Do not forget that we have supposed the directions of the currents, in the final
answer if we get a positive answer, like and the direction we have supposed is true, but
𝐼
1
𝐼
2
if we get a negative answer, like the direction we have supposed is wrong, so we must
𝐼
3
reverse it.
The equation will be changed to:
𝐼
1
= 𝐼
2
+ 𝐼
3
𝐼
2
= 𝐼
1
+ 𝐼
3
Now, it is easy to calculate the voltage on the resistors using Ohm's law:
𝑉 = 𝐼 · 𝑅
The voltage on 2.2 kΩ
𝑉 = 𝐼
1
· 2. 2 𝑘Ω
𝑉 = 0. 002586 · 2200 Ω
𝑉 = 5. 7 𝑉
The voltage on 680 Ω
𝑉 = 𝐼
3
· 680 Ω
𝑉 = 0. 003957 · 680 Ω
𝑉 = 2. 7 𝑉
The voltage on 47 Ω
𝑉 = 𝐼
2
· 47 Ω
𝑉 = 0. 00655 𝐴 · 47 Ω
𝑉 = 0. 3 𝑉
Now, let us make this circuit in reality and measure the voltage around the resistors using
the multimeter.
The measured voltage around the 2.2 kΩ resistor is 6.23 V.