Exam 28: Magnetic Fields of Charged Particles in Motion

The figure shows two long,parallel current-carrying wires.The wires carry equal currents I₁ = I₂ = 20 A in the directions indicated and are located a distance d = 0.5 m apart.Calculate the magnitude and direction of the magnetic field at the point P that is located an equal distance d from each wire.(μ₀ = 4π × 10^-7 T • m/A)

Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are

Two very long parallel wires in the xy-plane,a distance 2a apart,are parallel to the y-axis and carry equal currents I as shown in the figure.The +z direction points perpendicular to the xy-plane in a right-handed coordinate system.If the left current flows in the +y direction and the right current flows in the -y direction,which one of the graphs shown in the figure below best represents the z component of the net magnetic field,in the xy-plane,as a function of x? (Caution: These graphs are not magnetic field lines.)

A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? (μ₀ = 4π × 10^-7 T • m/A)

The figure shows two long wires carrying equal currents I₁ and I₂ flowing in opposite directions.Which of the arrows labeled A through D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire?

A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? (μ₀ = 4π × 10^-7 T • m/A)

A solenoid is wound with 970 turns on a form 4.0 cm in diameter and 50 cm long.The windings carry a current I in the sense that is shown in the figure.The current produces a magnetic field,of magnitude 4.3 mT,near the center of the solenoid.Find the current in the solenoid windings.(μ₀ = 4π × 10^-7 T • m/A)

The figure shows three long,parallel,current-carrying wires.The current directions are indicated for currents I₁ and I₃.The arrow labeled F represents the net magnetic force acting on current I₃.The three currents have equal magnitudes.What is the direction of the current I₂?

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? (μ₀ = 4π × 10^-7 T • m/A)

A point charge Q moves on the x-axis in the positive direction with a speed of 370 m/s.A point P is on the y-axis at y = +80 mm.The magnetic field produced at point P,as the charge moves through the origin,is equal to When the charge is at x = +40 mm,what is the magnitude of the magnetic field at point P? (μ₀ = 4π × 10^-7 T • m/A)

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? (μ₀ = 4π × 10^-7 T • m/A)

As shown in the figure,two long straight wires are separated by a distance of d = 0.80 m.The currents are I₁ = 2.0 A to the right in the upper wire and I₂ = 7.0 A to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance d/2 = 0.40 m below the lower wire? (μ₀ = 4π × 10^-7 T • m/A)

A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long.If this solenoid carries a current of 12 A,what is the magnitude of the magnetic field near the center of the solenoid? (μ₀ = 4π × 10^-7 T • m/A)

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

A type of transmission line for electromagnetic waves consists of two parallel conducting plates (assumed infinite in width)separated by a distance a.Each plate carries the same uniform surface current density of 16.0 A/m,but the currents run in opposite directions.What is the magnitude of the magnetic field between the plates at a point 1.00 mm from one of the plates if a = 0.800 cm? (μ₀ = 4π × 10^-7 T • m/A)

A ring with a clockwise current (as seen from above the ring)is situated with its center directly above another ring,which has a counter-clockwise current,as shown in the figure.In what direction is the net magnetic force exerted on the top ring?

Two long parallel wires carry currents of 10 A in opposite directions. They are separated by 40 cm. What is the magnitude of the magnetic field in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other? (μ₀ = 4π × 10^-7 T • m/A)

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? (μ₀ = 4π × 10^-7 T • m/A)

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?

A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s.A point P is on the y-axis at y = +70 mm.The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? (μ₀ = 4π × 10^-7 T • m/A)