### Induced EMF in Wire Loops#### Question:The three loops of wire shown in the figure are all hanging in the same uniform magnetic field \( B \) that is perpendicular to the page and is constant in time. Loop 1 swings back and forth like the bob in a pendulum, Loop 2 rotates about a vertical axis, and Loop 3 oscillates up and down at the end of a spring. Which loop (or loops) will have an emf (and current) induced in them?#### Options:A. Loop 1 B. Loop 2 C. Loop 3 D. Loops 1 and 3 E. All three loops#### Explanation of the Diagram:The diagram consists of three wire loops labeled 1, 2, and 3. Each loop is subjected to different types of motion:1. **Loop 1:** This loop swings back and forth horizontally, similar to a pendulum, causing its position relative to the magnetic field to change over time.2. **Loop 2:** This loop rotates around a vertical axis. As it rotates, different parts of the loop pass through the magnetic field at different times.3. **Loop 3:** This loop moves up and down vertically, oscillating at the end of a spring. Its vertical position relative to the magnetic field changes over time.#### Analysis:- **Loop 1:** The pendulum-like motion changes the orientation of the loop relative to the magnetic field, which can induce an emf due to the changing magnetic flux through the loop.- **Loop 2:** The rotation about the vertical axis ensures that parts of the loop are continually moving through the magnetic field, changing the magnetic flux through the loop and thus inducing an emf.- **Loop 3:** The up-and-down oscillatory motion changes the area of the loop exposed to the magnetic field. This change in area leads to a varying magnetic flux through the loop, thereby inducing an emf.As a result, all three loops undergo changes in magnetic flux due to their respective motions and will therefore have an emf induced in them.#### Answer:E. All three loops

Answered: 10) The three loops of wire shown in…

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