A potential difference (V) is applied for time (t) across the heating element of an electric geyser having a resistance (R). Which of the following is the correct relation between heat produced (H) in the geyser coil in terms of V, t, and R?
Correct Answer:
A.
Explanation:
According to Joule's law of heating, the heat produced (H) in a conductor is directly proportional to the square of the current (I), the resistance (R), and the time (t) for which the current flows, expressed as H = I^2Rt. By applying Ohm's law, where current is defined as the ratio of potential difference to resistance (I = V/R), we can substitute this into the original formula. This substitution results in H = (V/R)^2 * Rt, which simplifies to H = (V^2 * t) / R. Consequently, the relationship between heat produced, voltage, time, and resistance is determined by the square of the voltage multiplied by time, divided by the resistance.
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