An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of the wires are in the ratio of (4/3) and (2/3), then the ratio of the currents passing through the wires will be

Question

Infinity Learn · Accepted Answer

See. figFrom figure VA−$$VB=i1R1=i2R2$$∴ $$i1i2=R2R1$$……………..(1)We$$ know that $$R=$$ρ$$l/$$π$$r2$$ or  R∝$$l/r2So$$, $$R2R1=l2l1$$×$$r12r22Given$$ that $$l1l2=43$$  and  $$r1r2=23$$∴ $$R2R1=34$$×$$232=13$$………………$$(2)From$$ eqs. $$(1) $$8nd$$ (2), we $$geti1i2=13$$

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of the wires are in the ratio of (4/3) and (2/3), then the ratio of the currents passing through the wires will be

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