# Differences

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184_notes:q_b_force [2020/08/23 17:27] dmcpadden |
184_notes:q_b_force [2021/06/08 14:43] (current) bartonmo |
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{{youtube> | {{youtube> | ||

- | ==== Magnetic Force Equation ==== | + | ===== Magnetic Force Equation ===== |

Mathematically, | Mathematically, | ||

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In terms of calculating the magnetic force, there are a couple of ways that we can go about the math. If you know the vector components of the velocity and magnetic field, one method you can use is the general [[183_notes: | In terms of calculating the magnetic force, there are a couple of ways that we can go about the math. If you know the vector components of the velocity and magnetic field, one method you can use is the general [[183_notes: | ||

- | === Magnitude of the Magnetic Force === | + | ===== Magnitude of the Magnetic Force ===== |

We can find the magnitude of any general cross product using $|\vec{a} \times \vec{b} |= |\vec{a}| |\vec{b}| sin(\theta)$ where $\theta$ is the angle between $\vec{a}$ and $\vec{b}$. In terms of the magnetic force then, we can find the magnitude by using: | We can find the magnitude of any general cross product using $|\vec{a} \times \vec{b} |= |\vec{a}| |\vec{b}| sin(\theta)$ where $\theta$ is the angle between $\vec{a}$ and $\vec{b}$. In terms of the magnetic force then, we can find the magnitude by using: | ||

$$F = q v B sin(\theta)$$ | $$F = q v B sin(\theta)$$ | ||

where F is the magnitude of the force, $q$ is the charge, $v$ is magnitude of the velocity (speed), and $B$ is the magnitude of the magnitude field. $\theta$ then is angle between the velocity of the charge and the magnetic field. This equation is often much easier to use and think about, but //it does not tell us anything about the direction of the force// - **only the magnitude**. | where F is the magnitude of the force, $q$ is the charge, $v$ is magnitude of the velocity (speed), and $B$ is the magnitude of the magnitude field. $\theta$ then is angle between the velocity of the charge and the magnetic field. This equation is often much easier to use and think about, but //it does not tell us anything about the direction of the force// - **only the magnitude**. | ||

- | === Direction of the Magnetic Force === | + | ===== Direction of the Magnetic Force ===== |

Just like we did with the [[184_notes: | Just like we did with the [[184_notes: | ||

[{{184_notes: | [{{184_notes: |