A conducting bar of length l moves to the right on two frictionless rails as sho

Question

A conducting bar of length l moves to the right on two frictionless rails as shown in Figure. A uniform magnetic field directed into the page has a magnitude of 0.4T. Assume R = 9.0 Ohm and l = 0.4m. (a) At what constant speed should the bar move to produce an 8.50mA current in the resistor? (b) What s the direction of the induced current? (c) At what rate is energy delivered to the resistor? Use Lenz's law to answer the following questions concerning the direction of induced currents. Express your answers in terms of the letter labels a and b in each part of Figure. (a) What is the direction of the induced current in the resistor R in Figure a when the at magnetic is moved to the left? (b) What is the direction of the current induced current in the resistor R immediately after the switch S in Figure b is closed. (c) What is the direction of the induced current in the resister R when the current I in Figure c decreases rapidly to zero?

Explanation / Answer

Induced emf E = BLv

Induced current i = E/R

= BLv / R

Speed v = iR / BL

= (8.5x10-3)(9) /(0.4)(0.4)

= 0.478125 m/s

(b). Clockwise direction Since from Fleming right hand rule

(c).Rate of energy delivered = i 2 R

= (8.5x10 -3) 2 (9)

= 6.5025x10 -4 W

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