The fundamental frequency of the G string of a guitar is f=196Hz. The fundamental vibrational mode of the string is described by the standing wavey(t,x)=acos(2πft)sin(πxL)where L=65cm 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=2Tmagnetic field. Assume that the magnetic field is perpendicular to the plane in which the string vibrates.

Question

The fundamental frequency of the G string of a guitar is f=196Hz. The fundamental vibrational mode of the string is described by the standing wavey(t,x)=acos(2πft)sin(πxL)where L=65cm 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=2Tmagnetic field. Assume that the magnetic field is perpendicular to the plane in which the string vibrates.