Space station

Imagine a space station module shaped like a cylinder 30m long and 5m in diameter orbiting close to the earth above the earth's equater. What would be the maximum potential difference that could develop between the ends of the module.( I know that potential difference=EL but how do I find E? It is also equal to VB/C or v*magnetic field/speed of light)How would the module have to be oriented to get the maximum voltage difference? Could this voltage difference be used to supply the station with electric current, why or why not?

moving bar

How fast do we have to move the bar to put a voltage difference of 3.0 V across the bulb?

generator

Consider a generator constructed as shown in figure E8.14. The loop in this generator rotates at an angular rate of w. The slip rings in this design ensure that the same leg of the rotating loop is always connected to the same output terminal. Show that the potential difference between the output terminals is given by E= 'E0 cos (where = wt is the angle that the plane of the loop makes with the magnetic field direction at time t), and determine E0 in terms of the loop's length L, width W, the magnetic field strength B, and the loop's angular rotation rate w.

Flux

We know that the magnitude of the electric field at a point a distance r from an infinite straight wire with a uniformly distributed positive charge E =2k/r, where  is the charge per unit length on the wire. Imagine that we surround a portion of such a wire with a closed surface shaped like a cylindrical can. What is the total flux of the electric field through this surface? (hint: calculate first the flux through the two end caps, then the flux through the remainder, and sum)

Magnetic Field - In a circular region of radius r1 there is a uniform magnetic field coming out of the page and decreasing at a constant rate dB/dt = -K. A circular wire loop of radius r2 lies entirely outside the magnetic field region. In what direction does the conventional current I flow in the loop? What is the magnitude of I? Draw the induced (non-Coulomb) electric field in the loop. What is its magnitude?

In a circular region of radius r1 there is a uniform magnetic field coming out of the page and decreasing at a constant rate dB/dt = -K. A circular wire loop of radius r2 lies entirely outside the magnetic field region. In what direction does the conventional current I flow in the loop? What is the magnitude of I? Draw the induced (non-Coulomb) electric field in the loop. What is its magnitude?