What is the formula for the magnetic force experienced by a charged particle moving in a magnetic field?
Practice Questions
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Q1
What is the formula for the magnetic force experienced by a charged particle moving in a magnetic field?
F = qE
F = qvBsin(θ)
F = mv^2/r
F = BIL
The magnetic force on a charged particle is given by F = qvBsin(θ), where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Questions & Step-by-step Solutions
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Q
Q: What is the formula for the magnetic force experienced by a charged particle moving in a magnetic field?
Solution: The magnetic force on a charged particle is given by F = qvBsin(θ), where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Steps: 5
Step 1: Identify the variables in the formula. You need to know the charge (q) of the particle, its velocity (v), the strength of the magnetic field (B), and the angle (θ) between the particle's velocity and the magnetic field.
Step 2: Understand the formula. The formula for the magnetic force (F) is F = qvBsin(θ). This means that the force depends on all four variables.
Step 3: Calculate the sine of the angle (θ). Use a calculator or trigonometric table to find sin(θ).
Step 4: Multiply the values together. First, multiply the charge (q) by the velocity (v) and the magnetic field strength (B). Then, multiply that result by sin(θ).
Step 5: The final result is the magnetic force (F) experienced by the charged particle.