Question 482: AC fundamentals

Question

In a circuit L, C and R are connected in series with an alternating voltage source of frquency $$f.$$ The current leads the voltage by 45
o
. The value of C is

Accepted Answer

tan$$\phi $$ = $${{{X_C} - {X_L}} \over R}$$
$$ \Rightarrow $$ $$	an \left( {{\pi  \over 4}} ight) = {{{1 \over {\omega C}} - \omega L} \over R}$$
$$ \Rightarrow $$ R = $${{1 \over {\omega C}} - \omega L}$$
$$ \Rightarrow $$ R + 2$$\pi $$fL = $${1 \over {2\pi fC}}$$
$$ \Rightarrow $$ C = $${1 \over {2\pi f\left( {R + 2\pi fL} ight)}}$$

Answer

$${1 \over {\pi f\left( {2\pi f\,L - R} \right)}}$$

Answer

$${1 \over {2\pi f\left( {2\pi f\,L - R} \right)}}$$

Answer

$${1 \over {\pi f\left( {2\pi f\,L + R} \right)}}$$

Answer

$${1 \over {2\pi f\left( {2\pi f\,L + R} \right)}}$$

AC fundamentals

In a circuit L, C and R are connected in series with an alternating voltage source of frquency $f.$ The current leads the voltage by 45 o . The value of C is

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