17.4k views
3 votes
Obtain The Overall Impedance For The Following: S=4500∠60⁰ VA,V=120∠45⁰ V

The Overall Impedance Is ( ____X+J ___×) Ω.

1 Answer

3 votes

Final answer:

To calculate the overall impedance, we would normally use the formula Z = V / I, where V is the voltage and I is the current. however, without knowing the circuit's resistance (R), inductance (L), and capacitance (C), it is not possible to provide an accurate answer.

Step-by-step explanation:

The overall impedance of a circuit with an apparent power (S) of 4500 VA at an angle of 60° and a voltage (V) of 120 V at an angle of 45° can be calculated using the formula Z = V / I, where Z is the impedance, V is the voltage, and I is the current. However, we start by calculating the current using the apparent power formula S = V * I, where I is the current, which also has a magnitude and angle. To find the impedance (Z), we need to know the current (I). Since the apparent power is given in volt-amperes (VA), which is the product of voltage and current, we can rearrange the formula to find I: I = S / V. Once we have the current, we can then calculate the impedance.

To solve this problem, we use the given voltage and power values:

  • S = 4500° VA
  • V = 120° V

But since we do not have sufficient examples provided with compatible information to carry out the calculations necessary to obtain impedance (Z), we are unable to provide the answer without additional information such as the resistance (R), inductance (L), capacitance (C), and frequency of the circuit. Typically, impedance is calculated using the formula Z = √(R² + (XL - XC)²), but specific values for R, XL (inductive reactance), and XC (capacitive reactance) are needed.

User Facyo Kouch
by
8.3k points