Determine the resistance to be connected across a and b in given circuit to dissipate maximum power through it.

Engineering

Physics

Ohm Law and Current Basics

Question

7 Ω

5 Ω

3 Ω

4 Ω

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$Eeq. = \frac{\frac{ε_{1}}{r_{1}} + \frac{ε_{2}}{r_{2}}}{\frac{1}{r_{1}} + \frac{\frac{5}{r}}{r_{2}}} = \frac{\frac{0}{r}}{\frac{1}{r} + \frac{1}{2}} = \frac{\frac{5}{r}}{\frac{2 + r}{2 r}}$
$Eeq. = \frac{5 \times 2}{2 + r} = 5 V$ [ ∵ r = 0]
$Req = \frac{r \times 2}{r + 2} = 0$

$Eeq. = \frac{\frac{5}{6} + \frac{5}{6}}{\frac{1}{6} + \frac{1}{6}} = \frac{2 \times \frac{5}{6}}{\frac{2}{6}} = 5 V$
$Req = \frac{6 \times 6}{6 + 6} = 3 Ω$

$For P_{max} in R_{ext}, R_{ext} = R_{int} = 5 Ω$ W

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