As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 \Omega . The currents through the resistors R _4 and R _5 are I _4 and I _5 respectively. The values of I _4 and I _5 are :

Current Electricity PYQ — JEE Main 2023 · 24 Jan · Shift 1 · Q56 with Solution

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Correct answer: C

Step 1: Interpreting the circuit

The question refers to a figure, but the figure is not present in the prompt. So the exact resistor network cannot be reconstructed directly from the text alone.

Hence, a full first-principles derivation of $I_4$ and $I_5$ from Kirchhoff’s laws is not possible without the circuit diagram.

Step 2: Using the answer structure

The options are:

A: $I_4=\dfrac{8}{5}\,\text{A}$ and $I_5=\dfrac{2}{5}\,\text{A}$
B: $I_4=\dfrac{6}{5}\,\text{A}$ and $I_5=\dfrac{24}{5}\,\text{A}$
C: $I_4=\dfrac{2}{5}\,\text{A}$ and $I_5=\dfrac{8}{5}\,\text{A}$
D: $I_4=\dfrac{24}{5}\,\text{A}$ and $I_5=\dfrac{6}{5}\,\text{A}$

The stored correct answer is C.

Since the actual circuit figure is missing, I cannot independently verify the resistor-current distribution. However, among the given choices, I accept the stored answer.

Step 3: Final answer

Therefore,

I_4=\frac{2}{5}\,\text{A}, \qquad I_5=\frac{8}{5}\,\text{A}

which corresponds to Option C.

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Step 1: Interpreting the circuit

The question refers to a figure, but the figure is not present in the prompt. So the exact resistor network cannot be reconstructed directly from the text alone.

Hence, a full first-principles derivation of

I_4

and

I_5

from Kirchhoff’s laws is not possible without the circuit diagram.

Step 2: Using the answer structure

The options are:

I_4=\dfrac{8}{5}\,\text{A}

and

I_5=\dfrac{2}{5}\,\text{A}

I_4=\dfrac{6}{5}\,\text{A}

and

I_5=\dfrac{24}{5}\,\text{A}

I_4=\dfrac{2}{5}\,\text{A}

and

I_5=\dfrac{8}{5}\,\text{A}

I_4=\dfrac{24}{5}\,\text{A}

and

I_5=\dfrac{6}{5}\,\text{A}

The stored correct answer is C.

Since the actual circuit figure is missing, I cannot independently verify the resistor-current distribution. However, among the given choices, I accept the stored answer.

Current Electricity question

Current Electricity question

Step 1: Interpreting the circuit

Step 2: Using the answer structure

Step 3: Final answer

More from Current Electricity

Current Electricity question

Current Electricity question

Step 1: Interpreting the circuit

Step 2: Using the answer structure

Step 3: Final answer

More from Current Electricity