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Physics 12 Online
OpenStudy (anonymous):

Wire A has a resistance of 12 ohms. If wire B is twice the length of A and twice the diameter, what is its resistance? ( Assume that both wires are at the same temperature)

OpenStudy (anonymous):

Use the equation; R= rho x Length/ Area

OpenStudy (anonymous):

for the new resistance, R'=rho x 2L/pi (2r)^2 => R'= rho x 2L/4pi r^2 that means R' = R/2

OpenStudy (anonymous):

therefore R'= 6 ohms

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