Question bank: Magnetism: Magnetic Flux

A straight and long wire carries an electric current of 5 A. At a certain point in space, 1 cm away from the wire, a small square loop of 1 cm side is placed so that its plane is perpendicular to the wire. Consider the permeability of vacuum as 4 * pi * 10^-7 T*m/A. Determine the total magnetic flux passing through the loop.

A scientist is studying an ideal cylindrical solenoid, with all the turns very close together. The solenoid is 30 cm long, its inner radius measures 2 cm, and it has 300 turns. He wants to investigate the magnetic flux passing through the center of the solenoid over time. Knowing that the electric current passing through the solenoid is variable, the magnetic field intensity inside it varies according to the function B(t) = 2t² + 4t + 2 mT, where t is given in seconds. Considering π = 3.14, answer: a) Determine the mathematical expression of the solenoid's cross-sectional area. b) Calculate the magnetic flux that crosses the solenoid's cross-section at time t = 2 s. c) Verify if the magnetic flux is constant or varied at that moment in time.

An experiment was conducted in a Physics laboratory, where a magnet is moved towards a circular loop of radius R and electrical resistance R. Suppose the magnet produces a uniform magnetic field whose magnitude varies with time according to the equation: B = B₀(1 - αt), where B₀ and α are constants, t is time, and B is the magnetic field. Consider that the magnetic field is perpendicular to the loop throughout the experiment. Based on this information, you should:

A laboratory experiment is carried out using a rectangular loop of 30 cm width, 20 cm length, and area A. The loop is positioned in a uniform magnetic field with intensity B = 0.002 T that is perpendicular to the plane of the loop. Initially, the magnetic flux through the loop area is given by the equation Φ = B * A * cosα, where α is the angle between the normal to the loop area and the direction of the magnetic field. (a) Calculate the loop area and the initial magnetic flux through the loop. (b) If the loop is rotated 180° around an axis parallel to the shorter edge of the loop and it took 1 second to complete the rotation, determine the final angle α with respect to the magnetic field and the final magnetic flux through the loop. (c) Calculate the average rate of change of the magnetic flux with respect to time during the 180° rotation and verify if it was constant or varied.

One of the main laws of Electromagnetism is Faraday's Law, which establishes that when a magnetic field varies in time, it induces an electric force inside the conductor. This force is responsible for the generation of electric current in the conductor. What is the name given to this force?