The two segments of the wire in the figure have equal diameters and equal length

Question

The two segments of the wire in the figure have equal diameters and equal lengths but different resistivities ?1and ?2. Current I passes through this wire.

If the resistivities have the ratio ?2/?1= 9.00, what is the ratio ?V1/?V2 of the potential differences across the two segments of the wire?

The two segments of the wire in the figure have equal diameters and equal lengths but different resistivities p1and p2. Current I passes through this wire. If the resistivities have the ratio p2/p1= 9.00, what is the ratio delta V1/delta V2 of the potential differences across the two segments of the wire?

Explanation / Answer

Here ,

resistance of a wire is given as

R = p*L/A

p is the resisitvity

Now, for same L and A

R1 / R2 = p1 /p2

R1/R2 = 9

Now, for as the current is same in resistances ,

I1 = I2

V1/R1 = V2/R2

V1/V2 = R1/R2

V1/V2 = 9

the ratio of potential drop is 9

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