Find the following. (a) the currents in both resistors (b) the total power deliv

Question

Find the following.

(a) the currents in both resistors

(b) the total power delivered to the resistance of the circuit
W

(c) the magnitude of the applied force that is needed to move the rod with this constant velocity
N

2.00-? resistor     A 5.00-? resistor     A A conducting rod of length (a) the currents in both resistors (b) the total power delivered to the resistance of the circuit W (c) the magnitude of the applied force that is needed to move the rod with this constant velocity N l = 35.0 cm is free to slide on two parallel conducting bars as shown in the figure below. Two resistors R1 = 2.00 ? and R2 = 5.00 ? are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.10 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of v = 7.75 m/s. Find the following

Explanation / Answer

1) I1 = Bvl/ R1= 2.1*7.75*0.35/2= 2.848

I2 = Bvl/ R2= 2.1*7.75*0.35/5= 1.139

2) Using the junction rule, that tells us that a total of 3.987A rides through the rod, and the power supplied is thus

P = EI = Bvl(3.987A) = (2.1*7.75*0.35)(3.987)=22.7W

3) The magnitude of the force could be found by FB = ILB, or by W = FB?x

Fbv = 22.7W ? Fb = 22.7/7.75 m/s = 2.93N

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