- #1

Jakarto

- 11

- 0

## Homework Statement

We are given that R1 = 15.0 Ω, R2 = 10.0 Ω, and R3 = 8.00 Ω. What is the current and direction of the current through each resistor? Again, I have no idea how to do this, I got my answer from chegg, but I don't know if this is correct.

## Homework Equations

V = IR[/B]

## The Attempt at a Solution

Using Kirchoff's rules , for the loop ADCBA, starting from D, we have:

(-10ohm * i1) + (10V) - 15ohm(i1+i2) +(20V) = 0[/B]

(25ohm * i1) + (15ohm * i2) = 30V

(5 * i1) +(3 * i2) = 6 to the -(i) direction ?

Now, applying Kirchoff to DCFED, starting from D:

(-10ohm * i1) + (10V) + (8ohm * i2) = 0

(10ohm * i1) - (8ohm * i2) = 10V

(5 * i1) - (4 * i2) = 5V to the -(ii) direction ?

After solving, we get:

i1 = 1.14A for R2?

i2 = 0.142A for R3?

i3 = 1.256A for R1?

Are the currents and directions correct? If not, can you tell me what the direction is at least?