Electromagnetic force on a positively charged particle

[Sat-P]

Homework Statement

It's not a question, but this is something I tried to derive using the Lorentz force equation on a charged particle.

Relevant Equations

F= qE + qv×B

 

[kuruman]

Please state what exactly you are trying to derive.

 

[Sat-P]

Magnitude of the net force acting on the charged particle due to both fields

 

[kuruman]

Magnitude of the net force acting on the charged particle due to both fields

Then I suggest that you write each of the vectors involved in unit vector notation, add them to get the Lorentz force as per the equation you posted and finally find its magnitude. It will be the square root of the sum of the components squared and will depend on how you chose the three vectors.