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A certain network N feeds a load resistance R as shown in the Fig. (a) It consumes a power of P W. If an identical network is added as shown in Fig. (b) then power consumed by R will be
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- less than P
- equal to P
- between P and 4P
- more than 4P
Correct Option: C
Let network N contains a resistance R and voltage V, then Fig. (a) is redrawn as below.
and P = | ![]() | ![]() | 2 | = | ||||
2R | 4R |
Now, redrawing Fig. (b), we have
power dissipated in R = P = V (2I)2 R
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P' = | ![]() | ![]() | 2 | R = | = | P | ||||
3R | 9R | 9 |
Hence, P < P' < 4P