Wednesday

April 16, 2014

April 16, 2014

Posted by **Jess** on Tuesday, February 23, 2010 at 11:20pm.

moving with velocity v in a magnetic field ~B has the form

F = q~v × B

One important fact about the cross-product is that for two vectors A and B , the following is

true A × B = −B × A which may also be determined by using the right-hand-rule. A convenient

way to calculate a cross-product is to decompose the vectors involved into x,y and z components,

and then use the following basic cross-product results for the basis vectors,

ˆx × ˆy = ˆz , ˆy × ˆz = ˆx , ˆz × ˆx = ˆy

Using the result just stated, the cross-products in the opposite order produce a minus sign,

ˆy × ˆx = −ˆz , ˆz × ˆy = −ˆx , ˆx × ˆz = −ˆy

so one only needs to remember the first three identities above, and these other identities can be

easily remembered. For this problem, use these identities to calculate the magnetic force on a

particle with a charge q = 7μC in a magnetic field B = (5 × 10−5 T)ˆy. Do the calculation for the

following three different velocities:

(a) v = v0ˆx

(b) v = v0ˆy

(c) v = v0 (x+y/suare root 2) where v0 = 5m/s

**Related Questions**

physics - Which of the following is correct for the charge in a magnetic field...

College physIcs - An electron travels at a speed of 4.0×104 m/s through a ...

physics - The key ingredient in anything magnetic is which of the following?. A...

Physics - An electron moving through a uniform magnetic field with a velocity of...

physics - A charge of -8.9 µC is traveling at a speed of 7.8 106 m/s in a ...

Physics - An electron is moving paralel to the Earth's surface at the equator in...

Electromagnetism - A particle with a mass of 6.64x10^-27 kg and a charge of +3....

physics (non-calc) - A particle of charge 2.5x10(^-6)C is moving at 1000 m/sec ...

Physical Science - The frequency of circular motion for a charged particle ...

Physics!!! - When does a magnetic field induce maximum EMF in a wire moving with...