A set of problems on magnetic effects of current viz. magnetic field, force experienced by a conductor/charge moving in a magnetic field etc.

A set of problems on magnetic effects of current viz. magnetic field, force experienced by a conductor/charge moving in a magnetic field etc. See attached file for full problem description.

Electrostatics: Field and Potential

Please solve and show solutions step by step for problems 22.38, 22.42, and 23.68 (See attached files for full problem description)

Standing waves

A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the spring constant (k) of the bungee cord?

Speed of wave in steel wire and tension in the wire.

A steel wire (8 m long and 60 g mass) is clamped between two parallel walls. Two equal masses are hung from the wire at equal distance from each end. The left and right sections of the wire are 2m long and make an angle of 40 degree with each wall and the middle section is 4 m long and is horizontal. A wave pulse travels along t ...continues

Wave Motion and Mechanics

The figure shows two masses hanging from a steel wire. The mass of the wire is 60.0 g. A wave pulse travels along the wire from point 1 to point 2 in 24.0 ms. What is mass m? The figure can be found at: http://session.masteringphysics.com/problemAsset/1001594/5/knight_Figure_20_80.jpg

Waves - What is the value of g, the acceleration due to gravity, on Planet X?

Astronauts visiting Planet X have a 2.40 m-long string whose mass is 5.50 g. They tie the string to a support, stretch it horizontally over a pulley 1.60 m away, and hang a 1.80 kg mass on the free end. Then the astronauts begin to excite standing waves on the string. Their data show that standing waves exist at frequencies of 6 ...continues

A spherical charge distribution is encircled by a conducting shell. To find the electric field and electric potential in all four regions.

Consider a spherically symmetric configuration: A spherical charge distribution has radius R_A and *nonuniform* charge density rho(r) = rho_zero R_A / r. It is encircled by a conducting shell with inner radius R_B and outer radius R_C (R_A < R_B < R_C). Therefore, there are four regions: I. charged ball: 0 < r < R_A II. ...continues

Physics Waves

1. A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a transverse wave in the rope is a function of y, the distance from the lower end, and is given by v = Sqrt(gy). (b) Show that the time it takes a transverse wave to travel the length of the rope is given by t = 2sqrt(L/g). (Hint: calcu ...continues

Waves

2. A nonuniform wire of length L and mass M has a variable linear mass density given by mu = kx where x is the distance from one end of the wire and k is a constant. (a) Show that M = (kL^2)/2. (b) Show that the time t required for a pulse generated at one end of the wire to travel to the other end is given by t = sqrt(8ML)/9T ...continues

Waves stuff

A 22-cm long, 1.0-mm diameter copper wire is joined smoothly to a 60-cm-long, 1.0-mm-diameter almunimum wire. The resulting wire is stretched with 20 N of ension between fixed supports 82 cm apart. The densities of copper and aluminum are 8920 km/m^3 and 2700 kg/m^3, respectively. a) What is the lowest-frequency standing wave ...continues