Below is a simplified diagram of a generator, looking at it head-on. The coil is rotating clockwise.   (a) At what position is it cutting the field lines fastest?   (b) At what position is its vertical velocity zero?   (c) Why is no current induced when the coil is vertical?

The figure below is a graph of the induced emf versus time for a coil of N turns rotating with angular speed w in a uniform magnetic field directed perpendicular to the coil's axis of rotation. Copy thi sketch (on a larger scale), and on the same set of axes show the graph of emf versus t. On the same graph, plot the following changes and provide answers to the corresponding questions. & (mV) 10 -5 -10 V 2 3 t (ms) (a) The number of turns in the coil is doubled which causes the amplitude to ---Select--- (b) The angular speed is doubled which causes the amplitude to ---Select--- and the period to ---Select--- and the period to ---Result--- 0 (c) The angular speed is doubled while the number of turns in the coil is halved which causes the amplitude to ---Result--- and the period to ---Result--- G

When you move a magnet through a 1 loop coil you detect a voltage of 0.001 volts, what voltage would you read if you move the same magnet at the same velocity through a coil with 1000 loops (assume the radius of the loops in the coil is the same as the one in the single loop wire)

Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in the plane of the page. The wire is parallel to the long sides of the loop and is 0.5 m away from the closer side. At an instant when the voltage induced in the loop is 2.5 V, what is the time rate of change of the current in the wire? 0.50 m] 3.0 m 0.50 m a. What is the expression for magnetic field B due to the current I in the long, straight wire, at distance r away from the wire? B = . Give your answer in terms of given variables (I, r) and physical and numerical constants (o, T, ke, and/or c). Spell out Greek letters and use underscore ("_") for subscripts. b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic flux, = = [₁ BdA. Find the magnetic flux through the loop as a function of I ( will be proportional to I, as shown below; find the coefficient, in base SI units). Hint for (b) Φ I. Give your answer in terms of given…