For the RC series circuit, find the:
(a) Capacitive reactance
(b) Impedance
(c) Current in the circuit
(d) Voltage drop across the resistor
(e) Voltage drop across the capacitor
(f) Phase angle between the current and the applied voltage
(e) Also, draw the phasor diagram for the current and voltage.
XC =
        1 
           = 53.1Ω

          6.28 x 50 x 60 x 10¯⁶

Answer XC = 53.1Ω
C




Z = √50²+53.1² = √2500+2819.6l = √5319.61

Answer Z = 72.94 Ω
I = 
 

           V

          Z
       I =
 100

          72.94
Answer I = 1.37A
VR = IR = 1.37 x 50

Answer VR = 68.5 V
VC = IXC = 1.37 x 53.1

Answer Vc = 72.75 V
Angle ∅ =
 cos¯¹ R = cos¯¹ 50 = cos¯¹ 0.6855

 
 
            Z
       72.75
4.2.4 RC Example 1

4.2.4 RC Example 1

  • 1.
    For the RCseries circuit, find the: (a) Capacitive reactance (b) Impedance (c) Current in the circuit (d) Voltage drop across the resistor (e) Voltage drop across the capacitor (f) Phase angle between the current and the applied voltage (e) Also, draw the phasor diagram for the current and voltage.
  • 3.
    XC = 1 = 53.1Ω 6.28 x 50 x 60 x 10¯⁶ Answer XC = 53.1Ω
  • 4.
    C Z = √50²+53.1²= √2500+2819.6l = √5319.61 Answer Z = 72.94 Ω
  • 5.
    I = V Z I = 100 72.94 Answer I = 1.37A
  • 6.
    VR = IR= 1.37 x 50 Answer VR = 68.5 V
  • 7.
    VC = IXC= 1.37 x 53.1 Answer Vc = 72.75 V
  • 8.
    Angle ∅ = cos¯¹ R = cos¯¹ 50 = cos¯¹ 0.6855 Z 72.75