# Charge in Variable Magnetic Field-2

Electricity and Magnetism Level 4

On a normal co-ordinate axis. A magnetic field exists given by $$B=-{ B }_{ 0 } x \hat { k }$$ . A point particle of charge $$q$$ and mass $$m$$ is placed at the origin and given an initial velocity $$v_{0}$$ in the positive x direction. What is the maximum x co-ordinate it can reach?

You are given $$m=1kg\\ q=1C\\ B_{ 0 }=1T/m\\ v_{ 0 }=2m/s$$

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