Exam 28: Magnetic Fields of Moving Charges

A current of 2.45 A flows along the length of a long solid cylindrical conductor.The current is uniformly distributed through the conductor.Find the radius of the wire if the magnitude of the magnetic field inside the wire and at a distance of 2.4 cm from the center of the wire is 2.00 * 10^-6.

A long solenoid (diameter = 5.00 cm)with 1000 turns per meter of thin wire through which a constant 0.292 A current is maintained.A wire carrying a current is inserted along the axis of the solenoid.The magnitude of the magnetic field at a point 5.00 mm from the axis is 0.650 mT.What is the current through the wire on the axis of the solenoid?

Each of two long straight parallel wires separated by a distance of 24.0 cm carries a current of 5.00 A in the same direction.What is the magnitude of the resulting magnetic field at a point that is 14.0 cm from each wire?

Two 100 turn coils of wire with a diameter of 1.0 m are placed a distance of 0.25 m apart as shown in the figure.A current of 3.0 A is in the wires of both coils and the direction of the current is clockwise (CW)for both coils when viewed from one end.What is the magnitude of the magnetic field in the center between the two coils?

A square,clamping ammeter has four sides each with a length of 3.0 cm.The four sides of the ammeter are capable of measuring the magnetic field at the position of the sides.When the ammeter is clamped around a cylindrical wire carrying a 5.0 A DC current as shown in the figure,what is the average magnetic field measured in the sides of the clamp?

A long solenoid (diameter = 5.00 cm)is wound with1000 turns per meter of thin wire through which a constant 0.292 A current is maintained.A wire carrying 10.0 A current is inserted along the axis of the solenoid.How far from the axis of the solenoid and inside the solenoid is the magnitude of the magnetic field 0.650 mT?

Assume there is a current of 3.0 A traveling clockwise in a loop around this piece of paper (which is approximately 22 cm wide and 28 cm long).There is an infinitely long wire that runs parallel to the top edge of the paper that carries a current of 5.0 A.If the distance between the top edge and the wire is 50 cm find the magnitude of the force between the wire and the loop.

Two long parallel wires are separated by 4.0 mm.The current in one of the wires is twice the other current.If the magnitude of the force on a 0.5-m length of one of the wires is equal to 9.0 µN,what is the smaller of the two currents?

A long,straight wire is located along the x-axis (y = 0 and z = 0).The wire carries a current of 5.0 A in the +x direction.What is the magnitude of the force on a 2.0 C charged particle located at (+2.0 m,+1.0 m,0),when it has a velocity of 300 m/s in the +z-direction?

A solenoid is made up of 100 turns of a wire carrying 0.25 A of current,and is 5.0 cm long.The radius of the solenoid is 1.5cm.You are looking at the solenoid end-on,such that the current circulates counter-clockwise from your point of view.A complete circuit is made by having the wire from one end of the solenoid connect to the wire at the other end,and running down the middle of the solenoid,therefore carrying current in the +z direction along the z-axis.What is the magnetic field at a point (x,y)= (-0.75 cm,0.0 cm)?

A particle with a mass of 1 mg and a charge q is seen to travel with a speed of 1000 m/s parallel to a straight current carrying wire along a horizontal path 10 cm below the wire as shown in the figure.Determine q if the magnitude of current in the wire is 10 A.

An electron is shot from an electron gun with a speed of 5.0 * 10⁵ m/s parallel to and a distance of 2.0 cm above a long straight wire carrying a current of 10 A. Determine the magnitude of the acceleration of the electron the instant it leaves the electron gun.

A current of 2.45 A flows along the length of a long solid cylindrical conductor.The radius of the cylinder is 8.5 cm.The current is uniformly distributed through the conductor.Calculate the magnitude of the magnetic field 2.4 cm from the center of the cylinder.

The figure shows the cross section through 3 long wires with linear mass density 100 g/m.They carry currents I₁,I₂,and I₃ in the directions shown.Wires 2 and 3 are 10 cm apart and are attached to a vertical surface,and each carry a current of 600 A.What current I₁ will allow wire 1 on the right to "float" such that its distance from the vertical surface is 10 cm?

A current of 18 A runs vertically up through a wire that passes through a table.A compass is placed 13 cm due north of where the wire passes through the table.The magnetic field of the earth at this location is 2.6 *10^-5 T due north.Determine the magnitude of the magnetic field at the location of the compass.

Two long wires (mass per unit length 1.9 g/m)are suspended by threads attached from the ceiling so that they are parallel to each other and to the ceiling above.They each carry an electric current of 15A,in opposite directions.When they carry no current,the wires hang such that they are touching all along their length,and the threads are vertical and immediately adjacent to one another.If the angle between the threads is 10.0 ^$\circ$ ,what is the length of the threads from which the wires hang?

A current of flows along the length of a long solid cylindrical conductor.The radius of the cylinder is 8.5 cm.The current is uniformly distributed through the conductor.If the magnitude of the magnetic field is 2.00 * 10^-6 T at a distance of 2.4 cm from the center of the cylinder,what is the size of the current in the wire?

Assume there is a current of 3.0 A traveling clockwise in a loop around this piece of paper (which is approximately 22 cm wide and 28 cm long).There is an infinitely long wire that runs parallel to the top edge of the paper that carries a current of 5.0 A.If the distance between the top edge and the wire is 50 cm find the magnitude of the torque on the current loop.