A semi-circular loop of wire is moving with velocity m/s; the loop has a radius

Question

A semi-circular loop of wire is moving with velocity m/s; the loop has a radius of 2 m, and includes a resistor of resistance R. The loop is moving in a magnetic flux density where t is the time in seconds and r represents distance in meters from the origin. The figure below illustrates the location of the loop at time zero. Find the transformer EMF induced in the loop at time zero. Find the motional EMF induced in the loop at time zero. Find the total EMF induced in the loop at time zero. Which terminal of the resistor do currents flow into at time zero? Explain. Note the following

Explanation / Answer

The deployed segments must be placed relative to each other with the same ten nm accuracy. This requires precision structures, precision deployment, highly linear hinges and highly accurate latches. Typically, structures and their deployment must be accurate to approximately 1 mm. The hinges and latches must be carefully designed to perform linearly in both tension and compression. Even so, absolute deployment to this accuracy is impossible and fine adjustments must be made after deployment to obtain and maintain position. These adjustments require highly sensitive sensors and actuators, as well as very complex control algorithms to manipulate them.

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