A) \[5\,\sin \,(\omega t+{{53}^{o}})\]
B) \[5\,\sin \,(\omega t+{{37}^{o}})\]
C) \[5\,\sin \,(\omega t+{{45}^{o}})\]
D) \[5\,\cos \,(\omega t+{{53}^{o}})\]
Correct Answer: A
Solution :
[a] \[{{i}_{3}}={{i}_{1}}+{{i}_{2}}=3\,\sin \,\omega t+4\,\cos \,\omega t\] \[=5\sin \,(\omega t+\phi )\], where \[\tan \,\,\phi =\frac{3}{4}\] or \[\phi ={{53}^{o}}\]
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