How Do You Solve for 'v' in the Equation F = qE + qvB?

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Homework Help Overview

The discussion revolves around rearranging the equation F = qE + qvB to solve for the variable 'v'. The context is rooted in physics, specifically in the study of forces and motion involving electric and magnetic fields.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to manipulate the equation to isolate 'v'. There are various rearrangements proposed, with some questioning the correctness of the steps taken. One participant suggests simplifying the equation by isolating terms involving 'v' and dividing by 'qB'. Others express uncertainty about the implications of these manipulations.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the rearrangement process. Some guidance has been offered regarding isolating 'v', but there is no explicit consensus on the correct final form of the equation.

Contextual Notes

Participants have noted challenges with rearranging equations and the implications of terms like 'q' and 'B' in the context of the problem. There is an acknowledgment of potential confusion regarding how these variables interact in the equation.

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Homework Statement


so, the question is basically asking me to rearrange F = qE + qvB to find 'v'.

The Attempt at a Solution


I'm not the greatest at rearrangements, but here is my attempt.

F - qvB = qE
F - v = qE / qB (q values cancel each other out)
v = (E / B) + F

is this right, or have i gone wrong somewhere?

Any help would be much appreciated :)
 
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Dark_Dragon said:

Homework Statement


so, the question is basically asking me to rearrange F = qE + qvB to find 'v'.

The Attempt at a Solution


I'm not the greatest at rearrangements, but here is my attempt.

F - qvB = qE
F - v = qE / qB (q values cancel each other out)
v = (E / B) + F

Let's make things simpler and write:

qvB=F-qE

you should understand this (we are making the term we want as the subject)

Since we don't want the 'q' and 'B' to be by the 'v', what happens if we divide both sides by 'qB'?
 
wouldn't you get:
v = (F - E) / B ?
 
Dark_Dragon said:
wouldn't you get:
v = (F - E) / B ?

There no 'qB' by the 'F', so the 'F' becomes 'F/qB'.
 

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