The two wires in the segment below have the same diameter but different resistivities ?1 and ?2. Current I passes through the wire. If the ratio of resistivities is ?1/?2 = 4, what is the ratio of the electric fields in each wire, E1/E2?
Homework Answers
According to the given problem,
It's quite straightforward.
Since both segments have equal L and area, R1/ρ1 = R2/ρ2
==> R1/R2 = ρ1/ρ2 = 4.
And I = V1/R1 = V2/R2,
where V1= E1L and V2 = E2L
==> V1/V2 = E1/E2 = R1/R2 = ρ1/ρ2 = 4
==> E1/E2 = 4
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