Q. 3

# A magnetic field

Given - Magnetic field, B = 4.0 × 10–3 T

Electric charge on the particle, q = 1 × 10−9 C

Also given that the charge is going in the X-Y plane,

Therefore, the x-component of force, Fx = 4 × 10−10 N

and the y-component of force, Fy = 3 × 10−10 N

We know, Lorentz force F is given by - where,

q = charge

v = velocity of the charge

B=magnetic field

and

θ= angle between V and B On putting the respective values, we get

Let’s take motion along x-axis-

From (1)  Similarly, motion along y-axis

from (1)  Hence. velocity of the particle, = m/s

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