An RL circuit has a resistance of 3 ohms and a reactance of 4 ohms, the impedance of the circuit is

Concept:

For a series RL circuit, the net impedance is given by:

Z = R + j (XL)

XL = Inductive Reactance given by:

XL = ωL

The magnitude of the impedance is:

\(|Z|=\sqrt{R^2+X_L^2}\)

Calculation:

With R = 3 Ω and XL = 4 Ω, we get:

\(|Z|=\sqrt{(3)^2+(4)^2}\)

\(|Z|=\sqrt{25}\)

|Z| = 5 Ω

Important Notes:

For a series RLC circuit, the net impedance is given by:

Z = R + j (XL - XC)

XL = Inductive Reactance given by:

XL = ωL

XC = Capacitive Reactance given by:

\(X_C=\frac{1}{\omega C}\)

The magnitude of the impedance will be:

\(|Z|=\sqrt{R^2+(X_L-X_C)^2}\)