184_notes:examples:week10_force_on_charge

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184_notes:examples:week10_force_on_charge [2017/10/29 22:23] – [Solution] tallpaul184_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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 FB=qv×B=1.5 mC 4103 Tm/s ˆz=6μN FB=qv×B=1.5 mC 4103 Tm/s ˆz=6μN
  
-Notice that the sin90o term evaluates to 1. This is the maximum value it can be, and we get this value because the velocity and the B-field are exactly perpendicular. Any other orientation would have yielded a weaker magnetic force. In fact, in the second case, when the velocity is parallel to the magnetic field, the cross product evaluates to 0. See below for both calculations.+Notice that the sin90o is equal to 1. This means that this is the maximum force that the charge can feel, and we get this value because the velocity and the B-field are exactly perpendicular. Any other orientation would have yielded a weaker magnetic force. In fact, in the second case, when the velocity is parallel to the magnetic field, the cross product evaluates to $0$. See below for the calculations.
  
 \begin{align*} \begin{align*}
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