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An electric field of intensity 3.0 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true:
(a) The plane is parallel to the yz-plane.
(b) The plane is parallel to the xy-plane.
(c) The plane contains the y-axis, and its normal makes an angle of 35.0° with the x-axis.
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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