Question bank: Magnetism: Magnetic Flux

A square coil with side length 10 cm is positioned in the xy plane with its normal parallel to the z-axis. A uniform magnetic field of 0.05 T is applied in the x-axis direction. Rotate the coil by 30° around the y-axis so that its normal is no longer parallel to the z-axis. What is the magnetic flux through the coil's area after this rotation?

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?

A rectangular loop of conductor wire is placed in a uniform and constant magnetic field in such a way that the loop's area vector makes a 30-degree angle with the field lines. Initially, the magnetic flux through the loop is 0.03 T*m². The magnetic field is kept constant while the loop is rotated, so that after some time, the loop's area vector makes a 60-degree angle with the field lines. Considering that the magnetic field does not change during the rotation and that the sine of 30 degrees is 0.5 and the sine of 60 degrees is 0.87, answer: 1. What is the new value of the magnetic flux through the loop? 2. Is the change in magnetic flux positive or negative? Justify your answer based on the variation of the angle between the area vector and the field lines. Use the concepts of Faraday's Law of Electromagnetic Induction to support your explanation.

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 straight conductor of 60 cm in length and 5 ohms of resistance is moved by a magnetic force of 0.2 N, perpendicular to a uniform magnetic field of intensity 1.5 T. Determine the magnetic flux crossing the conductor's cross-section and verify if this flux is constant or variable during the movement. Consider that the angle between the magnetic force vector and the conductor's area vector is 90 degrees.