Final answer:
The question asks about the induced emf and power as a function of time for a rotating rectangular coil in a magnetic field.
Step-by-step explanation:
The question refers to a rectangular coil rotating in a magnetic field and asks about the induced emf and power as a function of time. To determine the emf induced in the coil as a function of time, you can use Faraday's law of electromagnetic induction which states that the emf induced in a coil is equal to the rate of change of magnetic flux through the coil. To find the power as a function of time, you can use Ohm's law which states that power is equal to the square of the current multiplied by the resistance. By substituting the expressions for emf and current into the power equation, you can calculate the power as a function of time. If the coil is connected to a different resistance, the power can be recalculated using the new resistance value.