Flux: A 2.0-m long conducting wire is formed into a square and placed in the horizontal xy-plane. A uniform magnetic field is oriented 30.0º above the horizontal with a strength of 9.0 T. What is the magnetic flux through the square?

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: What resistance should be added in series with a  3.0-H inductor to complete an LR circuit with a time constant of 4.0 ms?

Flux: A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20 T.  Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are(a) parallel. (2.5 points)(b) perpendicular. (2.5 points)(c) at an angle of 30° with each other. (2.5 points)

LR circuits: An LR circuit contains an ideal 60-V battery, a 51-H inductor having no resistance, a 21-Ω resistor, and a switch S, all in series. Initially, the switch is open and has been open for a very long time. At time t = 0 s, the switch is suddenly closed. When the voltage across the resistor is equal to the voltage across the inductor, what is the current in the circuit?

LRC series circuits: An LRC series circuit has R = 25.0 Ω, L = 50.0 mH, and C = 45 µF. The circuit is connected to a 120-V (rms) ac source with frequency 200 Hz.(a) What is the impedance of the circuit? (5 points)(b) What is the rms current in the circuit? (2.5 points)(c) What is the rms voltage across the resistor? (2.5 points)(d) What is the rms voltage across the inductor? (2.5 points)(e) What is the rms voltage across the capacitor? (2.5 points)

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?

Velocity selector: A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving.  If the magnetic field in this region has a value of 0.010 T, what magnitude of the electric field is required if the particles are to be undeflected as they pass through the region?

Circular motion of charges: An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm. How fast is this electron moving? (mel = 9.11 × 10-31 kg, e = 1.60 × 10-19 C)

Determine the volume of an object that has a mass of 455.6 g and a density of 19.3 g/cm3.