Exam 28: Sources of Magnetic Field
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A long straight very thin wire on the y-axis carries a 10-A current in the positive y-direction.A circular loop 0.50 m in radius,also of very thin wire and lying in the yz-plane,carries a 9.0-A current,as shown.Point P is on the positive x-axis,at a distance of 0.50 m from the center of the loop.What is the magnetic field vector at point P due to these two currents?



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D
A negatively charged particle is moving to the right,directly above a wire having a current flowing to the right,as shown in the figure.In which direction is the magnetic force exerted on the particle? 

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D
Three very long,straight,parallel wires each carry currents of 4.00 A,directed out of the page as shown in the figure.The wires pass through the vertices of a right isosceles triangle of side 2.00 cm.What is the magnitude of the magnetic field at point P at the midpoint of the hypotenuse of the triangle? 

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C
A rectangular loop of wire measures 1.0 m by 1.0 cm.If a 7.0-A current flows through the wire,what is the magnitude of the magnetic force on the centermost 1.0-cm segment of the 1.0-m side of the loop? 

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A very long,hollow,thin-walled conducting cylindrical shell (like a pipe)of radius R carries a current along its length uniformly distributed throughout the thin shell.Which one of the graphs shown in the figure most accurately describes the magnitude B of the magnetic field produced by this current as a function of the distance r from the central axis? 

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Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers.



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A tube with a 3.0-mm radius has ions flowing through it along its length.To determine the rate at which the charge is being moved through the tube,the magnetic field just outside the tube is measured and found to be
If the only contributor to the magnetic field is the moving ions,and if the walls of the container are very thin and do not screen magnetism,what is the magnitude of the current flowing through the tube? 


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As shown in the figure,a wire is bent into the shape of a tightly closed omega (Ω),with a circular loop of radius 4.0 cm and two long straight sections.The loop is in the xy-plane,with the center at the origin.The straight sections are parallel to the x-axis.The wire carries a 5.0-A current,as shown.What is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 T • m/A) 

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A very long straight wire carries a 12-A current eastward and a second very long straight wire carries a 14-A current westward.The wires are parallel to each other and are 42 cm apart.Calculate the force on a 6.4 m length of one of the wires.(μ0 = 4π × 10-7 T • m/A)
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Consider a solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire.If the radius of the solenoid were doubled (becoming 2b),and all other quantities remained the same,the magnetic field inside the solenoid would
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A toroidal solenoid has a central radius of 0.50 m and a cross-sectional diameter of 10 cm.When a current passes through the coil of the solenoid,the magnetic field inside the solenoid at its CENTER has a magnitude of 2.0 μT.What is the largest value of the magnetic field inside the solenoid when this current is flowing? (μ0 = 4π × 10-7 T • m/A)
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A very long,solid,conducting cylinder of radius R carries a current along its length uniformly distributed throughout the cylinder.Which one of the graphs shown in the figure most accurately describes the magnitude B of the magnetic field produced by this current as a function of the distance r from the central axis? 

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A point charge Q moves on the x-axis in the positive direction with a speed of
A point P is on the y-axis at
The magnetic field produced at point P,as the charge moves through the origin,is equal to
When the charge is at
what is the magnitude of the magnetic field at point P? (μ0 = 4π × 10-7 T • m/A)




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A hollow cylinder with an inner radius of
and an outer radius of
conducts a 3.0-A current flowing parallel to the axis of the cylinder.If the current density is uniform throughout the wire,what is the magnitude of the magnetic field at a point
from its center? (μ0 = 4π × 10-7 T • m/A)



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A long straight conductor has a constant current flowing to the right.A wire rectangle is situated above the wire,and also has a constant current flowing through it (as shown in the figure).Which of the following statements is true? 

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The figure shows three long,parallel current-carrying wires.The magnitudes of the currents are equal and their directions are indicated in the figure.Which of the arrows drawn near the wire carrying current 1 correctly indicates the direction of the magnetic force acting on that wire? 

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A solenoid having N turns and carrying a current of 2.000 A has a length of 34.00 cm.If the magnitude of the magnetic field generated at the center of the solenoid is 9.000 mT,what is the value of N? 

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Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions.The wires are separated by 0.20 m.What is the magnitude of the magnetic field midway between the two wires? 

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At what distance from the central axis of a long straight thin wire carrying a current of 5.0 A is the magnitude of the magnetic field due to the wire equal to the strength of the Earth's magnetic field of about 5.0 × 10-5 T? (μ0 = 4π × 10-7 T ∙ m/A)
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As shown in the figure,two long straight wires are separated by a distance of
The currents are
to the right in the upper wire and
to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance
below the lower wire?







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