Physics
Improve your experience by picking them
A solenoid is marked 650 turns. The mean flux per turn is found to be 6.80 × 10-4 Wb when a current of 3.20 A flows through the solenoid. If a self-induced emf of 0.0800 V is desired, determine the magnitude of the current change rate (di/dt) through the solenoid.
Tests on an inductor show that a self-induced emf of magnitude 0.185 V is generated when the current is increased at a rate of 0.580 A/s. The manufacturer's label shows that the inductor has 550 turns. Determine the mean magnetic flux in each turn when the inductor draws a current of 0.770 A.
The electrical current in a circuit is increased at a constant rate of 0.520 A/s. The self-induced emf of an inductor in the circuit is measured to be 0.230 V. Find the inductor's inductance.
A toroid is marked 48.5 mH. Its diameter is 15.0 cm, and its cross-sectional area is 1.8 cm2. Determine its number of turns.
The metallic spiral binding (coil bind) of a book has 48 turns and is 297 mm long. Its diameter is 25 mm. If the binding acts like an ideal solenoid, determine its self-inductance if it is connected in a circuit.
You have a pair of thin cables placed parallel with a radius of r. The distance between the two wires is given by d and is filled with a material of permeability μ. The same current flows through both cables in opposite directions. Calculate the inductance per unit length of the wire, ignoring the magnetic field in the wires.
While developing a prototype for an electromagnetic launcher, Taylor uses an air-core solenoid that is 1.2 meters long, has a diameter of 3.5 centimeters, and has 9,000 turns of copper wire wrapped around it. Determine the inductance 𝐿 of the solenoid.
A transformer coil experiences a change in current from 10 mA to 50 mA within 20 ms, inducing an emf of 0.80 V. Determine the inductance of the coil.
In an electrical circuit, a component has a resistance of 2.5-Ω and an inductance of 500 mH. It is connected to an AC source. At a particular instant, the current in the circuit is 4.00 A and is increasing at a rate of 1.00 A/s. Calculate the total voltage across this component at that instant.
The tightly wound wire of a solenoid is used to make another solenoid with a radius 3.0 times the original. The length of the wire remains constant. By how much does the inductance change?
Hint: Use L = μ₀ (N² π r²) / ℓ, and consider the relationship between r and N.