Problem 4As shown below, a metal rod of length L 10cm is being pulled along horizontal, frictionless,conducting rails at a constant velocity with v-5.0 m/s.The rails are connected at one end with a metal strip. A uniform magnetic field of magnitudeB 1.2T, directed out of the page, fills the region in which the rod moves. The resistance of therod is R-0.4012, and assume that the resistance of the rails and metal strip is negligibly small.(a) What is the direction of the emf induced in the rod?(b) Find the magnitude of the emf induced in the rod.(c) Find the rate at which thermal energy is being generated in the rod.(d) Find the magnitude of the external force on the rod that is needed to maintain the constantvelocity .

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Asked Apr 10, 2019
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Problem 4
As shown below, a metal rod of length L 10cm is being pulled along horizontal, frictionless,
conducting rails at a constant velocity with v-5.0 m/s.
The rails are connected at one end with a metal strip. A uniform magnetic field of magnitude
B 1.2T, directed out of the page, fills the region in which the rod moves. The resistance of the
rod is R-0.4012, and assume that the resistance of the rails and metal strip is negligibly small.
(a) What is the direction of the emf induced in the rod?
(b) Find the magnitude of the emf induced in the rod.
(c) Find the rate at which thermal energy is being generated in the rod.
(d) Find the magnitude of the external force on the rod that is needed to maintain the constant
velocity .
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Problem 4 As shown below, a metal rod of length L 10cm is being pulled along horizontal, frictionless, conducting rails at a constant velocity with v-5.0 m/s. The rails are connected at one end with a metal strip. A uniform magnetic field of magnitude B 1.2T, directed out of the page, fills the region in which the rod moves. The resistance of the rod is R-0.4012, and assume that the resistance of the rails and metal strip is negligibly small. (a) What is the direction of the emf induced in the rod? (b) Find the magnitude of the emf induced in the rod. (c) Find the rate at which thermal energy is being generated in the rod. (d) Find the magnitude of the external force on the rod that is needed to maintain the constant velocity .

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Expert Answer

Step 1

Given: Length, L = 10 cm = 0.1 m

Magnetic field, B = 1.2 T

velocity, v = 5 m/s

R = 0.4 ohm

Find: (a) Direction of induced emf

(b) Magnitude of induced emf

(c) Rate at which thermal energy is being generated

(d) Magnitude of the external force on the rod that is needed to maintain the constant velocity

Step 2

(a) Calculate the direction of emf induced as:

From this expression we can see that, emf induced is in negative direction, thus it is downward.

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Step 3

(b) Calculate the magnitude...

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