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Example Question 1
An inductor has a resistance of 30Ω and an inductance of
0.8H. If itʼs connected
across a 240V 50Hz supply, find:
(a) Its inductive reactance
(b) Its impedance
(c) The current flowing through the inductor
(d) The phase angle between the current and the applied
voltage
(e) Also, draw the phasor diagram for the current and voltage.
Z = impedance in ohms
R = resistance in ohms
XL = reactance in ohms
Known values:


            L = 0.8H


            R = 30Ω


            V = 240V


             f = 50Hz
(a) Equation XL = 2πfL = 6.28 x 50 x 0.8
    Answer XL = 251.2 Ω
(b) Values:
          R = 30Ω
          XL = 251.2 Ω
Z = √(R² + XL²)

       Z = √(30² )+(251.2²)
       Z = √900 + 63101.44
       Z = √64001.44
Answer Z = 253 Ω
(c) Values;
              Z = 253 Ω
              V = 240 V
V
I = 
Z    (Ohmʼs law)

    240
I = 253
     

Answer I = 0.95 A
(d) Values:
           Z = 253 Ω
           R = 50 Ω
∅ = cos¯¹ 
R


         Z
∅ = cos¯¹ 
30


        253
∅ = cos¯¹ 0.118577
Answer ∅ = 83.2°
Applied
voltage (V)




              Current (I)
Applied
voltage (V)



              ∅=
                   Current (I)
Applied
voltage (V)



              ∅ = 83.2⁰
                          Current (I)

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4.1.5 RL Example 1