Phy201
Phy201 Dr.Hikmat Dr.Hikmat A. A. HamadHamad Page 1Page 1
(c) the positive x direction. (c) the positive x direction.
2.
2. A positively charged particle has a velocity in the A positively charged particle has a velocity in the negativenegative z z direction at point P. The direction at point P. The magnetic force on the particle at this point is in the
magnetic force on the particle at this point is in the negativenegative y y direction. Which one of thedirection. Which one of the following statements about the magnetic field at point P
following statements about the magnetic field at point P can be determined from this dcan be determined from this data?ata?
a.
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3.
3. An electron has a velocity of 6 An electron has a velocity of 6 ×× 10 10 m/s in the positive m/s in the positive x x direction at a point where the direction at a point where the magnetic field has the components
magnetic field has the components B B x x = 3 T, = 3 T, B B y y = 1.5 T and= 1.5 T and B B z z = 2 T. What is the= 2 T. What is the magnitudemagnitude of the acceleration of the electron at this point?
of the acceleration of the electron at this point? Answer.Answer. 2.6 x 10 2.6 x 101818 m/s m/s22
4.
4. A particle ( A particle (qq = 5 nC, = 5 nC, mm = 3 = 3 µ µgg) moves in a region where the magnetic field has) moves in a region where the magnetic field has components
components B B x x = 2 mT,= 2 mT, B B y y = 3 mT, and= 3 mT, and B B z z = – 4 mT. At an instant when the speed of the = – 4 mT. At an instant when the speed of the particle is 5000 m/s and the directi
particle is 5000 m/s and the direction of its velocity is 120on of its velocity is 120°° relative to the magnetic field, relative to the magnetic field, what is the
what is the magnitudemagnitude of the acceleration of the particle? of the acceleration of the particle? Answer.Answer. 39 m/s39 m/s22
5.
5. A 2 C charge moves with a velocity of (2 A 2 C charge moves with a velocity of (2ii + 4 + 4 j j + 6 + 6kk) m/s and experiences a magnetic) m/s and experiences a magnetic force of (4
force of (4ii – 20 – 20 j j + 12 + 12kk) N. The) N. The x x component of the magnetic field is equal to zero.component of the magnetic field is equal to zero. Determine the
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6.
6. A proton travels with a speed A proton travels with a speed of 5.02 x 10of 5.02 x 1066m/s in a direction that makes an angle of 60.0m/s in a direction that makes an angle of 60.0oo
with the direction of a
with the direction of a magnetic field of magnitude 0.180 T in magnetic field of magnitude 0.180 T in the positive x direction. Whatthe positive x direction. What are the magnitudes of (a) the magnetic force on the proton and (b) the proton’s acceleration? are the magnitudes of (a) the magnetic force on the proton and (b) the proton’s acceleration?
7. An electron is accelerated through 2.40 x 10
7. An electron is accelerated through 2.40 x 1033 V from rest and then enters a uniform 1.70 T V from rest and then enters a uniform 1.70 T magnetic field. What are
magnetic field. What are (a) the maximum and (a) the maximum and
(b) the minimum values of the magnetic force this particle experiences? (b) the minimum values of the magnetic force this particle experiences?
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8.
8. A A proton proton moves moves with with a a velocity velocity of of in in a a region region in in which which thethe magnetic
magnetic field field is is What What is is the the magnitude magnitude of of the the magnetic magnetic force force this this particleparticle experiences?
experiences?
9. A proton moves perpendicular to a uniform magnetic field
9. A proton moves perpendicular to a uniform magnetic field BB at a speed of 1.00 x 107 m/sat a speed of 1.00 x 107 m/s and experiences an acceleration of 2.00x 10
and experiences an acceleration of 2.00x 101313 m/s m/s22 in the in the positive x- directionpositive x- direction when itswhen its velocity is in the
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10. An electron moves in a circular path perpendicular to a uniform magnetic field with a 10. An electron moves in a circular path perpendicular to a uniform magnetic field with a magnitude of 2.00 mT. If the speed of the electron is 1.50 x 10
magnitude of 2.00 mT. If the speed of the electron is 1.50 x 1077m/s, determine (a) the radiusm/s, determine (a) the radius
of the circular path and (b) the time interval required to complete one revolution. of the circular path and (b) the time interval required to complete one revolution.
11. A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.450 T 11. A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.450 T over a region of radius 1.20 m. What are (a) the
over a region of radius 1.20 m. What are (a) the cyclotron frequencycyclotron frequencyand (b) the maximumand (b) the maximum speed acquired by the protons?
speed acquired by the protons?
