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1) A capacitor C = 5 μF is in series with a resistance R = 300 Ω and a voltage source v(t)  sinusoidal sinusoidal with an effective value of 200 V and frequency of 100 Hz

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1) A capacitor C = 5 μF is in series with a resistance R = 300 Ω and a voltage source v(t) 
sinusoidal sinusoidal with an effective value of 200 V and frequency of 100 Hz. Calculate in steady state:
(a) The impedance of the RC dipole. 
(b) The value of the intensity of the current i(t) flowing through the circuit. 
(c) The values of the effective voltages across the resistor and capacitor.
(d) The phase shift between v(t) and i(t).

2)Two complex loads Z1 and Z2 are connected in parallel and powered by a value voltage 
effective 7.2 kV and frequency 60 Hz. The first load has a power of 50 kVA and a factor of 
rear power of 0.9. The second charge has a power of 45 kW and a rear power factor
of 0.91. Determine in steady state the kVAR power and the capacity required to correct the 
Total power factor to a value of 0.97 rear.

3)A plant has two electrical loads connected in parallel to an efficient 4000 V source. The 
first charge of 30 kW is used for heating while the second is a set of motors 
which operate with a rear power factor of 0.6 to 150 kVA. 
Determine the total current and power factor of the plant.