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You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field В. Part A If the magnitude of B increases while its direction remains unchanged, how will the magnetic flux through the coil change? Check all that apply. > View Available Hint(s) O The flux is unchanged because the position of the coil with respect to Bis unchanged. O The flux increases because the magnitude of B increases. O The flux decreases because the magnitude of B increases. O The flux is unchanged because the surface area of the coil is unchanged.

You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field В. Part A If the magnitude of B increases while its direction remains unchanged, how will the magnetic flux through the coil change? Check all that apply. > View Available Hint(s) O The flux is unchanged because the position of the coil with respect to Bis unchanged. O The flux increases because the magnitude of B increases. O The flux decreases because the magnitude of B increases. O The flux is unchanged because the surface area of the coil is unchanged.

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## Understanding Magnetic Flux and Coil Orientation When you position a wire coil such that the plane of the coil is perpendicular to a magnetic field \(\vec{B}\), you are setting up a scenario to observe changes in magnetic flux. ### Part A: Magnetic Flux Change Analysis **Scenario**: If the magnitude of \(\vec{B}\) increases while its direction remains unchanged, how will the magnetic flux through the coil change? **Options** (Check all that apply): 1. **The flux is unchanged because the position of the coil with respect to \(\vec{B}\) is unchanged.** 2. **The flux increases because the magnitude of \(\vec{B}\) increases.** 3. **The flux decreases because the magnitude of \(\vec{B}\) increases.** 4. **The flux is unchanged because the surface area of the coil is unchanged.** ### Key Concepts - **Magnetic Flux (\(\Phi\))**: It is calculated as the product of the magnetic field (\(\vec{B}\)), the area of the coil (\(A\)), and the cosine of the angle (\(\theta\)) between them. When the coil is perpendicular to \(\vec{B}\), \(\cos(\theta) = 1\), thus, \(\Phi = B \cdot A\). - **Effect of Increasing \(\vec{B}\)**: Since \(\Phi = B \cdot A\) and \(A\) does not change, an increase in \(\vec{B}\) will result in an increase in \(\Phi\). Understanding these principles is crucial for grasping the fundamentals of electromagnetism and how magnetic fields interact with conductive materials.
Transcribed Image Text:## Understanding Magnetic Flux and Coil Orientation When you position a wire coil such that the plane of the coil is perpendicular to a magnetic field \(\vec{B}\), you are setting up a scenario to observe changes in magnetic flux. ### Part A: Magnetic Flux Change Analysis **Scenario**: If the magnitude of \(\vec{B}\) increases while its direction remains unchanged, how will the magnetic flux through the coil change? **Options** (Check all that apply): 1. **The flux is unchanged because the position of the coil with respect to \(\vec{B}\) is unchanged.** 2. **The flux increases because the magnitude of \(\vec{B}\) increases.** 3. **The flux decreases because the magnitude of \(\vec{B}\) increases.** 4. **The flux is unchanged because the surface area of the coil is unchanged.** ### Key Concepts - **Magnetic Flux (\(\Phi\))**: It is calculated as the product of the magnetic field (\(\vec{B}\)), the area of the coil (\(A\)), and the cosine of the angle (\(\theta\)) between them. When the coil is perpendicular to \(\vec{B}\), \(\cos(\theta) = 1\), thus, \(\Phi = B \cdot A\). - **Effect of Increasing \(\vec{B}\)**: Since \(\Phi = B \cdot A\) and \(A\) does not change, an increase in \(\vec{B}\) will result in an increase in \(\Phi\). Understanding these principles is crucial for grasping the fundamentals of electromagnetism and how magnetic fields interact with conductive materials.
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