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How does the resistance of a wire depend on its radius? Explain your answer. - Physics

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Question

How does the resistance of a wire depend on its radius? Explain your answer. 

Answer in Brief

Solution

Resistance of a wire is inversely proportional to the area of cross-section of the wire.

`R ∝ 1/"r"^2 or R prop 1/"a" or R ∝ 1/"𝜋𝑟"^2`

where 'a' is the area of cross-section and r is the radius of wire and R is the resistance. In other words thick wire offers less resistance and thin wire offers more resistance. In thick conductor electrons suffer less collisions.

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Resistance (R)
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Chapter 8: Current Electricity - Exercise 8 (A) 1 [Page 186]

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Selina Physics [English] Class 10 ICSE
Chapter 8 Current Electricity
Exercise 8 (A) 1 | Q 17.1 | Page 186
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