A particle having a charge of 1.6×10−19 1.6×10 −19 coulomb is moving with a speed of 7×107𝑚/𝑠 7×10 7 m/s in a magnetic field of 4T perpendicular to it. Calculate the force experienced by the moving charged particle.2.24×10−12𝑁2.24×10 −12 N4.48×10−12𝑁4.48×10 −12 N4.48×10−11𝑁4.48×10 −11 N2.24×10−11𝑁2.24×10 −11 N
Question
A particle having a charge of 1.6×10−19 1.6×10 −19 coulomb is moving with a speed of 7×107𝑚/𝑠 7×10 7 m/s in a magnetic field of 4T perpendicular to it. Calculate the force experienced by the moving charged particle.2.24×10−12𝑁2.24×10 −12 N4.48×10−12𝑁4.48×10 −12 N4.48×10−11𝑁4.48×10 −11 N2.24×10−11𝑁2.24×10 −11 N
Solution
The force experienced by a moving charged particle in a magnetic field is given by the equation F = qvBsinθ, where:
F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
In this case, the particle is moving perpendicular to the magnetic field, so θ = 90 degrees and sinθ = 1.
Substituting the given values into the equation:
F = (1.6×10^-19 C)(7×10^7 m/s)(4 T)(1) F = 4.48×10^-12 N
So, the force experienced by the moving charged particle is 4.48×10^-12 N.
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