How Do I Solve a Parallel Circuit Problem?

[fcb]

Homework Statement

Homework Equations

V=IR and What not

The Attempt at a Solution

I have attempted it many different ways
I need your help, I have preliminary exams coming up, Please do me a favour.

Regards, FCB

 

[rl.bhat]

Show at least one attempt.

 

[fcb]

ok so we have 5 ohm and 20 ohm , in parallel, which are both in series with 50ohm

now for equivalent resistance in parallel

1 / R eq= 1/R1 + 1/R2

ie R eq= R1 * R2 / ( R1+R2)

therefore we have ( 4ohm in series with 50 ohm)

then R eq= 54ohm ( add them when in series )

then apply v=IR to get total current in circuit

I= V/R
= 12 / 54

now when this current gets to the section where it splits in two, the current is divided and the majority of current goes throguh the least resistance

current through 5ohm = 20 / ( 25) * 12 / 54
current through 20ohm = 5 / ( 25) * 12/54

 

[rl.bhat]

Your calculations are correct.