In Figure 28-22, let B be 0.8 T, v = 13.5 m/s, ? = 23 cm, and R = 2 . (a) Find t

Question

In Figure 28-22, let B be 0.8 T, v = 13.5 m/s, ? = 23 cm, and R = 2 .

(a) Find the induced emf in the circuit.

...............V

(b) Find the current in the circuit.

.................A

clockwise or counterclockwise?

(c) Find the force needed to move the rod with constant velocity assuming negligible friction.

...............................N

(d) Find the power input by the force found in part (c).

..........................W

(e) Find the rate of Joule heat production I^2R.

..............................W

Explanation / Answer

Part A

Induced EMF is given by:

EMF = B*v*L

EMF = 0.8*13.5*23*10^-2 = 2.48 V

Part B

i = EMF/R

i = 2.48/2 = 1.24 Amp

Part C

Magnetic force is given by:

Fm = i*L*B

Fm = 1.24*0.23*0.8 = 0.228 N

Part D.

Power = Force*Velocity

P = 0.228*13.5 = 3.07 W

Part E.

Rate of heat production will be

P = i^2*R = 1.24^2*2

P = 3.07 W

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