Since the magnetic field of the Earth and the induced field are at right angles, you can use the Pythagorean Theorem to determine the strength of the combined field. This theorem states that the square of the length of a right triangle’s hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b): a2 + b2 = c2. In this situation, a is the strength of Earth's magnetic field and b is the strength of the induced magnetic field.

Predict and draw: Based on the strength of the field at points (50, 0) and (-50, 0), what do you think the strength of the magnetic field will be at point (0, 50)? -You may draw them on paper or using a digital drawing tool then insert the image to ✏️ show your work below.