Consider the following situation based on Figure 29.6, specifically part c and d for reference. In this image, the area vector is pointing upwards, and we'll call that the positive z-direction. The magnetic field shown is pointing an estimated 45 degrees away from negative z. Match whether the induced emf will be positive or negative for the following four situations given the situation.

Prompt 1The magnetic field rotates to point parallel to the surface

Answer for prompt 1 The magnetic field rotates to point parallel to the surface

Prompt 2The magnetic field rotates to point exactly in the negative z-direction

Answer for prompt 2 The magnetic field rotates to point exactly in the negative z-direction

Prompt 3The magnetic field increases in magnitude

Answer for prompt 3 The magnetic field increases in magnitude

Prompt 4The magnetic field reduces in magnitude
just give answers

Here are the answers based on the described scenario:

**Prompt 1:** The magnetic field rotates to point parallel to the surface.  
**Answer:** Induced emf will be **positive**.

**Prompt 2:** The magnetic field rotates to point exactly in the negative z-direction.  
**Answer:** Induced emf will be **negative**.

**Prompt 3:** The magnetic field increases in magnitude.  
**Answer:** Induced emf will be **negative**.

**Prompt 4:** The magnetic field reduces in magnitude.  
**Answer:** Induced emf will be **positive**.

Do you want details or have any questions?  

Here are 5 follow-up questions to expand your understanding:

1. How does the angle between the magnetic field and area vector affect the induced emf?
2. What is the mathematical relationship between the rate of change of magnetic flux and induced emf?
3. Why does the direction of magnetic field rotation affect the sign of the induced emf?
4. How would the induced emf change if the magnetic field was pointing along the positive z-direction?
5. What happens if both the magnitude and direction of the magnetic field change simultaneously?

**Tip:** The direction of induced emf is determined by Lenz's Law, which states that it always opposes the change in magnetic flux.

Consider the following situation based on Figure 29.6, specifically part c and d for reference. In this image, the area vector is pointing upwards, and we'll call that the positive z-direction. The magnetic field shown is pointing an estimated 45 degrees away from negative z. Match whether the induced emf will be positive or negative for the following four situations given the situation.

Prompt 1: The magnetic field rotates to point parallel to the surface
Prompt 2: The magnetic field rotates to point exactly in the negative z-direction
Prompt 3: The magnetic field increases in magnitude
Prompt 4: The magnetic field reduces in magnitude.

Explore how induced emf changes when the magnetic field rotates or changes in magnitude. Learn key concepts like Lenz's Law, Faraday's Law of Induction, and how magnetic flux relates to induced emf in a system. This problem is ideal for high school students studying electromagnetic induction.

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