Particle accelerators, such as the large hadron collider, use magnetic fields to steer charged particles around a ring consider a proton ring with 36 identical bending magnets connected by straight segments. the protons move along a 1.0-m-long circular arc as they pass through each magnet. part a what magnetic field strength is needed in each magnet to steer protons around the ring with a speed of 2.0 x 10 m/s? assume that the field is uniform inside the magnet, zero outside. express your answer with the appropriate units

Explanation:

The magnetic field can be find using the equation

You can cancel a element of v'

Solve to magnetic field

The charge and mass of the proton are:

,

Replacing numeric

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min