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184_notes:examples:week10_force_on_charge [2017/10/29 22:23] – [Solution] tallpaul | 184_notes:examples:week10_force_on_charge [2017/11/02 13:32] (current) – dmcpadden | ||
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===Approximations & Assumptions=== | ===Approximations & Assumptions=== | ||
* The magnetic force on the charge contains no unknown contributions. | * The magnetic force on the charge contains no unknown contributions. | ||
+ | * The charge is moving at a constant speed (no other forces acting on it) | ||
===Representations=== | ===Representations=== | ||
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$$\vec{F}_B = q \vec{v} \times \vec{B} = 1.5 \text{ mC } \cdot 4\cdot 10^{-3} \text{ T} \cdot \text{m/s } \hat{z} = 6 \mu\text{N}$$ | $$\vec{F}_B = q \vec{v} \times \vec{B} = 1.5 \text{ mC } \cdot 4\cdot 10^{-3} \text{ T} \cdot \text{m/s } \hat{z} = 6 \mu\text{N}$$ | ||
- | Notice that the $\sin 90^{\text{o}}$ | + | Notice that the $\sin 90^{\text{o}}$ |
\begin{align*} | \begin{align*} |