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Referencing the picture of the cylinder above^ PART 1: A resistor is constructed

ID: 1332048 • Letter: R

Question

Referencing the picture of the cylinder above^

PART 1:

A resistor is constructed by forming a material of resistivity 350000 ?·m into a shape of a hollow cylindrical shell. Suppose a potential difference is applied between the inner and outer surfaces such that the current flows radially outward. The resistivity is 350000 ?·m. Determine the resistance due to a thin cylindrical element with inner radius 2.85 cm and outer radius 2.9 cm and length 9 cm. Answer in units of ?

NOTICE!!!!!!!! - The answer to part 1 is 10764.4 ohms

PART 2:

Find the total resistance R. Answer in units of M ?. <-- The actual problem!!!!!

Explanation / Answer

R = rho*L/A

A = pi*(b^2-a^2)

b = outer radius = 2.9 x 10^-2 m

a = inner radius = 2.85 x 10^-2 m

R = 350000*9x10^-2/pi(2.9^2 - 2.85^2)

R = 34.88 Mohm

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