12. A wire carries a steady current of
12. A wire carries a steady current of 2.40 A. A straight secti2.40 A. A straight section of the wire is 0.750 m on of the wire is 0.750 m longlong and lies along the x axis within a uniform magnetic field,
and lies along the x axis within a uniform magnetic field, If the current is inIf the current is in the positive x direction, what is the
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13.
13. A straight wire carries a current of 40 A in a uniform magnetic field of 80 A straight wire carries a current of 40 A in a uniform magnetic field of 80 mTmT. If the. If the force per unit length on this wire is 2 N/m, determine the
force per unit length on this wire is 2 N/m, determine the angleangle between the wire and the between the wire and the magnetic field.
magnetic field. Answer.Answer. either 39 either 39°° or 141 or 141°°
14.
14. A straight wire is bent into A straight wire is bent into the shape shown. Determine thethe shape shown. Determine the net magnetic forcenet magnetic force on the on the wire when the current
wire when the current I I travels in the direction shown in the magnetic field travels in the direction shown in the magnetic field BB.. Justify your Justify your choice by drawin
choice by drawing and calculg and calculations.ations.
a.
a. 2 2 IBL IBL in the – in the – z z direction direction
b.
b. 22 IBL IBL in the + in the + z z direction direction
c.
c. 4 4 IBL IBL in the + in the + z z direction direction
d.
d. 4 4 IBL IBL in the – in the – z z direction direction
e.
e. zero zero
F=I LxB= I(2L) B sin90=2ILB in the +z direction
F=I LxB= I(2L) B sin90=2ILB in the +z direction
15.
15. A straight wire is bent into A straight wire is bent into the shape shown. Determine thethe shape shown. Determine the net magnetic forcenet magnetic force on the on the wire.
wire. Justify your choiceJustify your choice..
a.
a. Zero Zero
b.
b. IBL IBL in the + in the + z z direction direction
c.
c. IBL IBL in the – in the – z z direction direction
d.
d. 1.71.7 IBL IBL in the + in the + z z direction direction
e.
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16.
16. A A protonproton moves around a circular path (radius = 2 mm) in a uniform 0.25T magnetic moves around a circular path (radius = 2 mm) in a uniform 0.25T magnetic field. What
field. What total distancetotal distance does this proton travel dur does this proton travel during a 1s time interval?ing a 1s time interval? (m
(m p p = 1.67 x 10 = 1.67 x 10-27-27 kg, q = 1.6 x 10 kg, q = 1.6 x 10-19-19 C). C). Answer.Answer. 48 km 48 km
17.
17. What is the What is the radiusradius of curvature of the path of a 3 keVof curvature of the path of a 3 keV protonproton in a in a perpendicularperpendicular
magnetic field of magnitude 0.8 T? (1 eV = 1.6 x10
magnetic field of magnitude 0.8 T? (1 eV = 1.6 x10-19-19 J) J) Answer.Answer. 9.9 mm9.9 mm
18
18. A 0.200-kg m. A 0.200-kg metal rod carrying a current etal rod carrying a current of of I =10.0 AI =10.0 Aslidesslides on two hor on two horizontal railsizontal rails that are a di
that are a distance stance d = 0.500 m d = 0.500 m apart. If the coefficient apart. If the coefficient ofof kinetic frictionkinetic friction between the rod between the rod and rails is 0.100, what vertical magnetic field B is required to keep the rod moving at a and rails is 0.100, what vertical magnetic field B is required to keep the rod moving at a
constant speed
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19. A charged particle (
19. A charged particle (mm = 2.0 g, = 2.0 g, qq == −−5050 µ µ C) moves in a region of uniform field along aC) moves in a region of uniform field along a
helical path (radius = 4.0 cm, pitch = 8.0 cm) as shown. What is the angle between the helical path (radius = 4.0 cm, pitch = 8.0 cm) as shown. What is the angle between the velocity of the particle and the magnetic field? Ans: 72
velocity of the particle and the magnetic field? Ans: 72oo
20. A 0.200-kg m
20. A 0.200-kg metal rod carrying a current etal rod carrying a current of of I =10.0 AI =10.0 Aslidesslides on two horizontal rails thaton two horizontal rails that are a distance d = 0.500 m apart. If the coefficient of
are a distance d = 0.500 m apart. If the coefficient of kinetic frictionkinetic friction between the rod and between the rod and rails is 0.100, what vertical magnetic field B is
rails is 0.100, what vertical magnetic field B is required to keep the rod required to keep the rod moving at amoving at a constantconstant speed
