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(a) A thin film of carbon, shaped as shown in the drawings, is to be used as a r

ID: 2156049 • Letter: #

Question

(a) A thin film of carbon, shaped as shown in the drawings, is to be used as a resistor. Conducting wires are connected to opposite faces. For which arrangement will the resistance of the film be greatest?



(b) A thin film of carbon is used as a resistor, with conducting wires connected between opposite faces as in drawing A above. The length l of the film is 0.0100 m, the width w is 0.00628 m, and the film is to have a resistance of 500. ?.


Calculate the required thickness t of the film. (The resistivity for carbon is 3.5x10-5?m.)



*Please show all your work and reasoning. Thanks!


Explanation / Answer

a).R is inversely proportional to the area of cross section thus for A the resistance will be larger b).500=3.5*10^-5*0.01/(0.00628*t) t=1.11*10^-7 m