Find the maximum displacement of the rod

Reference no: EM13300872

A conducting loop is formed with two springs, each with a spring constant, k=2N/m, and a rod of length, I=30cm, and mass, m=0.020kg. A uniform magnetic field of 0.4T is directed perpendicular to the plane of the loop. At time, t=0s, the rod is released with the springs extended by deltaX=10cm.

a) write an expression for the induced emf in terms of the magnetic field, the legth of the rod, the maximum velocity of the rod, the displacement of the rod, and the maximum displacement of the rod. (Hint: treat the system as a harmonic oscillator)

b) what is the maximum value of the emf, and after how much time after the rod is released does the maximum emf first occur?

Reference no: EM13300872

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