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Two unlike cells in series, parallel or opposition with an external resistor: current or terminal voltage

This type of question, asked 4 times: 25 Jan 2023, 30 Jan 2024, 3 Apr 2025, 6 Apr 2026 S2. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jan 2023

    120
    Two cells are connected between points AA and BB as shown. Cell 1 has emf of 12 V12\text{ }V and internal resistance of 3Ω3\Omega. Cell 2 has emf of 6 V6\text{ }V and internal resistance of 6Ω6\Omega. An external resistor R of 4Ω4\Omega is connected across A and B. The current flowing through RR will be ____A.

  2. Question 2

    30 Jan 2024

    22
    Two cells are connected in opposition as shown. Cell E1E_{1} is of 8 V8\text{ }V emf and 2Ω2\Omega internal resistance; the cell E2E_{2} is of 2 V2\text{ }V emf and 4Ω4\Omega internal resistance. The terminal potential difference of cell E2E_{2} is ____\_\_\_\_ V.

  3. Question 3

    3 Apr 2025

    98
    Two cells of emf 1 V and 2 V and internal resistance 2Ω2\Omega and 1Ω1\Omega, respectively, are connected in series with an external resistance of 6Ω6\Omega. The total current in the circuit is I1I_{1}. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is I2I_{2}. The value of (I1I2)\left( \frac{I_{1}}{I_{2}} \right) is x3\frac{x}{3}. The value of xx is .

  4. Question 4

    6 Apr 2026 S2

    24
    Two cells of emfs 1 V and 2 V and internal resistance 2Ω2\Omega and 1Ω1\Omega, respectively connected in parallel, gave current of 1A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be α5 A\frac{\alpha}{5}\text{ }A. The value of α\alpha is ____\_\_\_\_ .