दिए गए परिपथ में प्रतिरोधों \( r_1 \), \( r_2 \) और \( r_3 \) वाले तीन प्रतिरोधक जुड़े हुए हैं। परिपथ में प्रयुक्त प्रतिरोधों के पदों में धाराओं का अनुपात \( \frac{i_3}{i_1} \) है: \( r_1 \)<\text{>\( r_2 \)<\text{>\( r_3 \)<\text{>\( i_1 \)<\text{>\( i_3 \)<\text{>

From the circuit diagram, the current \( i_1 \) splits into two parallel branches containing resistors \( r_2 \) and \( r_3 \). Let the currents in the branches containing \( r_2 \) and \( r_3 \) be \( i_2 \) and \( i_3 \) respectively (where \( i_3 \) is the current through \( r_3 \)). Using the current division rule, the current through resistor \( r_3 \) is given by: \[ i_3 = i_1 ( \frac{r_2}{r_2 + r_3} ) \]\nTherefore, the ratio of currents is: \[ \frac{i_3}{i_1} = \frac{r_2}{r_2 + r_3} \]