Consider an infinitely long wire in the form of y2=4cx, which is in a stationary state. Another infinitely long wire parallel to the y-axis starts moving with an initial velocity of zero at t=0 from the initial position at x=0 with acceleration a ax. Assuming a magnetic flux density (magnetic induction) of B=B0 az throughout the region, determine the induced electromotive force on the moving wire as a function of time using Faraday's law.

4. A loop of wire with radius R 2 cm carries a current I whose magnitude increases at 2 A/s in the clockwise direction as shown. The inner loop is made of copper with a resistance of 1 /cm and a R2 1 cm. RI R2 a. What is the magnitude of the induced current in the inner loop? For simplicity's sake assume that the magnetic field is uniform within the loop. b. What is the direction of the induced current in the inner loop? Justify your answer.

An infinitely-long, hollow, conducting cylinder carries a uniform current I that flows parallel to its axis and into the paper. Its inner radius is a and its outer radius is b. Derive expressions for the magnetic field for (a) a < r < b and (b) r > b Note: See image for the figure.

A bar magnet is dropped through a long vertical copper tube. (Assume that the magnet is smaller than the inner diameter of the tube and is not initially touching the tube). What effect will the pipe have on the magnet's fall through the tube? The magnet will fall slower as a result of its kinetic energy getting stored as magnetic energy in its magnetic field. The magnet will fall faster as a result of the increased magnetic flux, which will manifest as a corresponding increase of kinetic energy. The magnet will fall slower as a result of the magnetic repulsion of eddy currents The magnet will fall faster as a result of the magnetic attraction between the tube and the magnet, which will cause a net downward force The increased friction caused by the attraction between the magnet and the tube will slow down the fall of the magnet The tube will have no effect on the fall of the magnet

Two long, parallel conductors, separated by 14.0 cm, carry currents in the same direction. The first wire carries a current I = 4.00 A, and the second carries 1₂ = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.) 1₂ # (a) What is the magnetic field created by I, at the location of I? magnitude T direction Select-- v (b) What is the force per unit length exerted by I, on 1₂? magnitude N/m direction Select- (c) What is the magnetic field created by I₂ at the location of 1₁? magnitude direction -Select-- (d) What is the force per length exerted by 1₂ on 1₁? magnitude N/m direction -Select--

Mf...

17 t of estion For an electromotive force, Vemf, to be induced in a vertical loop from a magnetic field generated by an infinite length line of current I flowing in the az direction, the loop must be moving in Select one: O a. az Ob. ax or ay Oc. ay O d. ax

A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have length L = 45. cm.The rod carries a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?

Please answer the question

Suppose we want to rotate a loop of wire using a magnetic field. The loop of wire lies on the yz plane, and current goes in the counterclockwise direction (looking at the yz plane). If we want the axis of rotation to be the z axis, what direction should the magnetic field point? ty +z O0 000 O