**Problem 3.** A conducting rectangular loop is rotating in an external magnetic field as shown. \(B = 1 \, \text{T}\), \(r = 0.1 \, \text{m}\), \(f = 60 \, \text{Hz}\). The length of the loop in the direction perpendicular to the picture is \(l = 0.3 \, \text{m}\).**(a)** Find the voltage induced in this rotating loop.**(b)** Suppose that a \(10 \, \Omega\) resistor is connected as a load across the terminals of the loop. Express the current flowing through the resistor as a function of time. You will need to make one simplification assumption; explain what it is.**(c)** For the conditions in (b), calculate the instantaneous and average electric power generated by the loop.**(d)** Same for mechanical power consumed by the loop.### Diagram Explanation:The image shows a rectangular loop \( \Omega \) rotating in a magnetic field between two poles marked \(N\) (North) and \(S\) (South). The rotation radius is provided as \(r = 0.1 \, \text{m}\).- The loop is depicted as a dashed circle with an armature at an angle \(\theta\) moving through the magnetic field \(B\).- The magnetic field is uniform and directed from the North to the South pole as indicated by a series of horizontal arrows across the loop.- A dashed line through the center represents the axis of rotation, with the rotation spanning 360 degrees or \(\theta\) radians.- The positions on the loop are labeled as \( a, b, c, \) and \( d \) to depict contact points in the field.This setup is typically used to demonstrate electromagnetic induction, voltage generation, and power calculations associated with rotating conductors in magnetic fields.

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Answered: Problem 3. A conducting rectangular…

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