# Chapter 22 - Chapter 22 1 Picture the Problem A proton...

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Chapter 22 1. Picture the Problem: A proton moves in a magnetic field that is directed at right angles to its velocity. Strategy: Combine Newton's Second Law with the magnetic force (equation 22-1) to find the acceleration of the particle. Solution: Set the magnetic force equal to the mass multiplied by the acceleration and solve for a : Insight: If the magnetic field were parallel to the velocity, the angle θ = 0° and the force and acceleration would be zero. 8. Picture the Problem: An electron moves in a region in which a magnetic field exists. Strategy: The ion experiences no magnetic force when it is moving in the direction, so we conclude that the magnetic field also points along either the direction. We can use either the Left-Hand Rule for negative charges, or use the Right-Hand Rule and remember to reverse the direction of the force because the charge on the electron is negative. Try pointing your left thumb downwards ( direction) and the fingers of your left hand in the direction to find that the magnetic field must point in the direction. Then use equation 22-1 and the force experienced by the electron when it moves in the direction to find the magnitude of Solution: Use equation 22-1 to find Insight: If instead the electron were to travel in the direction, it would experience a force 9. Picture the Problem: Two charged particles travel in a magnetic field along the same direction and experience the same magnetic force, but they travel at different speeds. Strategy: Use equation 22-1 to calculate the ratio of the speeds of the particles. Solution: 1. (a) Since the magnetic force is directly proportional to both the charge and the speed of the particles, and since the particles experience the same force, particle 2 must have a greater speed because particle 1 has the greater charge. 2. (b) Use equation 22-1 to find the ratio: Insight: Suppose both charges were allowed to travel in circles as described in section 22-3. Assuming both charges have the same mass, we find that

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Chapter 22 - Chapter 22 1 Picture the Problem A proton...

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