Mechanics or what? - 3

Electricity and Magnetism Level 4

A conducting rod of mass \(m\) and length \(L\) is free to slide on smooth horizontal conducting rails as shown. Resistance of the resistor is R. Uniform magnetic field intensity \(B\) exists through out the region and is normally inward as shown. The rod is given a initial velocity \(v_o\). Find the velocity of the rod as a function of time.

inspiration

Try my previous problem here

\[\large v=e^{\frac{-B^2L^2t}{mR}}\] \[\large v=v_oe^{\frac{-B^2L^2t}{4mR}}\] \[\large v=v_oe^{\frac{-B^2Lt}{mR}}+v_o\] \[\large v=v_oe^{\frac{B^2L^2t}{mR}}\] \[\large v=v_oe^{\frac{-B^2L^2t}{R^2}}\] \[\large v=v_oe^{\frac{-B^2L^2t}{mR}}\] None of these choices \[\large v=v_oe^{\frac{-B^2L^2t}{3mR^2}}\]

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Mechanics or what? - 3

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100 Day Summer Challenge

Mechanics or what? - 3

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.