  # Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio i3/i1 of currents in terms of resistances used in the circuit is – (a). r2/ r1 + r3 (b). r1/ r2 + r3 (c). r2/ r2 + r3 (d). r1/ r1 + r2

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Updated on: September 13th, 2023 The given figure is As the resistances r2 and r3 are of parallel combination, the potential difference will be the same across both the resistances.

i2r2 = i3r3

i2 = i3r3/r2 ….. (1)

Similarly

i1 = i2 + i3

i1 = (r3/r2 + 1) i3 [From the equation (1)]

So we get

i3/i1 = r2/ r2 + r3

Therefore, the ratio i3/i1 of currents in terms of resistances used in the circuit is i3/i1 = r2/ r2 + r3

Summary:

## Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio i3/i1 of currents in terms of resistances used in the circuit is – (a). r2/ r1 + r3 (b). r1/ r2 + r3 (c). r2/ r2 + r3 (d). r1/ r1 + r2

Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio i3/i1 of currents in terms of resistances used in the circuit is i3/i1 = r2/ r2 + r3

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