pls solve

Asked by sulaikhasulu393 | 29th Apr, 2020, 05:17: PM

Expert Answer:

Consider Wheatstone Bridge PQRS as shown in figure, 
Ratio of heat generated in four arms PQ, QR, PS and SR 
 
 
R subscript 1 space equals space 10 space capital omega space
R subscript 2 equals space 20 space capital omega space
R subscript 3 space equals space 20 space capital omega space
R subscript 4 equals space 40 space capital omega space

B y space b a l a n c e space c o n d i t i o n space o f space w h e a t s t o n e space b r i d g e comma space

R subscript 1 over R subscript 2 space equals space R subscript 3 over R subscript 4 space

F r o m space g i v e n space d a t a comma space R subscript 1 over R subscript 2 space equals space 1 half
R subscript 3 over R subscript 4 space equals space 1 half

H e n c e comma space w h e a t s t o n e space b r i d g e space i s space b a l a n c e d. space
I subscript 1 space a n d space I subscript 2 space a r e space t h e space c u r r e n t s space f l o w i n g space P Q space a n d space P S space r e s p e c t i v e l y. space
T h u s comma space P. D. space a c r o s s space P space a n d space Q space w i l l space b e space e q u a l space P. D space a c r o s s space P space a n d space S space
H e n c e comma space

I subscript 1 space cross times R subscript 1 space equals space space I subscript 2 space cross times space R subscript 2 space
rightwards double arrow space I subscript 1 space cross times 10 space equals space space space I subscript 2 space cross times space 20 space
rightwards double arrow I subscript 1 space end subscript equals space 2 space I subscript 2 space

T h u s comma space h e a t space g e n e r a t e d space i n space P Q space i s space g i v e n space b y space J o u l e apostrophe s space l a w space o f space h e a t i n g comma space

H subscript 1 space equals space I subscript 1 superscript 2 space cross times space 10 space t equals space 40 space I subscript 2 superscript 2 space t space J space space.... space left parenthesis 1 right parenthesis space

H e a t space i n space a r m space Q R space i s comma space
H subscript 2 space equals space I subscript 1 superscript 2 space cross times space 20 space t equals space 80 space I subscript 2 superscript 2 space t space J.... space left parenthesis 2 right parenthesis space

H e a t space i n space a r m space P S space i s comma space
H subscript 3 space equals space I subscript 2 superscript 2 space cross times space 20 space t equals space 20 space I subscript 2 superscript 2 space t space J.... space left parenthesis 3 right parenthesis space

H e a t space i n space a r m space S R space i s comma space
H subscript 4 space equals space I subscript 2 superscript 2 space cross times 40 space t equals space 40 space I subscript 2 superscript 2 space t space J.... space left parenthesis 4 right parenthesis space

T a k i n g space r a t i o space o f space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis comma space left parenthesis 3 right parenthesis space a n d space left parenthesis 4 right parenthesis comma space w e space g e t comma space
H subscript 1 space colon space H subscript 2 space colon space H subscript 3 space colon space H subscript 4 space equals space 40 space I subscript 2 superscript 2 space t space colon 80 space I subscript 2 superscript 2 space t space colon space 20 space I subscript 2 superscript 2 space t space colon 40 space I subscript 2 superscript 2 space t space equals space 2 colon 4 colon 1 colon 2
H e n c e comma space H subscript 1 space colon space H subscript 2 space colon space H subscript 3 space colon space H subscript 4 space equals space space 2 colon 4 colon 1 colon 2




 
Option (3) is correct

Answered by Shiwani Sawant | 29th Apr, 2020, 06:53: PM