State three factors on which the resistance of a wire depends. Explain how does the resistance depend on the factors stated by you.

The factors on which the resistance of a wire depend are —

1. The length of the wire — The number of collisions suffered by the moving electrons will be more if they have to travel a longer distance in a wire, therefore a long wire offers more resistance than a short wire (i.e., resistance of a wire is directly proportional to the length of the wire).
2. The area of cross section of wire — In a thick wire, electrons get a larger area of cross section to flow as compared to a thin wire, therefore, a thick wire offers less resistance (i.e., resistance of wire is inversely proportional to the area of cross section of the wire).
3. The temperature of the wire — If the temperature of the wire increases, ions in it vibrate more violently. As a result, the number of collisions increases and hence the resistance of wire increases (i.e., the resistance of the wire increases with the increase in it's temperature.