A charge projected with velocity of 10 m/s in a magnetic field of 10 T at an angle of 60°, if force exerted on charge is 2.78 x 10^-17 N, then value of charge is:
Correct answer: C. 3.2 x 10^-19C
- A. 1.6 x 10^-19C
- B. 2.7 x 10^-19C
- C. 3.2 x 10^-19C
- D. 4.8 x 10^-19C
Explanation
The equation for this scenario is; Magnetic Force= Bqv sin(X) where B is the magnetic field strength, q is the charge and v is the velocity of the charge. As we have the angle, the velocity, the magnetic field strength as well as the magnetic force, we can make q the subject to find the magnitude of the charge.
This question appeared on the UHS MDCAT 2017 paper, which you can sit online with every answer explained.
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About Charged Particle in a Magnetic Field
A charged particle moving through a magnetic field experiences the Lorentz force, which is perpendicular to both its velocity and the field. The motion may be circular or helical, with questions involving radius, angular frequency, time period, and work done. A stationary charge feels no magnetic force.
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