l vodafone TR 4G 21:00 a session.masteringphysics.com C e hw5 3dts A rectangular

Question

l vodafone TR 4G 21:00 a session.masteringphysics.com C e hw5 3dts A rectangular solid made of carbon has sides of lengths 1.0 cm, 2.0 cm, and 4.0 cm, lying along the z, y, and z axes, respectively (the figure). Assume the resistivity is 2.7x10" . m . Determine the resistance for current that passes through the solid in -Part A the r direction Express your answer using two significant figures Part B the y direction Express your answer using two significant figures. *Part C the z direction. Express your answer using two significant figures. Provide Feedback

Explanation / Answer

Given,

dimensions : 1cm, 2cm, 4cm ; rho = 2.7 x 10^-5

We know that,

R = rho L/A

a)along the x:

Lx = 1 cm ; A = 2 x 4 cm^2

R = 2.7 x 10^-5 x 0.01/(0.02 x 0.04) = 3.38 x 10^-4 Ohm

Hence, R = 3.38 x 10^-4 Ohm

b)along y

Ly = 2 cm ; A = 1 x 2 cm^2

R = 2.7 x 10^-5 x 0.02/(0.04 x 0.01) = 1.35 x 10^-3 Ohm

Hence, R = 1.35 x 10^-3 Ohm

c)along z

Lz = 4 cm ; A = 1 x 2 cm^2

R = 2.7 x 10^-5 x 0.04/(0.02 x 0.01) = 5.4 x 10^-3 Ohm

Hence, R = 5.4 x 10^-3 Ohm

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