In the figure, a stiff wire bent into a semicircle of radius a = 5.1 cm is rotated at constant angular speed 78 rev/s in a uniform 19 mT magnetic field. What are the (a) frequency and (b) the amplitude of the emf induced in volts in the loop? XX (a) Number i (b) Number i Units Units xxx xx XXX XXX XX

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The image displays a physics problem regarding electromagnetic induction. The problem states:

"In the figure, a stiff wire bent into a semicircle of radius \( a = 5.1 \, \text{cm} \) is rotated at constant angular speed 78 revolutions per second in a uniform 19 mT magnetic field. What are the (a) frequency and (b) the amplitude of the emf induced in volts in the loop?"

There is a diagram showing a semicircular loop with a radius \( R \), positioned within a uniform magnetic field denoted by "X" symbols, which indicate that the field is directed into the page. The loop has a resistor connected to it. 

The question assumes the need for calculations related to the frequency of the induced electromotive force (emf) and its amplitude in volts.

There are two parts to the question:
- (a) asks for the frequency, requiring a numerical answer with units to be chosen.
- (b) asks for the amplitude of the induced emf, also requiring a numerical answer with units to be chosen.
Transcribed Image Text:The image displays a physics problem regarding electromagnetic induction. The problem states: "In the figure, a stiff wire bent into a semicircle of radius \( a = 5.1 \, \text{cm} \) is rotated at constant angular speed 78 revolutions per second in a uniform 19 mT magnetic field. What are the (a) frequency and (b) the amplitude of the emf induced in volts in the loop?" There is a diagram showing a semicircular loop with a radius \( R \), positioned within a uniform magnetic field denoted by "X" symbols, which indicate that the field is directed into the page. The loop has a resistor connected to it. The question assumes the need for calculations related to the frequency of the induced electromotive force (emf) and its amplitude in volts. There are two parts to the question: - (a) asks for the frequency, requiring a numerical answer with units to be chosen. - (b) asks for the amplitude of the induced emf, also requiring a numerical answer with units to be chosen.
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