Three resistors having resistances r 1 , r 2 and r 3 are connected as shown in the given circuit. The ratio i 3 i 1 of currents in terms of resistances used in the circuit is : NEET 2021

Potential difference between B and C , V B C = i 3 r 3 = i 1 × r 2 r 3 r 2 + r 3 ⇒ i 3 = i 1 × r 2 r 2 + r 3

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PhysicsCurrent ElectricityEquivalent ResistanceEasy2 minPYQ_2021

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Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :

NEET 2021

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Answer:

Solution:

Potential difference between $B$ and $C$ ,

$V_{B C} = i_{3} r_{3} = i_{1} \times \frac{r_{2} r_{3}}{r_{2} + r_{3}}$

$\Rightarrow i_{3} = i_{1} \times \frac{r_{2}}{r_{2} + r_{3}}$

Stream:NEETSubject:PhysicsTopic:Current ElectricitySubtopic:Equivalent Resistance

⏱ 2mℹ️ Source: PYQ_2021

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