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The total current Itotal is
the phasor sum of I1, I2,
and I3.
V
I1 =
     R
     240
I1 =     =4A
      60
Φ1 = 0⁰
V
I2 =
     ZL
ZL = √RL² + XL²
RL = 2 π f L
RL = 2 x π x 50 x 0.12 =37.699 (37.7) Ω
RL = 37.7 Ω
ZL = √RL² + XL²
ZL = √10² + 37.7²
ZL = √100 + 1420 = 39 Ω
ZL = 39 Ω
V
I2 =
     ZL
     240
I2 =     = 6.15 A
      39
I2 = 6.15 A
RL
Cos Φ2 =
         ZL
         10
Cos Φ2 =    = 0.256
         39
Φ2 = 75⁰ (lagging; that is I2
lags V by 75⁰)

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Total current as phasor sum of I1, I2, and I3