Electromagnetic Induction: Induced EMF and current.

Two parallel loops of wire having the same common axis. the smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. the magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. suppose that x is increasing at a constant rate dx/dt = v. (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the induced current.

Induction and Energy Transfer

A metal rod is forced to move constant velocity V along two parallel metal rails, connected with a strip of metal at one end. A magnetic field of magnitude B = .350T points out of the page. a) if the rails are separated by a 25.0 cm and the speed of the rod is 55.0 cm/s, what emf is generated? b) if the rod has a resistance of 18ohms and the rails and connector have negligible resistance, what is the current in the rod? c) at what rate is energy being transfered to thermal energy?

Mutual induction

Two solenoids are part of a spark plug coil of an automobile. When the current in one solenoid falls from 6.0A to zero in 2.5ms, an emf of 30KV is induced in the other solenoid. What is the mutual inductance M of the solenoids?

Electrons

Please answer all questions with full explanations thankyou In an electron microscope electrons are accelerated to a voltage of 15kV using an 'electron gun'. 1) If the cathode and anode are 0.4cm apart calculate the electric field 2) What is the force on an electron in this field? 3) What is the acceleration of an electron in this field? 4) What is the velocity of this electron when it reaches the anode? 5) Are relativistic affects likely to make your calculation imprecise?

Motion of a charge particle in Magnetic and electric field.

A positive ion with charge 4.8 x 10(-19) C is traveling at a speed of 3 x 10(7) ms(-1) above the earth's atmosphere from East to West along the equator. The earth's magnetic field runs North-South. 1) Draw a sketch showing clearly the direction of motion of the charge, the lines of magnetic force and the direction of the magnetic force on the ion. 2) Calculate the magnetic force if the earth's field is B= 1.2 x 10(-4) T 3) What would be the radius of the particles motion if the magnetic force remained constant ( mass of the ion = 6.7 x 10(-26) kg ) 4) What electric field in a particle detector would keep the ion moving in a straight line?