Final answer:
Two identical negatively charged spheres will repel each other due to electromagnetic force. When touched and separated, each sphere ends up with half of the total original charge. The charge distribution is guided by the principle of charge conservation.
Step-by-step explanation:
When analyzing the interaction between two identical negatively charged conducting spheres, there are several key concepts to consider:
- The force between the spheres is electrostatic and, because the charges are like, it will be repulsive.
- Upon bringing the spheres into contact, the charges will redistribute themselves equally between both spheres because they are identical.
- After they are moved apart, each sphere will have half of the total initial charge.
To answer the specific question:
- If the left sphere is brought close to the right sphere and it swings away, we can deduce that the left sphere is negatively charged like the right one, due to the repulsive electromagnetic force.
In mathematical problems, finding the resultant charge on each sphere requires knowledge of conservation of charge principle and might also involve calculating the number of electrons that corresponds to the observed charge after separation.