A tightly wound coil of wire, resembling a cylinder with a diameter of 5.0 cm, is positioned to pass through the center of a square loop with a side length of 15.0 cm. When an electric current flows through the coil, it generates a magnetic field of 0.25 T. Determine the strength of the magnetic flux through the squared loop in two scenarios: i) when the loop is oriented perpendicular to the coil's axis, and ii) when it is positioned at a 45° angle relative to the coil's axis.

Determine the magnetic flux strength through the right trapezoid illustrated in the figure below.

The axis of a circular coil is rotated from 30° to 70° in 0.050 s with respect to the earth's magnetic field. The coil's cross-section area is 16 cm² and the number of turns in the coil is 300. Earth's magnetic field has a value of 7.0 × 10^-5 T. Calculate the total magnetic flux through the coil initially and finally.