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The rotating loop in an ac generator is a square 12.0 cm on a side. It is rotated at 30.0 Hz in a uniform field of 0.800 T. Calculate the following quantities as functions of time t, where t is in seconds: the flux through the loop ____ mT.m²

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Final answer:

To calculate the flux through the rotating loop in an ac generator, use the formula flux = B x A x cos(ωt), where B is the magnetic field, A is the area of the loop, and ωt is the angular velocity multiplied by time.

Step-by-step explanation:

To calculate the flux through the rotating loop in an ac generator, we can use the formula:

flux = B × A × cos(ωt)

where B is the magnetic field, A is the area of the loop, and ωt is the angular velocity multiplied by time. In this case, the area of the square loop is 12.0 cm x 12.0 cm = 144.0 cm². The flux can be calculated using these given values in the equation.

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