Multiple Choice A resistor is constructed by forming a mate- rial of resistivity

Question

Multiple Choice

A resistor is constructed by forming a mate-
rial of resistivity into a shape of a hollow
cylindrical shell of length L with inner radius
ra and outer radius rb. Suppose a potential
difference is applied between the inner and
outer surfaces such that the current flows ra-
dially outward. The resistance R due to a thin cylindrical
element with inner radius r and outer radius
r + r and length L (where, ra < r < rb) is
given by

1. R = (r) / (2pi(rb^2 + ra^2)L)

2. R = (r) / (2pi*ra*L)

3. R = (r) / (pi(ra^2 - rb^2))

4. R = (r) / (2pi(ra^2 - rb^2)L)

5. R = (r) / (2pi*r*L)

Explanation / Answer

5

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