Question

if Xc = 7,500 and the resistance is 10,000 in a series RC circuit , what is the impedance of the circuit?

Answer 1

Answer: Impedance Z = 12500 ohms

Step-by-step explanation:

Given;

Capacitive resistance Xc = 7500 ohms

Resistance R = 10000 ohms

The general formula for impedance is;

Z = √(R^2 + (Xc + Xl)^2)

Where Xl is the inductive resistance

Z is impedance

For a RC circuit, impedance is

Z = √(R^2 + Xc^2).

Z = √(10000^2 + 7500^2)

Z = 12500 ohms

Answer 2

The impedance of the circuit = 12500 Ω

Step-by-step explanation:

Impedance: This is the overall opposition to the flow of current in an a.c circuit by any two or all of the three circuit elements.(R, L, C) is called impedance.

The S.I unit of Impedance is Ohms. (Ω), It can be represented mathematically as

Z = √(Xc² + R²).................... Equation 1

Where Z = impedance, Xc = reactance of the capacitor, R = resistance of the resistor.

Given: Xc = 7500 Ω, R = 10000 Ω

Substituting these values into equation 1,

Z = √(7500² + 10000²)

Z = √(56250000 + 100000000)

Z = √(156250000)

Z =12500 Ω

Therefore, The impedance of the circuit = 12500 Ω