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    A steady current I flows through an appliance of resistance R. The amount of heat produced by it in time t is:
    Question

    A steady current I flows through an appliance of resistance R. The amount of heat produced by it in time t is:

    A.

    I^2 Rt

    B.

    (It)/R

    C.

    IRt

    D.

    (I^2 t)/R

    Correct option is A

     Correct Option :  (a)  I2Rt I^2 Rt

    The amount of heat produced by an appliance with resistance ( R ) when a steady current ( I ) flows through it for a time ( t ) can be calculated using Joule's law of heating.
    The formula for the heat produced is:

    H=I2RtH = I^2 R t

     - (H) is the heat produced (in joules),
    - (I) is the current (in amperes),
    - (R) is the resistance of the appliance (in ohms),
    - (t) is the time the current flows (in seconds).

    Information Booster : 

    • ​The heat produced in a resistor is directly proportional to the square of the current (I2I^2I2), the resistance (RRR), and the time (ttt).
    • This formula is derived from the power equation P=I2RP = I^2 RP=I2R and then multiplying by time ttt to find the total energy (heat) produced: 

     H=P×t=(I2R)×t=I2Rt​

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