 # Circuit containing Capacitor and resistance in series|Alternating Current

## Circuit containing capacitance and resistance in series

• Figure below shows a circuit containing capacitor and resistor connected in series through a sinusoidal voltage source of voltage
V=V0sin(ωt+φ) • In this case instantaneous P.D across R is
VR=IR
and across the capacitor C is
VC=I/ωC
• In this case VR is in phase with current i and VC lags behind i by a phase angle 900
• Figure 11(b) shows the phasors diagram where vector OA represent the resultant of VR and VC which is the applied Voltage thus is called the impedance of the circuit
• Again from the phasors diagram applied voltage lags behind the current by a phase angle φ given by
tanφ= VC/ VR=1/ωCR                                       ---(18)

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