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Question 2 of 10

What happens to the resistance of a wire as its length increases?

A. The resistance is not affected by a change in wire length.

B. The resistance decreases.

C. The resistance alternates between high and low values.

D. The resistance increases.

User Dmitris
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2 Answers

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Answer: The resistance increases.

Explanation: A wire's resistance is directly proportional to its length. This implies that as a wire's length increases, so does its resistance. The following formula describes this relationship:

R = ρ (L/A)

where L is the wire's length, A is its cross-sectional area, R is the wire's resistance, and ρ is the wire material's resistivity.

This formula shows that the resistance will rise when the wire's length is extended while its cross-sectional area remains the same. On the other hand, if we shorten the wire, the resistance will rise. As a result, choice D is the right response.

User Avimoondra
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7 votes

Answer:

D. resistance increases

Step-by-step explanation:

The relationship between resistance and wire length is directly proportional, meaning the longer the wire the greater the resistance.

User Tim Woocker
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8.6k points