If the measured potential difference between A and B is 5.4 V, Find the rate of heat production in the ring (above right). Also find the rate of heat production in sections ACB and ADB.
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PLACEHOLDER ANSWER - the question has three answers. A and B are a quarter of the ring apart, so arc ACB has resistance $$r$$ and arc ADB has $$3r$$, in parallel, giving $$\frac{3r}{4}$$. With 3.6 A entering, $$\frac{3r}{4} = \frac{5.4}{3.6} = 1.5\,\Omega$$, so $$r = 2\,\Omega$$. The total rate of heat production is $$5.4 \times 3.6 = 19.44\text{ W}$$, of which ACB produces $$\frac{5.4^2}{2} = 14.58\text{ W}$$ and ADB produces $$\frac{5.4^2}{6} = 4.86\text{ W}$$.