Emf on the G string
Electricity and Magnetism
Level
4
The fundamental frequency of the G string of a guitar is \( f= 196 Hz \). The fundamental vibrational mode of the string is described by the standing wave \[ y(t,x)= a \cos(2 \pi f t) \sin(\frac{\pi x}{L})\] where \(L=65 cm\) is the length of the string and \( a=1mm\) is the amplitude of the oscillations. What would be the peak emf in Volts induced across the ends of the string if the guitar is played in a \(B= 2T \) magnetic field?
Assume that the magnetic field is perpendicular to the plane in which the string vibrates.
by
David Mattingly