AC circuit with two components given phase angle

In summary, the circuit contains two elements, and based on the positive phase angle and the phasor diagram, it can be concluded that the circuit is of type LR.
  • #1
Hyperfluxe
35
0

Homework Statement


A circuit contains two elements, but it is not known if they are L, R or C. The current in this circuit when connected to a 1.20×101 V, 60.0 Hz source is 4.70 A and lags the voltage by 4.20×101 degrees.
a) What are the two elements? (Answer A,B or C)
CL
CR
LR

Homework Equations


Phasor diagram.
V=IZ
w = 2pi*f
tan(theta)=XL - XC / R

The Attempt at a Solution


From the phasor diagram for an AC circuit (or RLC circuit), usually the +y vector is for the inductor, the -y vector is for the capacitor, and the +x vector is for the resistor. Given that the phase angle is positive, I would say that the circuit is of type LR.
 
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  • #2
Hyperfluxe said:

Homework Equations


Phasor diagram.
V=IZ
w = 2pi*f
tan(theta)=(XL - XC) / R

Given that the phase angle is positive, I would say that the circuit is of type LR.

It is correct.

ehild
 

1. What is the phase angle in an AC circuit with two components?

The phase angle in an AC circuit with two components refers to the difference in phase between the voltage and current in the circuit. It is measured in degrees or radians and is important in determining the behavior of the circuit.

2. How do I calculate the phase angle in an AC circuit with two components?

The phase angle can be calculated using the arctan function, where the ratio of the reactance of the inductive component to the resistance of the circuit is equal to the tangent of the phase angle.

3. What is the significance of the phase angle in an AC circuit?

The phase angle is significant because it determines the power factor of the circuit and affects the efficiency of energy transfer. It also helps in understanding the behavior of the circuit and predicting potential problems.

4. Can the phase angle in an AC circuit be negative?

Yes, the phase angle in an AC circuit can be negative. This indicates a phase shift in the opposite direction and is commonly seen in capacitive components.

5. How does the phase angle affect the impedance in an AC circuit with two components?

The phase angle affects the impedance by changing the total resistance of the circuit. If the phase angle is 0 degrees, the impedance will be equal to the total resistance of the circuit. However, as the phase angle increases, the impedance also increases due to the added effects of reactance.

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