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

Question

A thin film of carbon, shaped as shown in the drawings, is to be used as a resistor. Conducting wires (shown as yellow lines in the figure) 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/of the film is 0.0100 m. the width w is 0.00628 m, and the film is to have a resistance of 100. Ohm. Calculate the required thickness t of the film.

Explanation / Answer

formula for resistance is

R = rho L/A

= rho L/wt

t =rhoL/Rw

=3.5* 10^-5 ( 0.01)/100(0.00628)

=1.11* 10^-7 m

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