Electromagnetism: LCR circuits, Phasors & Torque on a coil

See attached file for full problem description.

9 (a) Sketch the Phasor diagram for an ac circuit with a 108 omega resistor in series with a 25.5 mH inductor and a 34.7 mu F capacitor. The frequency of the generator is 60.0 Hz. (b) If the rms voltage of the generator is 120 V, what is the average power consumed by the circuit?

10) A single circular loop of radius 0.27 m carries a current of 2.95 A in a magnetic field of 1.08 T. What is the maximum torque exerted on this loop?

11) Consider the circuit shown below, which contains a 6.0 V battery, a 37 mH inductor, and four 55 - omega resistors. (a) Is more energy stored in the inductor just after the switch is closed, or long after the switch is closed? Explain. (b) Calculate the energy stored in the inductor one characteristic time interval after the switch is closed. (c) What is the energy density (energy/volume) inside the solenoid?

The solutions of three questions contains the phasor diagram and related calculations, torque on a current carrying loop in magnetic field and solving DC circuit with resistance and inductor.

The generator at a power plant produces AC at 24,000 Volts. A transformer steps this up to 345,000 Volts for transmission over power lines. If there are 2,000 turns of wire in the input coil of the transformer, how many turns must there be in the output coil.
Please show the work.

3. A rectangular coil of wire, 22.0 cm by 35.0 cm and carrying a current 1.40 A, is oriented with the plane of its loop perpendicular to a uniform 1.50 T magnetic field as shown below.
a) Calculate the net force and torque which the magnetic field exerts on the coil.
b) The coil is rotated through a 30.0ยบ angle about the axis

A rectangular moving coil of a milliammeter is wound with 30.5 turns. The effective axial length of the magnetic field is 20 mm and the effective radius of the coil is 8 mm. The flux density in the gap is 0.2 T and the controlling torque of the hairsprings is 0.5 x 10^-6 N m/degree of deflection. Calculate the current to give a

A wood cylinder of mass m = .250 kg and length L=.100m, with N =10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle theta to the horizontal, with the plane coil parallel to the incline plan

4) A circular coil with area A and N turn is free to rotate about a diameter that coincides with the x-axis. Current I is circulating in the coil. There is a uniform magnetic field B in the positive y-direction. Calculate the magnitude and direction of torque and the value of the potential energy U, as given in the equation; "U

A uniform rectangular coil of total mass 270 g and dimensions 0.5m x 1.0m is oriented perpendicular to a uniform 3.90-T magnetic field (the figure). A current of 2.30 A is suddenly started in the coil.
Find the initial angular acceleration of the coil just after the current is started (rad/s^2).
See document attached for

A long solenoid has 1400 turns per meter of length, and it carries a current of 3.5 A. A small circular coil of wire is placed inside the solenoid with the normal to the coil oriented at an angle of 90 degrees with respect to the axis of the solenoid. he coil consists of 50 turns, has an area of 1.2 x 10^-3 m^2, and carries a cu

A loop of wire with an area of 0.50 m2 carries a current of 2.4 A in a uniform magnetic field of 3.0 x 10 -2 T.
(a) What is the magnetic moment, m , of the loop?
(b) What is the magnitude of the maximum torque on the loop?