Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio i3i1 of currents in terms of resistances used in the circuit is : [figure]
- r2r1+r3
- r1r2+r3
- r2r2+r3
- r1r1+r2
Answer
(3) r2r2+r3
Solution
r2 and r3 are in parallel, so the potential difference across them is the same:
i2 r2 = i3 r3 and i1 = i2 + i3
i1 = i3 r3r2 + i3 = i3 ( r2 + r3r2 )
i3i1 = r2r2 + r3
Answer: (3)