If xc = 7,500 and the resistance is 10,000 in a series rc circuit , what is the impedance of the circuit?

The impedance of the circuit = 12500 Ω

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