6.15 understand that a voltage is induced in a conductor or a coil when it moves through a magnetic field or when a magnetic field changes through it and describe the factors which affect the size of the induced voltage

If you move a wire back and forth across a magnetic field a voltage will be induced.

If you move a magnet back and forth through a coil of wire a voltage will be induced.

If you increase the magnetic field strength, quicken the movement or increase the coils of wire you can increase the voltage induced!

6.14 describe how the force on a current-carrying conductor in a magnetic field increases with the strength of the field and with the current.

If you have a wire in a magnetic field, if you increase the current there will be more force on the wire; if you increase the strength of the magnetic field there will be more force on the wire.

6.13 use the left hand rule to predict the direction of the resulting force when a wire carries a current perpendicular to a magnetic field

wikipedia

The magnetic field finger is pointing south. The current finger is pointing negative.

6.12 understand that a force is exerted on a current-carrying wire in a magnetic field, and how this effect is applied in simple d.c. electric motors and loudspeakers

If there is a wire- with a current running through- in a magnetic field it will experience a force ie it will be pushed up or down.

In a DC motor, there is a wire in a magnetic field. The force it experiences turns it around, this turns a 'split ring commutator' this basically is where charge goes from 'brushes' into the wires. The best way to understand them is with an animation or picture:
http://www.animations.physics.unsw.edu.au/jw/electricmotors.html

hades.mech.northwestern.edu

In a loud speaker, a coil is in a magnetic field. When a current is run through it the wire will experience a force that pushes it away from the field, this in turn pushes a cone which makes the sound. Whatever frequency the AC current is at, the coil will move at that frequency, making a note of a certain pitch.

www.nuffieldfoundation.org

6.11 understand that there is a force on a charged particle when it moves in a magnetic field as long as its motion is not parallel to the field

if something with a charge is moving across a magnetic field, it will experience a force from the field. Unless of course it is parallel in which case it wont need to as it is already in a place the field would want to move it to.

6.10 sketch and recognise magnetic field patterns for a straight wire, a flat circular coil and a solenoid when each is carrying a current

a field around a straight wire is simply a series of circles around the wire.



A field around a solanoid is similar to that of a bar magnet.




A field around a flat coil is basically like a single wire, but there are two.

6.9 describe the construction of electromagnets

A piece of wire is wrapped around a soft magnetic material. When there is a current in the wire, a magnetic field is induced in the metal.