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Counter-Strike: Source (2004)

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In an a.c. circuit containing ohmic \( E=E_{0} \sin \omega t \), then \( I=I_{0} \sin (\omega t+\phi) \) resistance \( R \) only, voltage and current are in the same phase.
If \( \quad E=E_{0} \sin \omega t \), \( \phi=\tan ^{-1} \frac{\left(X_{C}-X_{L}\right)}{R} \).
then \( I=I_{0} \sin \omega t \)
The effective resistance of \( R L C \) circuit is
Effective resistance in a.c. circuit \( =R \).
\( Z=\sqrt{R^{2}+\left(X_{L}-X_{C}\right)^{2}} \)
In an a.c. circuit containing inductance \( (L) \) only,
\( Z \) is called impedance of the circuit.
alternating current \( I \) lags behind the alternating voltage
Fig. \( 7.5 \) shows what is called impedance
(E) by a phase angle of \( \pi / 2 \). If \( E=E_{0} \sin \omega t \); triangle.
then \( I=I_{0} \sin (\omega t-\pi / 2) \)
Inductive reactance, \( X_{L}=\omega L=2 \pi \nu L \)
In an a.c. circuit containing a capacitor of capacitance \( C \), alternating current is ahead of alternating voltage by a phase angle of \( \pi / 2 \).
If \( E=E_{0} \sin \omega t \), then \( I=I_{0} \sin (\omega t+\pi / 2) \)
Capacitative reactance, \( X_{C}=\frac{1}{\omega C}=\frac{1}{2 \pi \nu C} \)
FIGURE \( 7.5 \)
In an a.c. circui+ containing ohmic resistance \( R \), an inductance \( L \) and a capacitance \( C \) in series if
Which of the following statements are true ?
(i) Through ohmic resistance, alternating voltage and current are in same phase.
(ii) Through an inductor, alt. current lags behind the alt. voltage by \( 90^{\circ} \).
(iii) Through a capacitor, alt. current leads the alt. voltage by \( 90^{\circ} \).
(iv) In RLC circuit, alt. current and voltage are in same phase.
(a) (i) and (ii) only
(b) (i) and (iii) only
\( (c)(i) \) and \( (i v) \) only
(d) \( ( \) i \( ),( \) ii \( ) \) and (iii) only
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