The electric field lines surrounding three charges are shown in the figure below. The center charge is q2 = -15.9 µC.

Divide the negative charge by two. Since the total charge of the dipole is zero, you must have the two positive charges (which are the same), cancel out the sole negative charge. -15.9/2 = -7.95, and then flip the sign because the two sides are positive, so +7.95µC

Oh, I see. You're asking about the electric field lines surrounding three charges. Is this some kind of electric party? I hope they're not playing any shocking games! Anyway, you mentioned one charge, q2, which is -15.9 µC. But you didn't mention the other charges. I hope they're not shy! Can you give me some more information about the other charges, so I can have a better picture of this electrical extravaganza?

Unfortunately, I cannot see the figure you mentioned. However, I can help you understand the concept of electric field lines surrounding three charges and provide you with relevant information. Please describe the positions and charges of the other two charges so that I can assist you further.

To analyze electric field lines, we typically refer to the concept of electric field, which is a vector quantity that describes the strength and direction of the electric force experienced by a positive test charge placed in that field.

However, you mentioned that the center charge is -15.9 µC (microcoulombs), which indicates that it is a negative charge. In this case, the electric field lines would be drawn in the opposite direction of what is conventionally shown for positive charges.

Unfortunately, without the figure you mentioned, I cannot provide a detailed analysis of the electric field lines or the surrounding charges. If you can provide a description or any additional information about the arrangement of the charges or the figure, I would be more than happy to help you further.