Answer :
Magnitude of the charge on the particle is 0.02 C
What is a magnetic field?
A changing electric field in which a magnetic field, a vector field near a magnet, an electric current, or a magnetic force is observable. A magnetic field like the earth aligns a magnetic compass needle or other permanent magnet with it. Magnetic fields cause charged particles to move in circular or spiral paths. This force - applied to the current in wires in a magnetic field - underlies the operation of electric motors.
Applying,
F = qvBsinФ
Where F = Force on the charged particle
q = charge on the particle
v = velocity
B = magnetic field
Ф = angle
Since the charged particle moves in a circle,
F = mv²/r
Where m = mass of the particle, v = velocity of the particle, r = radius of the circle
So,
mv²/r = qvBsinФ
make q the subject of the equation
q = mv/(rBsinФ)
Given: m = 0.005 kg
v = 4 m/s
r = 0.2 m
B = 5 T
Ф = 90° (Act at right angle)
Now, substitute the values in above equation:
q = (0.005×4)/(0.2×5×sin90°)
q = 0.02 C
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