Exam 29: The Magnetic Field

A charged particle is moving with speed v perpendicular to a uniform magnetic field.A second identical charged particle is moving with speed 2v perpendicular to the same magnetic field.If the frequency of revolution of the first particle is f,the frequency of revolution of the second particle is

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)

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)

A wire along the z-axis carries a current of 6.8 A in the +z direction.Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.

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)

An electron moves with a speed of 8.0 × 10⁶ m/s along the +x-axis.It enters a region where there is a magnetic field of 2.5 T,directed at an angle of 60° to the +x-axis and lying in the xy-plane.(1 eV = 1.60 × 10^-19 C,m_el = 9.11 × 10^-31 kg)Calculate the magnitude of (a)the magnetic force on the electron. (b)the acceleration of the electron.

A coaxial cable consists of an inner cylindrical conductor of radius R₁ = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R₂ = 0.080 m and outer radius The inner conductor carries current in one direction,and the outer conductor carries current in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (μ₀ = 4π × 10^-7 T ∙ m/A) (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable)

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 length of the solenoid became twice as long (2L),and all other quantities remained the same,the magnetic field inside the solenoid would

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 both currents flow 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 long straight wire on the z-axis carries a current of 6.0 A in the positive direction.A circular loop in the xy-plane,of radius 10 cm,carries a 1.0-A current,as shown in the figure.Point P,at the center of the loop,is 25 cm from the z-axis.An electron is projected from P with a velocity of 1.0 × 10⁶ m/s in the negative x-direction.What is the y component of the force on the electron? (e = 1.60 × 10^-19 C,μ₀ = 4π × 10^-7 T ∙ m/A)

A circular loop of diameter 10 cm,carrying a current of 0.20 A,is placed inside a magnetic field = 0.30 T .The normal to the loop is parallel to a unit vector = -0.60 - 0.80 .Calculate the magnitude of the torque on the loop due to the magnetic field.

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)

A horizontal wire carries a current straight toward you.From your point of view,the magnetic field at a point directly below the wire points

A wire in the shape of an "M" lies in the plane of the paper.It carries a current of 2.0 A,flowing from points A to E,as shown in the figure.It is placed in a uniform magnetic field of 0.75 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.What are the magnitude and direction of the force acting on (a)section AB of this wire? (b)section BC of this wire? (c)section CD of this wire? (d)section DE of this wire? (e)the entire wire?

An electron moving in the direction of the +x-axis enters a magnetic field.If the electron experiences a magnetic deflection in the -y direction,the direction of the magnetic field in this region points in the direction of the

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)

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 straight 15.0-g wire that is 2.00 m long carries a current of 8.00 A.This wire is aligned horizontally along the west-east direction with the current going from west to east.You want to support the wire against gravity using the weakest possible uniform external magnetic field. (a)Which way should the magnetic field point? (b)What is the magnitude of the weakest possible magnetic field you could use?

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?

A circular coil of wire of 200 turns and diameter 2.0 cm carries a current of 4.0 A.It is placed in a magnetic field of with the plane of the coil making an angle of 30° with the magnetic field.What is the magnetic torque on the coil?