Thank you very much! Two parallel rails having negligible resistance are connect

Question

Thank you very much!

Two parallel rails having negligible resistance are connected by a resistor. The circuit also contains two metals rods with resistance, one with moving to the left and the other moving to the right. At t = 0 seconds the rods are 5 cm from the 6 ohm resistor. The rods are sliding along the rails and moving away from the 6 ohm resistor ar constant velocities as shown in figure below. A uniform magnetic field is applied perpendicular to the plane of the rails. Note: Drawing not to scale. Determine the magnitude of the current in the 6 ohm resistor ar t = 5s. {Be careful - this is multiple-loop circuit.} Answer in units of mA.

Explanation / Answer

induced emf in the moving rod = B*v*L

= 0.0118*2*0.1

= 2.36*10^-3 volts

net resistance of the ckt, Rnet = 13 + 6*17/(6+17)

= 17.43 ohms

current through 13 ohm resistor, I = induced emf/Rnet

= 2.36*10^-3/17.43

= 0.135 mA

current through 6 ohms = I*17/(6+17)

= 0.1 mA <<<<<<--------Answer

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