Electormagnetic Theory Question

2. A rod of uniform linear charge density +1.5 x 10-5 C/ m is bent into an arc of radius R = 0.10 m. The arc is placed with its center at the origin of the axis. A proton is placed at point O and held at rest. a) Determine the magnitude and direction of the force required to keep the proton at rest. (Ignore the effects of gravity) b) Determine the electric potential at point O. See attached file for full problem description. Only answer #2.

Electromagnetic Theory Question

A spherical cloud of radius R contains total charge +Q with a nonuniform volume charge density that varies according to... See attached file for full problem description. Only #3.

Electromagnetic Theory Question

A loop of wire of width w and height h contains a switch and a battery and is connected to a spring of force constant k. The loop carries a current I in a clockwise direction, and its bottom is in constant, uniform magnetic field directed into the plane of the page. a) If the switch is opened, the loop eventually comes to rest at a new equilibrium position that is a distance x from its former position. Derive an expression for the magnitude B of the uniform magnetic field in terms of given quantities and fundamental constants. b) The loop is replaced by the loop of the same dimensions and resistance R but without the battery and switch. This loop is pulled upward, out of magnetic field, at c... click for more

Electromagnetic Theory Question

5. A circular wire loop with radius 0.10 m and resistance 50 Ω is suspended horizontally in a magnetic field of magnitude B directed upward at an angle of 60o with the vertical. The magnitude of the field in teslas is given as a function of time t in seconds by the equation Show the direction of induced in this loop current and define the energy dissipated in the loop from t=0 to t=4 sec. See attached file for full problem description. Only #5.

Electromagnetic Theory

6. The circuit consists of a battery of emf ε in series with a rod of length l, mass m, and resistance R. The rod is suspended by vertical connecting wires of length d, and the horizontal wires that connect to the battery are fixed. All these wires have negligible mass and resistance. The rod is a distance r above a conducting cable. The cable is very long and is located directly below and parallel to the rod. Earth’s gravitational pull is toward the bottom of the page. With the proper current in the cable Ic , the rod can be lifted up such that there is no tension in the connecting wires. Determine this current and magnetic flux through the circuit due to it. See attached file for ... click for more