# 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.

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.