# Difficult to imagine!

A charged particle of mass $$\displaystyle m$$ and charge $$\displaystyle q$$ is released from the origin with a velocity $$\displaystyle \vec{v} = v_o \hat{i}$$ in a uniform magnetic field $$\displaystyle \vec{B} = \frac{B_o}{2}\hat{i} + \frac{\sqrt{3}B_o}{2}\hat{j}$$

If $$\displaystyle R$$ represents the pitch (in meters) of the helical path described by the particle, the find the value of $$(R-11)$$ to the nearest integer.

Details and Assumptions:
$$\bullet$$ Consider a standard Right-handed Cartesian coordinate system.
$$\bullet$$ $$\displaystyle m = 0.1g$$
$$\bullet$$ $$\displaystyle q = 10\mu C$$
$$\bullet$$ $$\displaystyle v_o = 20 m/s$$
$$\bullet$$ $$\displaystyle B_o = 8 T$$

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