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.