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JEE Main 202324 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2023 · 24 January · Morning Shift · Physics · Current Electricity

As shown in the figure, a network of resistors is connected to a...

As shown in the figure, a network of resistors is connected to a battery of 24V24V with an internal resistance of 3Ω3Ω. The currents through the resistors R4{R}_{4} and R5{R}_{5} are I4{I}_{4} and I5{I}_{5} respectively. The values of I4{I}_{4} and I5{I}_{5} are:

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3Ω . The

Options

  1. AI4=85A{I}_{4} = \dfrac{8}{5}A and I5=25A{I}_{5} = \dfrac{2}{5}A
  2. BI4=245A{I}_{4} = \dfrac{24}{5}A and I5=65A{I}_{5} = \dfrac{6}{5}A
  3. CI4=65A{I}_{4} = \dfrac{6}{5}A and I5=245A{I}_{5} = \dfrac{24}{5}A
  4. DI4=25A{I}_{4} = \dfrac{2}{5}A and I5=85A{I}_{5} = \dfrac{8}{5}A

Correct answer

D. I4=25A{I}_{4} = \dfrac{2}{5}A and I5=85A{I}_{5} = \dfrac{8}{5}A

Step-by-step solution

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3Ω . The

Equivalent resistance of circuit
Req=3+(2×22+2)+2+(20×520+5)+2=12Ω{R}_{eq} = 3 + \left(\dfrac{2 \times 2}{2 + 2}\right) + 2 + \left(\dfrac{20 \times 5}{20 + 5}\right) + 2 = 12Ω

Current through battery i=2412=2Ai = \dfrac{24}{12} = 2A

Now, I4=R5R4+R5×2=520+5×2=25A{I}_{4} = \dfrac{{R}_{5}}{{R}_{4} + {R}_{5}} \times 2 = \dfrac{5}{20 + 5} \times 2 = \dfrac{2}{5}A

and I5=i−I4=2−25=85A{I}_{5} = i - {I}_{4} = 2 - \dfrac{2}{5} = \dfrac{8}{5}A

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