Question

This problem explores how a current-carrying wire can be accelerated by a magnetic field. You will use the ideas of magnetic flux and the EMF due to change of flux through a loop. Note that there is an involved follow-up part that will be shown once you have found the answer to Part B.A) What is the acceleration ar(t) of the rod? Take m to be the mass of the rod.Express your answer as a function of V, B, the velocity of the rod vr(t), L, R, and the mass of the rod m.

Answer 1

The acceleration ar(t) of the rod can be determined using the equation F = ma, where F is the net force. Substituting the appropriate values into the equation, ar(t) = (VBL) / (mR).

Step-by-step explanation:

The acceleration ar(t) of the rod can be determined using the equation F = ma, where F is the net force. In this case, the net force is the force due to the magnetic field, given by F = ILB, where I is the current in the rod, L is the length of the rod, and B is the magnetic field strength. Since the rod is being pulled at a constant speed, we can express the current as I = V/R, where V is the voltage across the resistor and R is the resistance. Substituting these equations into the equation for acceleration, we get ar(t) = (VBL) / (mR).

Answer 2

The acceleration of the rod can be determined using the equation: ar(t) = (V - vr(t))B/L - (Rmvr(t))/Lm

Step-by-step explanation:

The acceleration of the rod can be determined using the equation:

ar(t) = (V - vr(t))B/L - (Rmvr(t))/Lm

where ar(t) is the acceleration of the rod, V is the velocity of the rod, vr(t) is the velocity of the rod at time t, B is the magnetic field strength, L is the distance between the conducting rails, R is the resistance in the circuit, and m is the mass of the rod.