Please be clear 2. (parts (a)-(d): 4 pt) Suppose that you want a moving charged

Question

Please be clear

2. (parts (a)-(d): 4 pt) Suppose that you want a moving charged particle to experience zero net force (i.e, continue moving at a constant velocity) while inside a uniform magnetic field. To accomplish this, you can superimpose a uniform electric field in the same region of space as the magnetic field. (Ignore gravity.) For each case shown below, balance the net force on the particle shown by superimposing a uniform electric field in the same region of space as the provided uniform magnetic field, or vice versa (as requested in eaclh part). DRAW the necessary E-field or B-field lines on each diagram. (Use conventional symbols to denote into- page or out-of-page field lines.) r all answers, choose ONLY from the following six "cardinal" directions: to the right, to the left, toward top of page, toward bottom of page, into page, out of page a. draw needed electric field: b. draw needed magnetic field

Explanation / Answer

We can answer this question using Lorentz force equation.

As net force in uniform electric and magnetic field is given by

F = q(v x B + E)

Hence,

F = 0

When,

v x B = -E

Now, using this we can find for

(a) Here, v x B is in right hand side direction and hence, we should draw electric fiel lines towards left.(due to negative sign in v x B = -E)

(b) here , v x B is downwards so we should draw electric fiepd lines upwards direction.

(c) If we draw magnetic field lines out of the paper, we get v x B towards left, which we require so as to cancel electric field force towards right.

(d) In this case we need to draw magnetic field lines inwards the plane of paper so that v x B can be in opposete direction to E.

(e) as v and B are perpendicular in each case

v x B = vB = E

Using v = 3.3 x 104 m/s and B = 85000 G = 8.5 T

Electric field E = vB = 3.3 x 8.5 x 104 V/m

E = 2.805 x 105 V/m

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