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Three resistance 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 terme of resistances used in the circuit is :

Option: 1

\frac{r_{1}}{r_{2}+r_{3}}


Option: 2

\frac{r_{2}}{r_{2}+r_{3}}


Option: 3

\frac{r_{1}}{r_{1}+r_{2}}


Option: 4

\frac{r_{2}}{r_{1}+r_{3}}


Answers (1)

best_answer

i_{2}r_{2}=i_{3}r_{3} [resistance in parallel]

i_{2}+i_{3}=i_{1}[kirchoff's curret law]

\left ( i_{1}-i_{3} \right )r_{2}=i_{3}r_{3}

i_{1}r_{2}=i_{3}\left ( r_{3}+r_{2} \right )

\frac{i_{3}}{i_{1}}=\frac{r_{2}}{r_{2}+r_{3}}

Posted by

Devendra Khairwa

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