Current

$\overline{){\mathbf{I}}{\mathbf{=}}{{\mathbf{I}}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{}}{\mathbf{\varphi}}}$

$\overline{){\mathbf{I}}{\mathbf{=}}\frac{{\mathbf{\epsilon}}_{\mathbf{0}}}{\mathbf{Z}}}$

$\overline{){\mathbf{t}}{\mathbf{a}}{\mathbf{n}}{\mathbf{}}{\mathbf{\varphi}}{\mathbf{=}}\frac{{\mathbf{X}}_{\mathbf{L}}\mathbf{-}{\mathbf{X}}_{\mathbf{C}}}{\mathbf{R}}}$

Impedance,

$\overline{){\mathbf{Z}}{\mathbf{=}}\sqrt{{\mathbf{R}}^{\mathbf{2}}\mathbf{+}{\mathbf{(}\mathbf{X}}^{}}}$_{L}_{C}

**(1)**

From the graph, at t = 0, I =I_{max} / 2. Substituting in the current equation and solving for Φ:

I_{max}/2 = I_{max} cos Φ

1/2 = cos Φ

Φ = 60°

The figure shows voltage and current graphs for a series RLC circuit.

What is the resistance R?

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