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Q1. A student holding two weights close to his chest is sitting on a frictionless chair; the student and chair are rotating with an angular speed of 11.7 rad/s. The moment of inertia of Student + Weights + Chair system about an axis of rotation is 21.5 kg.m2. Currently the student extends his arms horizontally to increase the moment of inertia by 0.138 %. Discover the new angular speed of the system. (Give the answer in three significant figures and SI units)
Q2. A toroidal solenoid has 570 turns, cross-sectional area 7.00, and mean radius 4.70 .Calculate the coil's self-inductance. If the current decreases uniformly from 5.00 to 2.00 in 3.00, estimate the self-induced emf in the coil.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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