In the figure the blue region represents a magnetic field B, = 3.3 T and the green region represents a magnetic field B2 = 2.1 T. A particle with charge q = 4.7 pC, mass m = 0.025 gram and velocity v = 12 m/s travels toward the blue regi as shown in the figure. a) What will be the shape of the path followed by the charge? Explain why this particular shape. b) Draw a schematic diagram to show the direction of the force for this system. c) Calculate the angular frequency of the par ticle when it is in the blue and when it is in the green region. What will happen to the angular frequency in the blue region if we double the velocity of the particle? angular frequency in blue region Give your answer up to at least three significance digits. rad/s angular frequency in green region Give your answer up to at least three significance digits. rad/s

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Chapter1: Units, Trigonometry. And Vectors
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Use the following constants if necessary. Coulomb constant, k = 8.987 x 109N m2/c2. Vacuum permi tivity,
€g = 8.854 x 10 -12 F/m. Magnetic Permeability of vacuum, o = 12.566370614356 x 10-7H/m. Magnitude of the
Charge of one electron, e = - 1.60217662 x 10 -19 C. Mass of one electron, m, = 9.10938356 x 10 -31 kg. Unless
specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb.
In the figure the blue region represents a magnetic field B, = 3.3 T and the green region represents a magnetic field
B2 = 2.1 T. A particle with charge q = 4.7 µC, mass m = 0.025 gram and velocity v = 12 m/s travels toward the blue region
as shown in the figure.
a) What will be the shape of the path followed by the charge? Explain why this particular shape.
b) Draw a schematic diagram to show the direction of the force for this system.
c) Calculate the angular frequency of the particle when it is in the blue and when it is in the green region. What will
happen to the angular frequency in the blue region if we double the velocity of the particle?
angular frequency in blue region
Give your answer up to at least three significance digits.
rad/s
angular frequency in green region
Give your answer up to at least three significance digits.
rad/s
d) Will it be able to leave the blue region if h = 17.439 ?
If YES then calculate the minimum value of h for which it will not enter green region.
If NO then calculate the maximum value of h for which it will enter green region.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 109N m2/c2. Vacuum permi tivity, €g = 8.854 x 10 -12 F/m. Magnetic Permeability of vacuum, o = 12.566370614356 x 10-7H/m. Magnitude of the Charge of one electron, e = - 1.60217662 x 10 -19 C. Mass of one electron, m, = 9.10938356 x 10 -31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. In the figure the blue region represents a magnetic field B, = 3.3 T and the green region represents a magnetic field B2 = 2.1 T. A particle with charge q = 4.7 µC, mass m = 0.025 gram and velocity v = 12 m/s travels toward the blue region as shown in the figure. a) What will be the shape of the path followed by the charge? Explain why this particular shape. b) Draw a schematic diagram to show the direction of the force for this system. c) Calculate the angular frequency of the particle when it is in the blue and when it is in the green region. What will happen to the angular frequency in the blue region if we double the velocity of the particle? angular frequency in blue region Give your answer up to at least three significance digits. rad/s angular frequency in green region Give your answer up to at least three significance digits. rad/s d) Will it be able to leave the blue region if h = 17.439 ? If YES then calculate the minimum value of h for which it will not enter green region. If NO then calculate the maximum value of h for which it will enter green region.
di
B,
O Bz
d2
Transcribed Image Text:di B, O Bz d2
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