I NEED C, D, E, AND F. Consider the apparatus shown below in which a conducting

Question

I NEED C, D, E, AND F.

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 magnitude B = 0.340 T perpendicular and into the page. The distance between the horizontal rails is l = 0.800 m. The resistance of the lightbulb is R = 51.8 ?, assumed to be constant. The bar and rails have negligible resistance. The bar is moved toward the right by a constant force of F = 0.600 N. We wish to find the maximum power delivered to the lightbulb. Find an expression for the current in the lightbulb as a function of B, l, R, and v, the speed of the bar. When the maximum power is delivered to the lightbulb, what analysis model properly describes the moving bar? particle in equilibriumparticle under a net force particle under constant acceleration Use the analysis model in part (b) to find a numerical value for the speed v of the bar when the maximum power is being delivered to the lightbulb. Find the current in the lightbulb when maximum power is being delivered to it. Using P = I2R, what is the maximum power delivered to the lightbulb? What is the maximum mechanical input power delivered to the bar by the force F?

Explanation / Answer

a) em f = B L v

I = B L v/R

b) particle in equilibrium

c) max power when F magnetic = F applied

I L B = F

plug in for I

B^2 L^2 v/R = F

v = R F/(B^2 L^2) = 51.8^2*0.6/(0.34^2*0.8^2)= 420 m/s

d) I = B L v/R = 0.34*0.8*420/51.8=2.2 A

e) P = I^2 R = 2.2^2*51.8=250 W
f) P = F v = 0.6*420= 250 W

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