Magnetic Field Proton Problem

1. Jun 29, 2007

frankfjf

1. The problem statement, all variables and given/known data

A proton moves through a uniform magnetic field given by B = (10i - 20j +30k)mT. At time t1, the proton has a velocity given by v = vxi + vyj + (2.0km/s)k and the magnetic force on the proton is F = (4.0 x 10^-17N)i + (2.0 x 10^-17N)k. At that instant, what are (a) vx and (b) vy?

2. Relevant equations

F = qv x B

3. The attempt at a solution

After taking the cross product I get an equation that looks like:

4 x 10^-17Ni + 2 x 10^-17Nj = e(.03vy + 40)i + (20 - .03vx)j - (.02vx - .01vy)k

It's at this point that I blank out. The Student Solutions Manual says that the next step is to equate corresponding components, but what do they mean by this? Set vy to zero then solve for vx and vice versa?

2. Jun 29, 2007

frankfjf

Nevermind! I figured it out.

3. Jul 3, 2007

Proof.Beh

we have F=|q|v*B then according to determinant (matrix.JPG) derive that
q(-40-3vy)i-q(20-3vx)j+q(10vy+20vx)k=F then we get

q(20-3vx)=0 --> vx=20/3
q(10vy+20vx)k=2*10^{-17} --> vy

Has it any problem?

Thanks.
Mr Beh

Attached Files:

• matrix.JPG
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4. Nov 30, 2011

bilal232lagcc

What is the solution to this problem ... I am stuck at the same step as you were ? Please Help