Two resistors A and B of \(12\ \Omega\) and \(24\ \Omega\) respectively are connected in series with a \(6\text{ V}\) battery. The total heat dissipated in the resistors in 1 second will be ______.
1.0 J
Resistors in series add directly: \(R_{eq} = 12 + 24 = 36\ \Omega\).
Power dissipated by the battery is \(P = \dfrac{V^2}{R_{eq}} = \dfrac{6^2}{36} = 1\text{ W}\). Heat produced in 1 second is \(H = P \cdot t = 1 \times 1 = 1.0\text{ J}\).
Hence, 1.0 J is correct.
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