The rectangular block below has front-face dimensions of 10 cm by 4 cm, with a d

Question

The rectangular block below has front-face dimensions of 10 cm by 4 cm, with a depth of 3 cm.(Figure 1) You will be asked to treat this object as an electrical resistor.

Rank the block based on its electrical resistance along the three illustrated coordinate directions (x, y, and z).

Rank from largest to smallest. To rank items as equivalent, overlap them.

PART B:

If all of the dimensions of the block double (to become 20 cm wide, 8 cm tall, and 6 cm deep), what happens to the resistance along each axis?

The resistance quadruples. The resistance doubles. The resistance stays the same. The resistance is halved. The resistance is quartered.

Explanation / Answer

R = rho L/A

so along y R = rho 10/12 = 10/12 rho

along x, R = rho 3/40

along z, R = rho 4/30

so y>z>x

b) so L will double but A will quadruple so

resistance will be halved

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