Reactance: The 60-Hz ac source of the series circuit shown in the figure has a voltage amplitude of 120 V. The capacitive reactance is 790 Ω, the inductive reactance is 270 Ω, and the resistance is 500 Ω.(a) What is the capacitance of the capacitor? (5 points)(b) What is the inductance of the inductor? (5 points)

LR circuits: A  45-mH ideal inductor is connected in series with a  60-Ω resistor through an ideal 15-V DC power supply and an open switch. If the switch is closed at time t = 0 s, what is the current 7.0 ms later?

Circular motion of charges: A proton is first accelerated from rest through a potential difference V and then enters a uniform 0.550-T magnetic field oriented perpendicular to its path. In this field, the proton follows a circular arc having a radius of curvature of 2.57 cm. What was the potential difference V? (mproton = 1.67 × 10-27 kg, e = 1.60 × 10-19 C)

Impedance: A series circuit has a resistance of 4.0 Ω, a reactance (due to the capacitance) of 21.0 Ω, and a reactance (due to the inductance) of 17.0 Ω. Find the impedance of the circuit.

LRC series circuits: A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-µF capacitor and a 100-Ω resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor?

Self-inductance: What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10-4 m2? (µ0 = 4π × 10-7 T · m/A)

LRC series circuits: A series LRC circuit has a sinusoidal voltage supplied to it at 197 kHz with a peak voltage of 270 V a 41-kΩ resistance, a 14-mF capacitor, and a 63-H inductance. What is the peak current for this circuit?

Circular motion of charges: A charged particle of mass  0.0020 kg is subjected to a 6.0 T magnetic field which acts at a right angle to its motion. If the particle moves in a circle of radius 0.20 m at a speed of 5.0 m/s what is the magnitude of the charge on the particle?

Energy density: How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due to the earth’s magnetic field with a strength of 5.0 × 10-5 T? (µ0 = 4π × 10-7 T · m/A)

Transformers: The primary coil of a transformer has 100 turns and its secondary coil has 400 turns.  If the ac voltage applied to the primary coil is 120 V, what voltage is present in its secondary coil?