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Please find current and junction potential

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Asked by ashutosh25807 22nd February 2018, 11:35 AM
Answered by Expert
Answer:
 
The given diagram in the question is redrawn by replacing the potential differences with the battery of same value

begin mathsize 12px style F o r space t h e space l o o p space A comma space w e space c a n space w r i t e space space space space space 4 left parenthesis i 1 plus i 2 right parenthesis plus open parentheses i 1 plus i 4 close parentheses space equals space 3
f o r space t h e space l o o p space B. space w e space c a n space w r i t e space space space space 4 open parentheses i 1 plus i 2 close parentheses minus 3 open parentheses i 3 minus i 2 close parentheses space equals 1
f o r space t h e space l o o p space C comma space w e space c a n space w r i t e space comma space 3 left parenthesis i 3 minus i 2 right parenthesis space minus space 2 left parenthesis i 4 minus i 3 right parenthesis space equals space 1
f o r space t h e space l o o p space D comma space w e space c a n space w r i t e comma space 2 left parenthesis i 4 minus i 3 right parenthesis space plus space left parenthesis i 1 plus i 4 right parenthesis space equals space 1

b y space s o l v i n g space t h e space a b o v e space 4 space e q u a t i o n s comma space w e space g e t space
left parenthesis i 1 plus i 2 right parenthesis space equals space 13 over 25 space space semicolon space space space left parenthesis i 3 minus i 2 right parenthesis space equals space 9 over 25 space semicolon space space space left parenthesis i 4 minus i 3 right parenthesis space equals space 1 over 25 space semicolon space left parenthesis i 1 plus i 4 right parenthesis space equals space 23 over 25 end style
 
if we use these currents and calculate the potential drop across each resistance, we can find the junction potential as (23/25)V

 

Answered by Expert 23rd February 2018, 1:11 PM
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