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NEET Class neet Answered

the electrical resistance of a certain wire of Aryan is are if length and radius both are double then
Asked by mohitsisodia612 | 19 Mar, 2024, 09:21: PM
answered-by-expert Expert Answer

Resistance R of wire is directly proportional to length L and inversely proportional to cross section area A.

R = ρ × ( L/A)

where ρ is resistivity of material.

If area of cross section is doubled , then cross section area is increaed by 4 times.

Hence new resistance Rnew if length and radius of cross section are doubled , then we get

Rnew  = ρ × [ ( 2L) / ( 4A) ] = (1/2) ρ × ( L/A) = (1/2) R

Hence by doubling the length and radius of cross section , new resistance decreases to half of its initial value

Answered by Thiyagarajan K | 19 Mar, 2024, 11:13: PM
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