A current of 16 A is distributed in a circuit having two branches when connected on 220 V supply. If the resistance of one branch is `20 Omeg`, then what is the resistance of other branch and power taken by both the branches.

Options

A. `44 Omega` and 3520 W
B. `50 Omega` and 3000 W
C. `20 Omega` and 2000 W
D. `26 Omega` and 2320 W

Answer

A

Explanation

Equivalent resistance, `R_(eq)=(20xx R)/(20+R)`
Apply V = IR
`rArr " " 220 =16xx(20xx R)/(20+R)`
or `" " 20xx220+R xx 220 = 320 R`
`rArr " " (20xx220)/(100)=R`
or `" " R= 44 Omega`
Power, P = VI
`= 220xx16=3520 W`