Find the equivalent resistance across wire A and B

Asked by ashicomputers | 7th May, 2020, 10:32: PM

Expert Answer:

find equivalent resistance across the two ends a and b of this circuit : - 
 
R e s i s tan c e space R subscript 1 space a n d space R subscript 2 space a r e space i n space p a r a l l e l space
T h u s comma space
1 over R subscript 12 space equals space 1 half plus 1 half space equals space 1 space capital omega space
R e s i s tan c e space R subscript 3 space a n d space R subscript 4 space a r e space i n space p a r a l l e l space
1 over R subscript 34 space equals space 1 half plus 1 half space equals space 1 space capital omega space space

S i m i l a r l y comma space R subscript 56 space equals space 1 capital omega space a n d space R subscript 78 space equals space space 1 space capital omega space space
T h r o u g h space c i r c u i t space d i a g r a m comma space

R subscript 12 space a n d space R subscript 34 space a r e space c o n n e c t e d space i n space s e r i e s comma space
T h u s comma space
1 over R subscript 1234 space equals space R subscript 12 space plus R subscript 34 space space equals space 1 space plus space 1 space equals 2 space capital omega

N o w comma space space R subscript 56 space space a n d space R subscript 78 space a r e space i n space s e r i e s space
T h u s comma space
1 over R subscript 5678 space equals space 1 space plus space 1 equals space 2 space capital omega space

N o w comma space
R subscript 1234 space a n d space R subscript 5678 space a r e space i n space p a r a l l e l space c o m b i n a t i o n
T h u s comma space
1 over R subscript e q end subscript space equals 1 over R subscript 1234 space space plus space 1 over R subscript 5678 space equals space 1 half space plus 1 half space equals 1 capital omega space

E q u i v a l e n t space r e s i s tan c e space o f space c i r c u i t space space i s space 1 capital omega space


space

Answered by Shiwani Sawant | 8th May, 2020, 12:29: AM