7. Two wires of the same length and the same resistivityare connected

1.	7. Two wires of the same length and the same resistivityare connected in parallel. Find the ratio of their areas ofcross section if the ratio of their electrical resistancesis 4:3
Answer» 1:4 The resistance of a wire of length l and CROSS section AREA A is given by, R=ρ(l/A). So R2R1=l2l1A1A2=14. Now current through a wire is i ∝ 1/R. ∴i2i1 = R1R2 = 41 If their ENDS have the same POTENTIAL differences then currents through them will be in the ratio of 1:4.

7. Two wires of the same length and the same resistivityare connected in parallel. Find the ratio of their areas ofcross section if the ratio of their electrical resistancesis 4:3

Answer»

1:4

The resistance of a wire of length l and CROSS section AREA A is given by,

R=ρ(l/A).

R2R1=l2l1A1A2=14.

Now current through a wire is i ∝ 1/R.

∴i2i1 = R1R2 = 41

If their ENDS have the same POTENTIAL differences then currents through them

will be in the ratio of 1:4.

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7. Two wires of the same length and the same resistivityare connected in parallel. Find the ratio of their areas ofcross section if the ratio of their electrical resistancesis 4:3​

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7. Two wires of the same length and the same resistivityare connected in parallel. Find the ratio of their areas ofcross section if the ratio of their electrical resistancesis 4:3