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Three 2 Omega reistors , A,B and C, are ...

Three `2 Omega` reistors , `A,B and C`, are connected as shown in (Fig. 3.44). Each of them dissipates energy and can withstand a maximum current that can flow through the three resistors ?
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Text Solution

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As `P = I^2 R, I = sqrt((P)/(R ))`
Thus, maximum current that can flow through `2 Omega` resistor (rating 18 W), `I = sqrt((18 W)/(2 Omega)) = 3 A`.
Since resistor `B (= 2 Omega)` and resistor `C(= 2 Omega)` are in parallel, and the current through their combination, which is in series with resistor `A(= 2 Omega)` is also `3 A`, current through `B and C` (having equal resistance and in parallel) `= (3 A)/(2) = 1.5 A`.
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