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

Solenoid, Inductance, Inductor

Problem 18.

Magnetic field 10 mT is produced by 10-cm diameter, 20 cm long solenoid. What is the current in the solenoid? The solenoid is tightly wound from 1.0-mm diameter wire.

Solution

Problem 19.

A solenoid has a diameter of 20 cm and length of 10 cm. The current in solenoid is 5 A and the total number of turns is 10000. What is the magnetic field inside the solenoid?

Solution

Problem 47.

A 4-cm-diameter solenoid has 2000 turns per meter. At a distance of 1 cm from the solenoid axis, the strength of an induced electric field is . What is the rate of change of the current through the solenoid?

Solution

Problem 48.

A solenoid has an emf of 10 V when the current through it changes at a rate of 5 A/s. Find the number of turns of the solenoid if a steady current of 0.5 A produces a flux of  per turn.

Solution

Problem 49.

The current through 10 H inductor changes with time as , where the current is in A and the time is in seconds. Find the potential difference across the inductor.

Solution

Problem 50.

An LC circuit consists of 10 mH inductor and  capacitor. The current in the circuit has its maximum value of 2 A at . How long is it until the capacitor is fully charged? What is the maximum charge on the capacitor?

Solution

Problem 51.

An LC circuit consists of 20 mH inductor and  capacitor. The current in the circuit has its maximum value of 5 A at . What is the maximum voltage across the capacitor?

Solution

Problem 52.

In an oscillating LC circuit, when 60% of total energy is stored in the inductor’s magnetic energy, what multiple of the maximum charge is on the capacitor?

Solution

Problem 53.

In the LC circuit, the maximum potential difference across the capacitor during the oscillations is 2.0 V, and the maximum current through the inductor is 50 mA. What is the inductance  if the capacitance  is .

Problem 57.

Two coils are at fixed locations. When coil 2 has no current and the current in coil 1 increases at a rate of 5 A/s, the emf in coil 1 is 0.05 V. Find the mutual inductance of two coils.

Solution

Problem 58.

The mutual inductance of two coils is 10 mH. The current in coil 1 increases at a rate of 10 A/s. Find the emf in coil 2.

Solution

Problem 59.

When the current through the coil is 20 mA, the flux through the coil is 40 mWb. Find the inductance of the coil.

Solution

Problem 60.

The inductance of the closely packed coil of 500 turns is 5 mH. The current in the coil is 2 A. Calculate the flux through a single turn.

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.

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

Problem 71.

A 5-cm long solenoid has 2000 turns. Calculate its inductance. The diameter of the solenoid is 5 mm.

Problem 72.

A 100-turn 10-cm-diameter solenoid is placed in a 0.01 T magnetic field, which is parallel to the axis of the solenoid. The solenoid rotates  in 5 seconds. Calculate the average emf generated across the solenoid.

Solution

Problem 73.

A 50 mH inductor is connected to a 20 V battery at zero moment of time. Find the current in the circuit at t=0.1 s. Neglect the resistance of the circuit and the internal resistance of the battery.

Solution

Problem 74.

A 100 mH inductor is connected to ideal 10 V battery at t=0. Find the moment of time when the current in the circuit is 0.5 A. Neglect the resistance of the circuit.

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