Practicas

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Loop Analysis

Legend of loop colors:



The circuit:
The number beside each resistor, inductor or capacitor is its complex impedance. For a resistor this is its resistance, for an inductorthis is w*L where w is the angular velocity of the generators in the circuit and L is the inductance of the inductor, and for a capacitor this is 1/(w*C) where w again is the angular velocity of thegenerators in the circuit and C is the capacitance of the capacitor. The number beside the generator is its voltage expressed as a phasor.



The system of loop equations:
The unknowns in thissystem are the loop currents i1, i2, etc.

(6+6j) i1 - 4j i2 = +50j
- 4j i1 + (5+7j) i2 = +30j

The solutions:
The loop currents i1, i2, etc. are expressed as phasors.

i1=7.38<65.2°
i2= 5.83<67.8°

The currents:
The number beside each generator, resistor, inductor and capacitor gives the current flowing through that generator, resistor, inductor or capacitor (inamperes) expressed as a phasor. The arrow gives the direction in which the current is measured.



The voltages:
The number beside each generator, resistor, inductor and capacitor gives thevoltage difference between the ends of that generator, resistor, inductor and capacitor expressed as a phasor (in volts). The arrow gives the direction in which the voltage is measured.



Thepowers:
The number beside each generator gives the time-averaged power delivered to the circuit by that generator (in watts). The number beside each resistor gives the time-averaged power dissipated bythat resistor (again in watts). Inductors and capacitors dissipate no time-averaged power.


Loop Analysis

Legend of loop colors:



The circuit:
The number beside each resistor, inductoror capacitor is its complex impedance. For a resistor this is its resistance, for an inductor this is w*L where w is the angular velocity of the generators in the circuit and L is the inductance of...
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