A series $R L C$ circuit with $R=3.0 \Omega, C=20 \mathrm{pF}$, and a resonant frequency of $17 \mathrm{MHz}$ is connected to an alternating emf with $\mathcal{E}_{\max }=12 \mathrm{~V}$. $(a)$ What is the amplitude of the voltage across the inductor at resonance? $(b)$ What is the amplitude of the voltage across the resistor at resonance? $(c)$ What is the average power dissipated in this circuit? $(d)$ What is the quality factor $\mathbf{Q}$ of this circuit?

In an $L-R-C$ series circuit, $L=0.280 \mathrm{H}$ and $C=$ $4.00 \mu \mathrm{F}$. The voltage amplitude of the source is $120 \mathrm{~V}$.(c) At the resonance angular frequency, what are the peak voltages across the inductor, the capacitor, and the resistor?

In an $L-R-C$ series circuit, $L=0.280 \mathrm{H}$ and $C=$ $4.00 \mu \mathrm{F}$. The voltage amplitude of the source is $120 \mathrm{~V}$.(b) When the source operates at the resonance angular frequency, the current amplitude in the circuit is $1.70 \mathrm{~A}$. What is the resistance $R$ of the resistor?

In a TV transmitter, a series circuit has an impedance of 3 kΩ and a total current of 50 mA. If the voltage across the resistor is 80 V, what is the power factor of the circuit?

The current at the resonant frequency of a series $LC$ circuit is $10{\text{ mA}_{\text{p-p}}}$. What is the value of current at the half-power points? a. $7.07{\text{ mA}_{\text{p-p}}}$. b. $14.14{\text{ mA}_{\text{p-p}}}$. c. $5{\text{ mA}_{\text{p-p}}}$. d. $10{\text{ mA}_{\text{p-p}}}$.

Explain what is the principle of a transformer, and how are transformers used.

Why are the cores of power transformers laminated?

How many transformers are needed to make an open-delta connection?

What are common efficiencies for transformers?

What connections are used for three-phase transformers?

What are current and voltage transformers?

Two coils wound on a common core have $L_1=0.2 H, L_2=0.5 H,$ and M = 0.1 H. The currents are $i_1 = exp(-1000t) A$ and $i_2=2 \exp (-1000 \mathrm{t}) \mathrm{A}$Both of the currents enter dotted terminals. Find expressions for the voltages across the coils.

In the circuit shown in Fig. earlier, neither the battery nor the inductors have any appreciable resistance. the capacitors are initially uncharged, and the switch $S$ has been in position I for a very long time.(a) What is the current in the circuit?

Two coils wound on a common core have $L_1 = 1 H, L_2 = 2 H,$ and M = 0.5 H. The currents are $i_1 = 1 A$ and $i_2 = 0.5 A .$ If both currents enter dotted terminals, find the flux linkages of both coils. Repeat if $i_1$ enters a dotted terminal and $i_2$ leaves a dotted terminal.