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Network Elements and the Concept of Circuit

  1. Given V2 = 2 cos 2t = 2 0°, the value of Vs is given by—


    1. 3 0°
    2. 29 tan– 1 2.5
    3. 104 tan– 1 5
    4. 2 2 45°
Correct Option: D

Given that
V2 = 2 cos 2 t = 2 ∠ 0°

I L (s) =
V2
=
4V2
1s / 4s

I C (s) =
V2
=
3s. V2
1 / (3s / 2) 2

Total current flowing through
1 Ω = IL (s) + IC (s)
V 2 =
4
+
3s
s 2

= V28 + 3s2
2s

Voltage drop across across resistance
= 1. V28 + 3j 2 × ω2
2j × 2

On comparing with
V2 = 2 cos 2t = 2 ∠ 0º
Here, = ω = 2
= 1. V28 – 3 × 4
2j × 2

Voltage drop across 1 Ω resistance
= V2 = V2 ∠ 90°

By using triangle law VS = 2√2 ∠ 45°



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