In: Physics
A proton (charge 1:6 x 10^-19 C) is stationary at the point (2:0 mm; 0; 0) of a chosen (x; y; z)- coordinate system. An electron (charge ?1:6 10?19 C) travels with a speed v = 100 m/s along the z-axis. What is the magnetic force on the proton due to the passing electron?
Summary:
to find the magnetic force on proton due to the pasing electron we
first need to find current due to the passage of electron. Let the
currently I ampear. Now I need to find the magnetic field at the
position of proton due to this electron current which is is given
by ampere circuital law. And now to find the force on proton I used
the expression for the force in terms of velocity and magnetic
field. Since the velocity of proton is zero because it is
stationary therefore the force acting on the proton will be
zero.