5. A 1.2 m long conductor is made of a mixture (i.e. alloy) of different materials. The resistivity of this conductor varies as a function of the distance from one end as p(x) = ax' +bx+c, where a, b, and c are positive constants. Given the resistivity at p(x=0) =1.5X10"2m, p(x=0.3 m) = 3.05X10°2m, p(x=1.2 m) =8.26X10°2m, and given the radius of the conductor is 0.023 m, (a) determine the resistance (R) of the conductor, (b) when the conductor is cut into two halves, what is the resistance of each half of the conductor. x=0 dx x =1.2 m

Elements Of Electromagnetics
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5. A 1.2 m long conductor is made of a mixture (i.e. alloy) of different materials. The resistivity of this
conductor varies as a function of the distance from one end as p(x)= ax' +bx+c, where a, b, and c are
positive constants. Given the resistivity at p(x=0) =1.5X10´2M, p(x= 0.3 m) = 3.05X10°2m,
p(x=1.2 m) = 8.26X10´2m, and given the radius of the conductor is 0.023 m, (a) determine the
resistance (R) of the conductor, (b) when the conductor is cut into two halves, what is the resistance of
each half of the conductor.
x = 0
dx
x =1.2 m
Transcribed Image Text:5. A 1.2 m long conductor is made of a mixture (i.e. alloy) of different materials. The resistivity of this conductor varies as a function of the distance from one end as p(x)= ax' +bx+c, where a, b, and c are positive constants. Given the resistivity at p(x=0) =1.5X10´2M, p(x= 0.3 m) = 3.05X10°2m, p(x=1.2 m) = 8.26X10´2m, and given the radius of the conductor is 0.023 m, (a) determine the resistance (R) of the conductor, (b) when the conductor is cut into two halves, what is the resistance of each half of the conductor. x = 0 dx x =1.2 m
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