv. V. The waveform period
A coil is wound with 125 turns on a rectangle former with a length and width of 100 mm and 50 mm, respectively. The coil rotates in a uniform magnetic field of density 1.0 T. The ends of the coil are electrically connected to the terminals of a 120 resistor. a) Calculate the rotation speed of the coil in Revolution per Minute (RPM) to produce an a.c. waveform with a frequency of 60 Hz. b) Calculate the period of the waveform. c) Calculate the maximum value of the e.m.f. generated in the coil. d) Write the instantaneous expression for the current flowing through the resistor e) Determine the amount of current flows in the coil when the coil has rotated through 45° from the position of zero e.m.f. f) Sketch the current waveform indicating i. The peak amplitude of the current ii. The peak-to-peak current iii. The average current The root mean square (r.m.s.) current iv. V. The waveform period
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![A coil is wound with 125 turns on a rectangle former with a length and width of 100 mm and
50 mm, respectively. The coil rotates in a uniform magnetic field of density 1.0 T. The ends
of the coil are electrically connected to the terminals of a 120 № resistor.
a) Calculate the rotation speed of the coil in Revolution per Minute (RPM) to produce an
a.c. waveform with a frequency of 60 Hz.
b)
Calculate the period of the waveform.
c) Calculate the maximum value of the e.m.f. generated in the coil.
d) Write the instantaneous expression for the current flowing through the resistor
e) Determine the amount of current flows in the coil when the coil has rotated through
45° from the position of zero e.m.f.
f) Sketch the current waveform indicating
i.
The peak amplitude of the current
ii.
The peak-to-peak current
iii.
The average current
iv.
The root mean square (r.m.s.) current
V.
The waveform period](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3144732-cd8e-4d15-8b5e-c18450259e48%2Fd38174a4-c6e2-4705-8ccb-f53892cf9fe4%2Ffiul65_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A coil is wound with 125 turns on a rectangle former with a length and width of 100 mm and
50 mm, respectively. The coil rotates in a uniform magnetic field of density 1.0 T. The ends
of the coil are electrically connected to the terminals of a 120 № resistor.
a) Calculate the rotation speed of the coil in Revolution per Minute (RPM) to produce an
a.c. waveform with a frequency of 60 Hz.
b)
Calculate the period of the waveform.
c) Calculate the maximum value of the e.m.f. generated in the coil.
d) Write the instantaneous expression for the current flowing through the resistor
e) Determine the amount of current flows in the coil when the coil has rotated through
45° from the position of zero e.m.f.
f) Sketch the current waveform indicating
i.
The peak amplitude of the current
ii.
The peak-to-peak current
iii.
The average current
iv.
The root mean square (r.m.s.) current
V.
The waveform period
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