Final answer:
The ratio of charges for the question given is +12:-6:-12, where charges 1 and 3 have twice the magnitude of charge 2. This concept is fundamental in physics, as it relates to understanding electric fields and the properties of charged particles like electrons and protons.
Step-by-step explanation:
In the context of physics, specifically in the study of electric fields and charges, the question asks: what is the ratio of their charges? When analyzing electric field lines, the direction indicates the type of charge; field lines emanating outwards signify a positive charge, while lines converging indicate a negative charge. From the given information, charge 1 is positive, and charges 2 and 3 are negative.
The ratio of the charges is given as +12 for charge 1, and -6 and -12 for charges 2 and 3, respectively. This means that both the magnitude of charges 1 and 3 is twice that of charge 2. This principle of charge ratios also applies when comparing basic charged particles like protons and electrons, which have equal but opposite magnitudes of charge. The charge magnitude for such elementary particles is a constant value of 1.60×10-19 coulombs. Therefore, the ratio of their charges is +12 : -6 -12. This means that the magnitude of charges 1 and 3 is twice that of charge 2.