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Q1. An airtight box has a removable lid of area 1.00 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 7.00 104 Pa. The inside of the box is completely displaced. What is the magnitude of the force essential to pull the lid off the box?
Q2. A flat circular coil with 167 turns, a radius of 5.33 x 10-2 m, and a resistance of 0.389 Ω is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of ΔB/Δt = 0.883 T/s, thereby inducing a current in the coil. Find out the magnitude of magnetic field at the center of the coil that is produced by the induced current.
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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