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    A 10 resistor is connected across a battery. The heat produced in the resistor in 5 seconds is 200 J. the potential difference across the resistor is:
    Question

    A 10 resistor is connected across a battery. The heat produced in the resistor in 5 seconds is 200 J. the potential difference across the resistor is:


    A.

    40 V

    B.

    30 V


    C.

    20 V


    D.

    10 V


    Correct option is C

    The correct answer is (C)  20 V

    Given:

    H = 200 J

    R = 10 Ω

    T = 5 seconds

    Formula used:

    H = I2I^2 ×RT​

    Where,

    • H is the heat produced (in joules),
    • III is the current (in amperes),
    • RRR is the resistance (in ohms),
    • ttt is the time (in seconds).

    H = V2R \frac{V^2}{R} t

    200 = 5V210 \frac{5V^2}{10}

    400 = V2V^2

    V = 20 V

    The potential difference across the resistor is 20 V.​

    ​​

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