


1. 
a) 
Define the term magnetic flux density. 

b) 
An electron is moving at 10^{7}ms^{1}
at 90° to a uniform magnetic field. 


The electron follows a circular path of radius
5×10^{6}m. 


Calculate the magnitude of the flux density. 



2. 

A beam of alpha particles passes undeflected through a region of
space in which there are a magnetic field, of flux density
5×10^{2}T
and an electric field, of field strength 750Vm^{1}
at 90° to each other. 


Calculate the speed of the particles. 



3. 

A proton enters a uniform magnetic field of flux density 0.1T
with a velocity of 10^{4}ms^{1}
at 60° to the flux lines. 


It follows a helical path. 


Calculate 

a) 
the time taken to complete one revolution of the helical path 

b) 
the distance moved parallel to the flux lines during this time 

c) 
the kinetic energy possessed by the proton when it is in the
magnetic field (mass of a proton = 1.67×10^{27}kg). 



4. 

A very long straight wire lies along the z axis and carries a
current, I which flows in the positive z
direction in a vacuum (see diagram below). 











Two flux densities B_{A} and B_{B} are measured
at points A (x=0,
y=10cm,
z=0) and B (x=0,
y=20cm,
z=0) 

a) 
In which direction do B_{A} and B_{B} act? 

b) 
If I =1.5A,
calculate the magnitude of B_{A}. 

c) 
What value of current would produce a flux density at point B
equal to the value you have just calculated for B_{A}? 

d) 
Find the magnitudes and directions of the flux densities B_{C}
and B_{D} at the points C and D given that 


C has coordinates x=4cm,
y=4cm, z=0cm
and 


D has coordinates x=4cm,
y=4cm, z=10cm 



5. 

A piece of wire is 8cm long and
is placed at an angle of 30° to a magnetic field of flux density 0.5T. 


Calculate the magnitude of the force acting on the wire when a
current of 500mA flows through it. 


Name the rule used to predict the direction of the force on the
wire. 



6. 
a) 
Explain why a moving coil galvanometer must have control springs
(or something equivalent to control springs). 

b) 
How is a moving coil galvanometer made to have a high current
sensitivity? 

c) 
A moving coil galvanometer could be made without a soft iron
cylinder. 


What would be the main disadvantage of a meter without a soft
iron cylinder? 



7. 

Two straight wires are parallel to each other and
5cm apart. 


Wire AB has a current of I_{1}=5A
flowing through it and wire CD has a current of I_{2}=20A
flowing through it (see diagram below). 





What is the magnitude and direction of the electromagnetic
force acting on wire AB? 