3. A rod of mass M and length L can slide without friction on two parallel rails as shown in the figure. There is a uniform magnetic field B directed out of the plane. The rails have negligible resistance but the rod has resistance R. Initially the rod is at rest, but at time t = 0 the switch is closed connecting the rod to a battery of Ɛ volts. Find the velocity of the rod as a function of time.

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Chapter1: Units, Trigonometry. And Vectors
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3. A rod of mass M and length L can slide without friction on two parallel rails as shown in the figure. There is a
uniform magnetic field B directed out of the plane. The rails have negligible resistance but the rod has resistance R.
Initially the rod is at rest, but at time t = 0 the switch is closed connecting the rod to a battery of Ɛ volts.
(d)
Find the velocity of the rod
as a function of time.
Transcribed Image Text:3. A rod of mass M and length L can slide without friction on two parallel rails as shown in the figure. There is a uniform magnetic field B directed out of the plane. The rails have negligible resistance but the rod has resistance R. Initially the rod is at rest, but at time t = 0 the switch is closed connecting the rod to a battery of Ɛ volts. (d) Find the velocity of the rod as a function of time.
B
v(t) =?
R
Transcribed Image Text:B v(t) =? R
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