2. A particle charged with +20 µC moves at a speed of 50 km/s in the positive z direction. It enters the magnetic field of a particle detector, which is given (in Tesla) by B = 0.33 +0.7k Find the initial force on the particle.

2. A particle charged with +20 µC moves at a speed of 50 km/s in the positive z direction. It enters the magnetic field of a particle detector, which is given (in Tesla) by B = 0.33 +0.7k Find the initial force on the particle.

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Question

2. A particle charged with +20 μC moves at a speed of 50 km/s in the positive z direction. It
enters the magnetic field of a particle detector, which is given (in Tesla) by
B = 0.3j+0.7k. Find the initial force on the particle.

Expert Solution

Step 1

When a charged particle enters a magnetic field, it is acted upon by a magnetic force, given by the expression

$F = q (v \times B) q i s t h e m a g n i t u d e o f t h e c h a r g e v i s t h e v e l o c i t y o f t h e c h a r g e B i s t h e m a g n e t i c f i e l d$

From the given problem

$q = 20 μ C = 20 \times 10^{- 6} C v = 50 i k m / s = 50 \times 10^{3} i m / s B = 0.3 j + 0.7 k$

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