A standard door into a house rotates about a vertical axis

Chapter , Problem 13

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A standard door into a house rotates about a vertical axis through one side, as defi ned by the doors hinges. A uniform magnetic fi eld is parallel to the ground and perpendicular to this axis. Through what angle must the door rotate so that the magnetic fl ux that passes through it decreases from its maximum value to one-third of its maximum value?

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