(a) Find the currents in both resistors. (b) Find the total power delivered to t
ID: 1992227 • Letter: #
Question
(a) Find the currents in both resistors.
(b) Find the total power delivered to the resistance of the circuit.
(c) Find the magnitude of the applied force that is needed to move the rod with this constant velocity.
A conducting rod of length l = 35.0 cm is free to slide on two parallel conducting bars, as shown in the figure below. Two resistors R1 = 2.00 Omega and R2 = 5.00 Omega are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.65 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of v = 8.40 m/s. (a) Find the currents in both resistors. (b) Find the total power delivered to the resistance of the circuit. (c) Find the magnitude of the applied force that is needed to move the rod with this constant velocity.Explanation / Answer
a. E = Blv = 7.791 V Two resistors are parallel: I1 = E/R1 = 7.791/2.00 = 3.8955A I2 = E/R2 = 7.791/5.00 = 1.558 A b. Total power = E(I1+I2) = 7.59*5.31 = 42.488W c. Current through the rod I = I1+I2 = 5.45A Force required F = BIl = 5.05 N
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