 # Electrical Engineering, option 6

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Examination 3
The network enabled coil resistance and inductance which r L (Table. 3.1). Find the complex impedance and conductance coil, if the frequency f = 50 Hz. Show two respective variants of the equivalent circuit of the coil.
Given: L = 70 mH; r = 10 ohms.

Objective 3.2
In the circuit alternating current frequency of 50 Hz (Fig. 3.2, Table 3.2.) Included a coil having an active resistance r and inductive reactance xL. By the circuit voltage is applied to determine the indications of measuring instruments included in the chain, as well as reactive and apparent power circuit. Construct the vector diagram in the complex plane.
Given: r = 6 ohms; xL = 6,7 Ohm; Um = 141 V.

Objective 3.3
The AC circuit (Fig. 3.3, Tab. 3.3 includes a resistor in series with the active resistance r and the capacitor C is supplied to the circuit alternating voltage frequency of 50 Hz. Determine the meter readings included in the chain, reactive and apparent power circuit, the vector construct diagram in the complex plane.
Given: Um = 282 B; r = 70 ohms; C = 100 uF.

Objective 3.4
The network with a voltage connected in series two receivers (Fig. 3.4, Tab. 3.4) having resistances r1 and r2 and reactive xL and xC. Determine the readings included in the scheme, the active and reactive power of each receiver and the entire chain and the power factor cos φ of the whole chain. Construct the vector diagram in the complex plane.
It is given by: U = 50 V; r1 = 8 ohms; xL = 12 ohms; r2 = 4 ohms; xC = 15 ohms.

The circuit consists of two parallel branches (Fig. 3.5, Tab. 3.5) has a resistance r1, xL, r2, xC. Determine the meter readings included in the chain, active and reactive power of parallel branches and the whole circuit if the voltage applied to the circuit, as well U. Construct a vector diagram in the complex plane.
It is given by: U = 100 V; r1 = 15 ohms; xL = 13 ohms; r2 = 7 ohms; xC = 9 ohms.

Objective 3.6
Determine the meter readings in the circuit (Fig. 3.6), the parameters of which are given in the Table. 3.6. Construct the vector diagram in the complex plane.
Given: U = 120 B; r = 1,2 Ohm; xL = 2,1 Ohm; r1 = 7,0 Ohm; xL1 = 5,6 Ohm; r2 = 6,0 ohms; xC3 = 9,0 ohms. 