For the system shown below: a) Find the power delivered to each element. b) Find the reactive power for each element. c) find the power, reactive power, and apparent power delivered by the source. d) Find the power factor seen by the source and state whether it is leading or lagging. ZR₂

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**Problem 2**

For the system shown below:

a) Find the power delivered to each element.  
b) Find the reactive power for each element.  
c) Find the power, reactive power, and apparent power delivered by the source.  
d) Find the power factor seen by the source and state whether it is leading or lagging.

**Circuit Diagram Explanation:**

- The circuit includes a voltage source \( V_S = 20\sqrt{2} \angle 10^\circ \, \text{V} \).
- The current through the circuit is represented as \( I_S \).
- The circuit contains the following elements:
  - Resistor \( Z_{R1} \) with an impedance of \( 25 \, \Omega \).
  - Resistor \( Z_{R2} \) with an impedance of \( 8 \, \Omega \).
  - Capacitor \( Z_C \) with an impedance of \( 10 \, \Omega \).
  - Inductor \( Z_L \) with an impedance of \( 6 \, \Omega \).

**Analysis Tasks:**

- Calculate the power (real and reactive) associated with each component using their impedances.
- Determine the total power, reactive power, and apparent power from the source perspective.
- Calculate the power factor and state if it leads or lags based on the phase angle of the current relative to the voltage.
Transcribed Image Text:**Problem 2** For the system shown below: a) Find the power delivered to each element. b) Find the reactive power for each element. c) Find the power, reactive power, and apparent power delivered by the source. d) Find the power factor seen by the source and state whether it is leading or lagging. **Circuit Diagram Explanation:** - The circuit includes a voltage source \( V_S = 20\sqrt{2} \angle 10^\circ \, \text{V} \). - The current through the circuit is represented as \( I_S \). - The circuit contains the following elements: - Resistor \( Z_{R1} \) with an impedance of \( 25 \, \Omega \). - Resistor \( Z_{R2} \) with an impedance of \( 8 \, \Omega \). - Capacitor \( Z_C \) with an impedance of \( 10 \, \Omega \). - Inductor \( Z_L \) with an impedance of \( 6 \, \Omega \). **Analysis Tasks:** - Calculate the power (real and reactive) associated with each component using their impedances. - Determine the total power, reactive power, and apparent power from the source perspective. - Calculate the power factor and state if it leads or lags based on the phase angle of the current relative to the voltage.
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