A sinusoidal voltage V(t) = 210 sin3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $μ F$ and R = $100 Ω .$ The phase difference $(?)$ between the applied voltage and resultant current will be:

Option 1 - tan-1(0.17)

Option 2 - tan-1(9.46)

Option 3 - tan-1(0.30)

Option 4 - tan-1(13.33)

2 Views|Posted 6 months ago

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Answered by

Alok Kumar Singh | Contributor-Level 10

6 months ago

Correct Option - 1

Detailed Solution:

V = 210 sin 3000 t

$ω$ = 3000

$X_{L} = ω L = 30$

$X_{C} = \frac{1}{ω c} = \frac{40}{3}$

$t a n ? = \frac{V_{L} - V_{C}}{V_{R}} = \frac{X_{L} - X_{C}}{R}$

$\begin{array}{l} t a n ? = 0.17 \\ ? = t a n^{- 1} (0.17) \end{array}$

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A sinusoidal voltage V(t) = 210 sin3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μ F and R = 1 0 0 Ω . The phase difference ( ? ) between the applied voltage and resultant current will be:

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