Question
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Solve for \( f \) \( B=9 \pi f \)

Ask by Hanson Davies. in the United States
Jan 22,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( f = \frac{B}{9\pi} \)

Solution

To solve for \( f \) in the equation \( B = 9\pi f \), follow these steps: 1. **Start with the original equation:** \[ B = 9\pi f \] 2. **Isolate \( f \) by dividing both sides of the equation by \( 9\pi \):** \[ f = \frac{B}{9\pi} \] **Final Solution:** \[ f = \frac{B}{9\pi} \]

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Bonus Knowledge

To solve for \( f \) in the equation \( B = 9 \pi f \), you can isolate \( f \) by dividing both sides of the equation by \( 9 \pi \): \[ f = \frac{B}{9 \pi} \] And there you have it! Just plug in any value for \( B \) and calculate \( f \) easily. By understanding the relationship between magnetic flux density \( B \) and frequency \( f \), you can appreciate how it is used in applications like electromagnetic induction and radio waves. This equation highlights how increasing the magnetic flux density \( B \) influences the frequency \( f \) in a linear manner—perfect for circuits and wave propagation scenarios!

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