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 timedependent 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 100turn 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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