GIVE THE EFFECTIVE RESISTANCE BETWEEN   A   and   B   ( all resistance in the figure are 16 ohm )

OPTIONS 

1) 1 ohm

2) 2 ohm

3) 3 ohm

4) 4 ohm

Asked by ranjan.rr366 | 27th May, 2019, 09:12: PM

Expert Answer:

sin c e space a l l space r e s i s i tan c e space a r e space o f space 16 space o h m

O n space space e v e r y space s i d e space t h e space r e s i s tan c e s space a r e space c o n n e c t e d space i n space p a r a l l e l
T h e r e f o r e comma
1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plus bold 1 over bold R subscript bold 3
1 over R equals 1 over 16 plus 1 over 16 plus bold 1 over 16
R equals 16 over 3
N o w space t h e s e space t h r e e space 16 over 3 capital omega space a r e space i n space s e r i e s
T h e r e f o r e space t h e space e f f e c t i v e space r e s i s tan c e space w i l l space b e 48 over 3 capital omega
N o w space t h i s space 48 over 3 capital omega space r e s i s tan c e space i s space i n space p a r a l l e l space c o m b i n a t i o space w i t h space 16 over 3 capital omega

1 over R subscript e f f end subscript equals 3 over 48 plus 3 over 16
R subscript e f f end subscript equals 48 over 12 equals 4 capital omega space

Answered by Utkarsh Lokhande | 28th May, 2019, 10:47: AM