Let's analyze and solve the equation provided in the image step-by-step.

The equation is: $T = \frac{1}{2 \pi \sqrt{\mu C}}$ where $\mu$ and $C$ are given values. Based on the second part of your equation, the specific values seem to be:

• $\mu = 9.3 \times 10^3$
• $C = 10^{-6}$

Now, let’s substitute these values and calculate $T$.

Step 1: Calculate the product inside the square root

$\mu \cdot C = 9.3 \times 10^3 \times 10^{-6} = 9.3 \times 10^{-3}$

Step 2: Take the square root

$\sqrt{9.3 \times 10^{-3}} = \sqrt{9.3} \times \sqrt{10^{-3}}$ $\sqrt{9.3} \approx 3.05, \quad \sqrt{10^{-3}} = 10^{-1.5} = 0.03162$ $\sqrt{9.3 \times 10^{-3}} = 3.05 \times 0.03162 \approx 0.0965$

Step 3: Calculate the denominator $2 \pi \sqrt{\mu C}$

$2 \pi \approx 6.283$ $2 \pi \sqrt{\mu C} = 6.283 \times 0.0965 \approx 0.606$

Step 4: Compute the final value of $T$

$T = \frac{1}{0.606} \approx 1.65$

Final Answer

$T \approx 1.65$

Let me know if you need any further details or have any other questions!

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Here are five questions related to this problem:

1. What physical quantity might this equation represent (e.g., period or frequency)?
2. How does changing $\mu$ or $C$ affect the result?
3. What are the units of $T$ in this case?
4. Can the product $\mu C$ be interpreted physically?
5. How does this result change if $C$ is doubled?

Tip: Always track units carefully in problems like this to avoid confusion!