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Resistors `P , Q , and R` in the circuit have equal resistances. If the battery is supplying a total power of `12 W` , what is the power dissipated as heat in resistors `R`? A. `2 W`B. `6 W`C. `3 W`D. `8 W` |
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Answer» Correct Answer - A Let resistors `P, Q , and R` have resistance `r`. The effective resistance across the source is `R_(eff) = r || r = r + (( r ) ( r ))/( r + r) = r + ( r ) /(2) = ( 3 r) /(2)` Current drawn from source is `I_(s)^(2) R_(eff) = 12` or `I_(s) = sqrt((12)/(R_(eff))) = sqrt((8)/(r )) A` Since `Q and R` have equal resistance `r`, each draws a current of `I` , which is given by `I = (1)/(2) I, sqrt((2)/( r ))r = 2 W` |
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