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Question: The picture shows two long, parallel wires. The upper wire carries a current of 3.0 A to the right & the lower wire carries a current of 1.0 A to the left.
[A] What is the magnitude of ∮B – ds when the integral is taken along path B in the diagram? (μo= 8.85⨉10-12 F/m)[B] What is the value of the integral ∮B – ds when the integral is taken along path A in the diagram? (μo= 8.85⨉10-12 F/m)[C] A rectangular loop of wire is placed midway between two long straight parallel conductors, as shown. The conductors carry currents i1 = 10 A & i2 = 20 A in a direction as indicated. If i1 is increasing at 1 A/sec. Calculate the magnitude & direction (clockwise or counter clockwise) of the current which is induced in the loop.
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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