Impedance — Prelims Questions

A series RLC circuit has a resistance $R = 10\,\Omega$, an inductive reactance $X_L = 60\,\Omega$, and a capacitive reactance $X_C = 30\,\Omega$. If the applied AC voltage is $V_{rms} = 100\,\text{V}$, what is the RMS current flowing through the circuit?

An AC circuit contains a resistor and an inductor in series. If the resistance is $3\,\Omega$ and the inductive reactance is $4\,\Omega$, what is the impedance of the circuit?

In an AC circuit, if the inductive reactance ($X_L$) is $100\,\Omega$ and the capacitive reactance ($X_C$) is $40\,\Omega$ at a certain frequency, what is the nature of the circuit at that frequency?

A capacitor of capacitance $100\,\mu\text{F}$ is connected to an AC source of $200\,\text{V}$, $50\,\text{Hz}$. What is the capacitive reactance of the circuit?

At what frequency will an inductor of $0.5\,\text{H}$ have an inductive reactance of $157\,\Omega$? (Take $\pi = 3.14$)

Which of the following statements about impedance is INCORRECT?