Physics Current Electricity MDCAT 2008
PMDC Verified Question 112 of 112
The heat produced by a current \(I\) in the wire of resistance \(R\) during time interval \(t\) is
A
\( \text{I}^2/\text{Rt} \)
B
\( \text{I}^2/\text{R}/\text{t} \)
C
\( \text{I}^2\text{Rt} \)
D
\( \text{IR}^2\text{t} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( \text{I}^2\text{Rt} \)
Concept:

The electrical energy dissipated as heat in a resistor is governed by Joule's Law of heating.

Formula:

$$ H = I^2Rt $$

Solution:

  • According to Joule's law, heat produced is directly proportional to the square of the current, the resistance, and the time the current flows.


  • Therefore, \( H = I^2Rt \).


Why other options are incorrect:

  • Opt A & B: Dimensionally incorrect; these represent expressions that do not yield energy (Joules).


  • Opt D: Places the square on resistance instead of current, which contradicts \( P = I^2R \).

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