CBSE Class 10 Answered
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
![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](https://images.topperlearning.com/topper/tinymce/cache/0bd8f52881397ef5b60ea1b49d486446.png)
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](https://images.topperlearning.com/topper/tinymce/cache/afd86bf0b55cff5c060edcf1098137f3.png)
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](https://images.topperlearning.com/topper/tinymce/cache/c02aabcfd0d1f2fd339e51ed9528f16a.png)
Power is given by
![P equals V I
o r
P equals I squared R](https://images.topperlearning.com/topper/tinymce/cache/02797c2235318186f978c6ea3cb59cb4.png)
![P equals 0.36 K W
P equals 360 W
360 equals I squared cross times 10
I equals 6 A](https://images.topperlearning.com/topper/tinymce/cache/ef4c481c4cd4e514ed2cce2745d7d9fc.png)
Answered by Utkarsh Lokhande | 13 Sep, 2019, 12:49: PM
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