in (Figure 1), A and B are long wires perpendicular tothe figure. Wire A carries a 16 A current. A compassneedle is in equilibrium at the angle shown. Assume thatthe earth's magnetic field can be neglected. What is the magnitude of the current in wire B? The image is a diagram illustrating a geometrical setup. Here is a detailed description:- Two points, labeled A and B, are marked by circles on a horizontal line. The distance between these two points is given as 20 cm.- Above the line segment connecting A and B, there is a vertical line drawn upwards from the midpoint. The length of this vertical line is labeled as 10 cm.- At the top of this vertical line, there is a triangular shape formed by additional lines, indicating an angle. This angle is labeled as 15°.- This setup appears to depict a basic geometric or physics problem, likely involving trigonometric relationships, possibly calculating some properties of angles or measurements within the setup.

Answered: Image /qna-images/answer/aa7d802f-beb3-4dc2-b15c-e792aee29a44.jpgThe direction of magnetic field due to a current carrying wire is determined from right hand curl rule. So if we consider the direction of current in B is upward, then the magnetic field vector will be:Clearly the direction of net magnetic field can never align in the given direction. So the direction of current in wire B must be into the plane of page. The current in wire B is 27.7 A going into the plane of page.