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A copper wire is used in a coil because ...

A copper wire is used in a coil because of its:

A

Small resistance

B

High conductivity

C

High resistance

D

Availability

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The correct Answer is:
To determine why a copper wire is used in a coil, we can analyze the properties of copper and its electrical characteristics. ### Step-by-Step Solution: 1. **Understanding Resistance**: The resistance \( R \) of a wire is given by the formula: \[ R = \frac{\rho L}{A} \] where \( \rho \) is the resistivity of the material, \( L \) is the length of the wire, and \( A \) is the cross-sectional area. 2. **Properties of Copper**: Copper has a low resistivity compared to many other materials. This means that for a given length and cross-sectional area, a copper wire will have a lower resistance. 3. **Conductivity Relation**: Conductivity \( \sigma \) is the inverse of resistivity: \[ \sigma = \frac{1}{\rho} \] Since copper has a low resistivity, it has a high conductivity. 4. **Implications of High Conductivity**: High conductivity allows electricity to flow easily through the copper wire. This is crucial for applications such as coils, where efficient current flow is necessary. 5. **Availability and Practicality**: Copper is also widely available and relatively easy to work with, making it a practical choice for wiring and coils. 6. **Conclusion**: Therefore, the primary reason copper wire is used in a coil is due to its high conductivity, which allows for efficient electrical transmission. ### Final Answer: Copper wire is used in a coil because of its **high conductivity**.

To determine why a copper wire is used in a coil, we can analyze the properties of copper and its electrical characteristics. ### Step-by-Step Solution: 1. **Understanding Resistance**: The resistance \( R \) of a wire is given by the formula: \[ R = \frac{\rho L}{A} \] ...
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