CBSE Class 12-science Answered
Find the current in each resistor
![question image](http://images.topperlearning.com/topper/new-ate/232889IMG20210720WA0011.jpg)
Asked by najeeb.razvi | 09 Aug, 2021, 18:45: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/d05f728a8f3145db7e6d3b332aac3ee961113f89813d81.58056085f4.png)
In the given circuit R1 and R4 are in series .
Hence Equivalent resistance R7 = 4Ω replaces resistors R1 and R4 in the circuit shown above.
Similarly , in the given circuit, R3 and R5 are in parallel.
Hence Equivalent resistance R6 = 4Ω replaces resistors R3 and R5 in the circuit shown above.
Let us assume the current distribution as shown in figure.
If we apply Kirchoff's voltage law to the loop ABEFA , we get
4
1 + 4
3 + 2 = 2 or
1 = -
3 ............................ (1)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
If we apply Kirchoff's voltage law to the loop BCDEB , we get
4
1 + 4
2 + 2 = 2 or
1 = -
2 ...........................(2)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
At node B , if we apply Kirchoff's current law , we get
1 =
2 +
3 ...............................(3)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
From equations (1), (2) and (3) , we get ,
1 =
2 =
3 = 0
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
![begin mathsize 16px style i end style](https://images.topperlearning.com/topper/tinymce/cache/28c2b82886c949da2ad6cb15ac09fa07.png)
Hence current through all resistors is zero
Answered by Thiyagarajan K | 09 Aug, 2021, 20:33: PM
Concept Videos
CBSE 12-science - Physics
Asked by mailtoanjalip2005 | 16 Mar, 2024, 20:22: PM
CBSE 12-science - Physics
Asked by nikhilsai2616 | 19 Nov, 2023, 01:05: AM
CBSE 12-science - Physics
Asked by snehashiragannavar773 | 21 Oct, 2023, 14:38: PM
CBSE 12-science - Physics
Asked by komalbrar0987 | 17 May, 2023, 18:15: PM
CBSE 12-science - Physics
Asked by nudratnigar | 10 May, 2022, 12:02: PM
CBSE 12-science - Physics
Asked by divyabharti14042004 | 18 Jan, 2022, 14:52: PM
CBSE 12-science - Physics
Asked by carthi66 | 11 Nov, 2021, 14:49: PM
CBSE 12-science - Physics
Asked by umeshts142 | 13 Oct, 2021, 08:14: AM
CBSE 12-science - Physics
Asked by najeeb.razvi | 09 Aug, 2021, 18:45: PM