Question

An electric current of \(2\,A\) passes through a wire of resistance \(25\,\Omega\). How much heat will be generated in \(1\,min\)?

• A. \(6 \times 10^3 \,J\)
• B. \(3.6 \times 10^3 \,J\)
• C. \(0.6 \times 10^3 \,J\)
• D. \(0.36 \times 10^3 \,J\)

Hint:

Use \( H = I^2Rt \) for electrical heating problems.

Answer 1

The Correct Option is A

Concept: Heat produced: \[ H = I^2Rt \]

Step 1: Substitute values.
\[ I = 2A, \quad R = 25\Omega, \quad t = 60s \] \[ H = (2)^2 \cdot 25 \cdot 60 = 4 \cdot 25 \cdot 60 = 6000J \] \[ = 6 \times 10^3 J \]