Final answer:
True. Coarse-grained or pitted breaker points can indicate a faulty capacitor as it fails to protect the points from excessive wear. The stored energy in a capacitor is always positive, and using a dielectric material between the plates increases the overall energy of the capacitor.
Step-by-step explanation:
The question pertains to the condition of a capacitor in relation to its corresponding breaker points. Coarse-grained or pitted breaker points can indeed indicate a faulty capacitor.
This is because the capacitor in an ignition system is designed to absorb the current generated when the contact points open, preventing them from burning up quickly. If the capacitor fails to do its job, the points will suffer excessive wear and tear, leading to a coarse or pitted appearance.
In relation to the statement about capacitors, the stored energy in a capacitor is always positive, no matter the charge of the top plate. Furthermore, placing a dielectric between the plates of a capacitor does, contrary to some misconceptions, increase the energy stored within the capacitor because the dielectric material increases the capacitor's ability to store a charge without changing the voltage.
In summary, coarse-grained breaker points can be a sign of a faulty capacitor, and both the presence of stored energy being always positive and the increase of energy with the use of a dielectric are true statements in the context of physics and the functionality of capacitors.