Question

Consider the apparatus shown below in which a conducting bar can be moved along two rails connected to a lightbulb. The whole system is immersed in a magnetic field of 0.480 T perpendicularly into the page. The vertical distance between the horizontal rails is 0.800 m. The resistance of the lightbulb is 41.2 Ω, assumed to beconstant. The bar and rails have negligible resistance. The bar is moved toward the right by a constant force of magnitude 0.600 N.

(a) What is the direction of the induced current in the circuit?
ANS: counter-clockwise

(b) If the speed of the bar is 14.3 m/s at a particular instant, what is the value of the induced current?

ANS: ___ mA

(d) Find the value of this maximum speed.

ANS: ___ m/s

(e) What power is delivered to the lightbulb when the bar is moving at its terminal speed?

ANS: ___ W

Answer 1

Given:The below system is immersed in amagnetic field of = B = 0.480 T as shownbelow:Distance (vertical)between the horizontalrails is = L = 0.800 mresistance of the lightbulb is= R = 41.2 Obar is moved toward the right by aconstant force of magnitude = F = 0.600 N(a) Counter clockwise(b) If speed of the bar = V = 14.3 m/sinduced current = I_induced= B L V / R= (0.480)(0.8)(14.3)/(41.2)
= 1.332 A= 0.001332 mA (counter -clockwise)(e) power deliverd to the bulb P = I_induced² R = (1.332)² (41.2)= 73.09watts