Question

Find the current through each resistor using Kirchhoff's rules. Express your answers using two significant figures separated by commas.?

Answer 1

The answer is `=(0.99,0.31,0.68,0.31)`

Explanation:

The sum of `R_2` and `R_4` is

`R_2+R_4=6.9+10=16.9Omega`

`1/R=1/R_3+1/(R_2+R_4)=1/7.6+1/16.9=0.191`

`R=1/0.191=5.24Omega`

`R_1+R=13+5.24=18.24Omega`

`I_1=E/(R_1+R)=18/18.24=0.99A`

`I_1=I_2+I_3`

`I_2=I_4`

`E=I_1R_1+I_1R`

`U_(AB)=I_1R=18-0.99*5.24=5.17V`

`I_3=5.17/R_3=5.17/7.6=0.68A`

`I_2=I_4=5.17/(R_2+R_4)=0.31A`

The answer is `=(0.99,0.31,0.68,0.31)`