Contains problems on basics of electric circuits

1. Electric Circuits and Networks
Practice Sheet – Week 3- Unit 1
1. Findthe voltage v.
Answer:
𝑉 = 12.74𝑉
2. Use meshanalysistodeterminethe three meshcurrents.
Answer:
𝑖1 = 3 𝐴
𝑖2 = 2 𝐴
𝑖3 = 3 𝐴
3. UsingNodal Analysis,determine the voltages𝑣1 𝑎𝑛𝑑 𝑣2.

2. Answer:
𝑽𝟏 = 𝟏𝟗.𝟑𝟔∠𝟔𝟗.𝟔𝟕𝟎 𝑽, 𝑽𝟐 = 𝟑.𝟑𝟕𝟔∠𝟏𝟔𝟓.𝟕𝟎𝑽
4. In the circuitof figure,determinethe meshcurrents 𝑖1 and𝑖2. Let𝑣1 = 10 cos4𝑡 𝑉 and𝑣2 =
20 cos(4𝑡 − 30°) 𝑉.
Answer:
𝒊𝟏 = 𝟐.𝟕𝟒∠ − 𝟒𝟏.𝟎𝟕𝟎 𝑨
𝒊𝟐 = 𝟒.𝟏𝟏𝟒∠𝟗𝟐𝟎 𝑨