Two rails with zero resistance are placed at a distance D apart on an included ramp with angle 0. They are joined at the bottom by a resistor R. At the top, a copper bar of mass M (ignore its resistance) is laid across the rails. The whole apparatus is immersed in a vertical magnetic field of strength B. The rod slides down without friction and with a constant velocity. a) Explain qualitatively what the direction of the induced current in the loop is. b) Find the Emf induced as a function of known parameters and the velocity of the rod. c) Find the induced current as a function of known parameters and the rod's velocity. d) Find the direction of the magnetic force acting on the sliding rod. e) Find the magnitude of the magnetic force that the sliding rod experiences rod as a function of known parameters and the velocity of the rod. f) Find the velocity of the sliding rod as a function of known parameters.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 2:
Two rails with zero resistance are placed at a distance D apart on an included ramp with angle 0.
They are joined at the bottom by a resistor R. At the top, a copper bar of mass M (ignore its
resistance) is laid across the rails. The whole apparatus is immersed in a vertical magnetic field of
strength B. The rod slides down without friction and with a constant velocity.
a) Explain qualitatively what the direction of the induced current in the loop is.
b) Find the Emf induced as a function of known parameters and the velocity of the rod.
c) Find the induced current as a function of known parameters and the rod's velocity.
d) Find the direction of the magnetic force acting on the sliding rod.
e) Find the magnitude of the magnetic force that the sliding rod experiences rod as a function of
known parameters and the velocity of the rod.
f) Find the velocity of the sliding rod as a function of known parameters.
D
Ꮎ
R
Transcribed Image Text:Problem 2: Two rails with zero resistance are placed at a distance D apart on an included ramp with angle 0. They are joined at the bottom by a resistor R. At the top, a copper bar of mass M (ignore its resistance) is laid across the rails. The whole apparatus is immersed in a vertical magnetic field of strength B. The rod slides down without friction and with a constant velocity. a) Explain qualitatively what the direction of the induced current in the loop is. b) Find the Emf induced as a function of known parameters and the velocity of the rod. c) Find the induced current as a function of known parameters and the rod's velocity. d) Find the direction of the magnetic force acting on the sliding rod. e) Find the magnitude of the magnetic force that the sliding rod experiences rod as a function of known parameters and the velocity of the rod. f) Find the velocity of the sliding rod as a function of known parameters. D Ꮎ R
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