1.

The complete solution of the current in the sinusoidal response of R-L-C circuit is?

A. i = c<sub>1</sub> e<sup>(K<sub>1</sub>+K<sub>2</sub>)t</sup> + c<sub>1</sub> e<sup>(K<sub>1</sub>-K<sub>2</sub>)t</sup> – V/√(R<sup>2</sup>+(1/ωC-ωL)<sup>2</sup> ) cos⁡(ωt+θ+tan<sup>-1</sup>)⁡((1/ωC-ωL)/R))
B. i = c<sub>1</sub> e<sup>(K<sub>1</sub>+K<sub>2</sub>)t</sup> + c<sub>1</sub> e<sup>(K<sub>1</sub>-K<sub>2</sub>)t </sup> – V/√(R<sup>2</sup>+(1/ωC-ωL)<sup>2</sup> ) cos⁡(ωt+θ-tan<sup>-1</sup>)⁡((1/ωC-ωL)/R))
C. i = c<sub>1</sub> e<sup>(K<sub>1</sub>+K<sub>2</sub>)t</sup> + c<sub>1</sub> e<sup>(K<sub>1</sub>-K<sub>2</sub>)t</sup> + V/√(R<sup>2</sup>+(1/ωC-ωL)<sup>2</sup> ) cos⁡(ωt+θ+tan<sup>-1</sup>)⁡((1/ωC-ωL)/R))
D. i = c<sub>1</sub> e<sup>(K<sub>1</sub>+K<sub>2</sub>)t</sup> + c<sub>1</sub> e<sup>(K<sub>1</sub>-K<sub>2</sub>)t </sup> + V/√(R<sup>2</sup>+(1/ωC-ωL)<sup>2</sup> ) cos⁡(ωt+θ-tan<sup>-1</sup>)⁡((1/ωC-ωL)/R))
Answer» D. i = c<sub>1</sub> e<sup>(K<sub>1</sub>+K<sub>2</sub>)t</sup> + c<sub>1</sub> e<sup>(K<sub>1</sub>-K<sub>2</sub>)t </sup> + V/‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ(R<sup>2</sup>+(1/‚âà√¨‚àö¬¢C-‚âà√¨‚àö¬¢L)<sup>2</sup> ) cos‚Äö√Ñ√∂‚àö√ñ¬¨‚àû(‚âà√¨‚àö¬¢t+‚âà√≠‚Äö√†√®-tan<sup>-1</sup>)‚Äö√Ñ√∂‚àö√ñ¬¨‚àû((1/‚âà√¨‚àö¬¢C-‚âà√¨‚àö¬¢L)/R))


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