Problem 2 Magnetic force on a proton A proton having a speed of 50 x 10 m/s in a magnetic field feels a force of 80 x 10-14N toward the west when it moves vertically upward (see Fig. at the right). When moving horizontally in a northerly Moving into page (north) (west) direction, it feels zero force (see Fig. b). Determine the magnitude and direction of the magnetic field in this region. (The charge on a proton is q = +e = 16 x 10-¹C). Approach Since the proton feels no force when moving north, the field must be in a north- south direction. In order to produce a force to the west when the proton moves upward, the right-hand rule tells us that B must point toward the north. (Your thumb points west and the outstretched fingers of your right-hand point upward only when your bent fingers point north.) The magnitude of B is found using this formula, F = qvB sin 8. (up)

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Problem 2
Magnetic force on a proton
A proton having a speed of 50 x 10 m/s in a
magnetic field feels a force of 80 x 10-14N toward the
west when it moves vertically upward (see Fig. at the
right). When moving horizontally in a northerly
Moving into
page (north)
(west)
direction, it feels zero force (see Fig. b). Determine the
magnitude and direction of the magnetic field in this
region. (The charge on a proton is q = +e = 16 x 10-¹C).
Approach
Since the proton feels no force when moving north, the field must be in a north-
south direction. In order to produce a force to the west when the proton moves
upward, the right-hand rule tells us that B must point toward the north. (Your
thumb points west and the outstretched fingers of your right-hand point upward
only when your bent fingers point north.) The magnitude of B is found using this
formula, F = qvB sin 8.
(up)
Transcribed Image Text:Problem 2 Magnetic force on a proton A proton having a speed of 50 x 10 m/s in a magnetic field feels a force of 80 x 10-14N toward the west when it moves vertically upward (see Fig. at the right). When moving horizontally in a northerly Moving into page (north) (west) direction, it feels zero force (see Fig. b). Determine the magnitude and direction of the magnetic field in this region. (The charge on a proton is q = +e = 16 x 10-¹C). Approach Since the proton feels no force when moving north, the field must be in a north- south direction. In order to produce a force to the west when the proton moves upward, the right-hand rule tells us that B must point toward the north. (Your thumb points west and the outstretched fingers of your right-hand point upward only when your bent fingers point north.) The magnitude of B is found using this formula, F = qvB sin 8. (up)
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