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Current Electricity question

2021 · Q162
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Current Electricity question

2021 · Q162

NEETPhysicsCurrent ElectricityMCQ+4 / −1
Three resistors having resistances r1, r2 and r3 are connected as shown in the given circuit. The ratio i3i1{{{i_3}} \over {{i_1}}}i1​i3​​ of currents in terms of resistances used in the circuit is :

NEET 2021 Physics - Current Electricity Question 29 English
  1. A
    r2r1+r3{{{r_2}} \over {{r_1} + {r_3}}}r1​+r3​r2​​
  2. B
    r1r2+r3{{{r_1}} \over {{r_2} + {r_3}}}r2​+r3​r1​​
  3. C
    r2r2+r3{{{r_2}} \over {{r_2} + {r_3}}}r2​+r3​r2​​
  4. D
    r1r1+r2{{{r_1}} \over {{r_1} + {r_2}}}r1​+r2​r1​​
View written solutionFree

Correct answer: C

I3=I1r2r1+r3{I_3} = {{{I_1}{r_2}} \over {{r_1} + {r_3}}}I3​=r1​+r3​I1​r2​​

I3I1=I1r2(r2+r3)I1=r2r2+r3{{{I_3}} \over {{I_1}}} = {{{I_1}{r_2}} \over {({r_2} + {r_3}){I_1}}} = {{{r_2}} \over {{r_2} + {r_3}}}I1​I3​​=(r2​+r3​)I1​I1​r2​​=r2​+r3​r2​​

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