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Resistance of 20ohm, 20ohm and 30ohm are connected in parallel.what resistance must be added in series with the combination to obtain a total resistance of 10ohm.if the complete circuit expands a power of 0.36KW, Find the total current flowing. (Ans 2.5ohm , 6A)
Asked by unshad786 | 13 Sep, 2019, 12:24: PM
answered-by-expert Expert Answer
T h e space e f f e c t i v e space r e s i s tan c e space f o r space t h e space r e s i s tan c e s space c o n n e c t e d space i n space p a r a l l e space i s 1 over R equals 1 over 20 plus 1 over 20 plus 1 over 30 1 over R equals fraction numerator 3 plus 3 plus 2 over denominator 60 end fraction R equals 60 over 8 equals 15 over 2
Now a resistance of magnitude lets say R is connected in series. So effective resistance is given by
R subscript e f f end subscript equals 15 over 2 plus R
But we have been provided the effective resistance of the circuit which is equal to 10 ohm
Therefore
15 over 2 plus R equals 10 R equals 2.5 space o h m
 
Power is given by
P equals V I o r P equals I squared R
 
P equals 0.36 K W P equals 360 W 360 equals I squared cross times 10 I equals 6 A
Answered by Utkarsh Lokhande | 13 Sep, 2019, 12:49: PM

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