Free problems arranged by topic
 Kinematics Dynamics Conservation laws Thermodynamics Waves Electricity Magnetism Optics Fluids and elasticity Ideal gas AC current

 Free problems: all problems
 Kinematics Dynamics Conservation laws Thermodynamics Waves Electricity Magnetism Optics Fluids and elasticity Ideal gas AC current

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# Physics problems:magnetism

Part 7

Problem 61.

Two identical long wires of radius  are parallel and carry identical currents in opposite directions. Separation between the wires is . What is the inductance per unit length of the wires? Consider the flux only in the region between the wires.

Solution

Problem 62.

A conducting straight wire of length 20 cm is moving with a constant speed perpendicular to uniform 0.1 T magnetic field. The wire is perpendicular to the magnetic field. The voltage across the wire is 0.5 V. Find the speed of the wire.

Solution

Problem 63.

A conducting straight wire of length 20 cm is moving with a constant speed of 5 m/s perpendicular to uniform 0.2 T magnetic field. The wire is perpendicular to the magnetic field. Calculate the voltage across the wire.

Solution

Problem 64.

A flying airplane develops a 0.5 V potential difference between the tips of its wings. The vertical component of the magnetic field is  . Calculate the speed of the airplane if the distance between the tips of the wings is 12 m.

Solution

Problem 65.

An airplane flies horizontally with a speed of 900 km/h. The distance between the tips of the wings of the airplane is 12 m. The vertical component of the magnetic field is  . Calculate the potential difference between the tips of its wings.

Solution

Problem 66.

The current in a  inductor depends on time as . What is the voltage across the inductor at ?

Solution

Problem 67.

The current flowing through a  inductor depends on time as . How much energy is stored in the inductor at ? What is the voltage across the inductor at ?

Solution

Problem 68.

An inductor with an inductance of  and a resistance of  is connected to a battery with time-dependent emf. The current through the inductor depends on time as . Calculate the emf of the battery as a function of time?

Solution

Problem 69.

An inductor with an inductance of  is connected to a battery, the emf of which depends on time as  .  Calculate the current through the inductor. Neglect the resistance of the circuit.

Solution

Problem 70.

The magnetic flux through a 100-turn coil is increased at a rate of 0.1 Wb/s. The inductance of the coil is . If the coil’s resistance is 20 ohm and it is connected to an external circuit with the resistance of 40 ohm, find the current through the coil.

Solution

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