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VITEEE 2016 Solved Paper
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© examsnet.com
Question : 28
Total: 125
If
i
1
= 3 sin ωt and
i
2
= 4 cos ωt, then
i
3
is
5 sin (ωt + 53°)
5 sin (ωt + 37°)
5 sin (ωt + 45°)
5 cos (ωt + 53°)
Validate
Solution:
From KirchhoflPs current law,
i
3
=
i
1
+
i
2
= 3 sin ωt + 4 sin (ωt + 90°)
=
√
3
2
+
4
2
+
2
(
3
)
(
4
)
c
o
s
90
°
sin (ωt + Φ)
where tan Φ =
4
s
i
n
90
°
3
+
4
c
o
s
90
°
=
4
3
∴
i
3
= 5 sin (ωt + 53°)
© examsnet.com
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