Example 4: For the following circuit a. Find V b. Find V2 c. Verify

Example 4: For the following circuit a. Find 𝑉! b. Find 𝑉! c. Verify Kirchhoff Voltage Law around a close loop v1
+
2 kW 4 kW R1
R2
+
R3
1kW 40 V
v2
R4
3 kW -
a. 𝑅! = 𝑅! + 𝑅! + 𝑅! + 𝑅! = 2𝑘Ω + 4𝑘Ω + 1𝑘Ω + 3𝑘Ω = 10𝑘Ω 40𝑣
40𝑣
I=
=
= 4𝑚𝐴 R!
10𝑘Ω
𝑉! = 𝑅! + 𝑅! 𝐼 = 2𝑘Ω + 4𝑘Ω ∗ 4𝑚𝐴 𝑉! = 24𝑣 b. 𝑉! = 𝑅! + 𝑅! 𝐼 = 1𝑘Ω + 3𝑘Ω 4𝑚𝐴 𝑉! = 16𝑣 c. 40𝑣 = 𝑉! + 𝑉! = 24𝑣 + 16𝑣 = 40𝑣