Question 612: Current Electricity

Question

Three resistors having resistances r
1
, r
2
and r
3
are connected as shown in the given circuit. The ratio ${{{i_3}} \over {{i_1}}}$ of currents in terms of resistances used in the circuit is :
![](https://imagex.cdn.examgoal.net/1kw0yj6go/347a77fe-4558-4fcb-9376-300fab59188f/cc331f80-463b-11ec-ba8e-d75275e6cf5d/file-1kw0yj6gp.png)

Accepted Answer

${I_3} = {{{I_1}{r_2}} \over {{r_1} + {r_3}}}$
${{{I_3}} \over {{I_1}}} = {{{I_1}{r_2}} \over {({r_2} + {r_3}){I_1}}} = {{{r_2}} \over {{r_2} + {r_3}}}$

Answer

${{{r_2}} \over {{r_1} + {r_3}}}$

Answer

${{{r_1}} \over {{r_2} + {r_3}}}$

Answer

${{{r_2}} \over {{r_2} + {r_3}}}$

Answer

${{{r_1}} \over {{r_1} + {r_2}}}$

Current Electricity

Three resistors having resistances r 1 , r 2 and r 3 are connected as shown in the given circuit. The ratio {{{i_3}} \over {{i_1}}} of currents in terms of resistances used in the circuit is :

Choose the correct answer: