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The resistance \( R \) of the wire is \( 0.003 \, \Omega \), rounded to three decimal places.

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Here are 5 related questions to explore:
1. How does changing the diameter \( d \) affect the resistance of the wire?
2. What units are associated with the constant \( k \) in the resistance formula?
3. How does the resistance change if the wire's length is different from 1 meter?
4. How would the resistance change if the material of the wire changes, affecting \( k \)?
5. What is the relationship between resistance and resistivity in electrical conductors?

**Tip**: Always double-check unit consistency in physics problems, especially when dealing with very small or very large numbers!

In a microwave receiver circuit, the resistance R of a wire 1 m long is given by R = k / d^2, where d is the diameter of the wire. Find R if k = 0.000000002091 Ω·m² and d = 0.0007805 m.

Learn how to calculate the resistance of a wire in a microwave receiver circuit using the formula R = k / d^2. Given k = 0.000000002091 Ω·m² and d = 0.0007805 m, find the resistance R. This problem covers concepts in physics and electrical resistance.

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