Question
Question: Two conductors having the same type of charges are connected by a conducting wire. When there would ...
Two conductors having the same type of charges are connected by a conducting wire. When there would not be any amount of charges on them?
Solution
The charge flows through a conductor when an electric field exists there. And, the electric field occurs when the electric potential is different for two poles of a conductor. Now, when two conductors are connected by a wire there must be two poles created. Here the potential difference of those two poles has to be noticed. Note that the conductors have the same type of charge i.e. either positive or negative.
Complete step by step solution:
The conductor is used in the flowing of current electricity. When the potential of the two poles of a conductor differs from each other i.e. one pole is in the high potential and another is in the low potential, the charge flows. The flowing of the charge or electron causes the occurrence of the electric field. And, this electric field is the reason for the flowing of current electricity. Hence, it is clear that the charge will flow if and only if there will be a potential difference in a conductor.
Now, according to the question, it is given that two conductors of the same type of charges (i.e. either negative or positive) are connected by a wire. So, two poles are created for that joint. Now if the potential difference is zero i.e. the electric potentials of these two poles are the same, then we can say there would not be any amount of charges on them.
Note: The electric potential is defined by the work done for bringing a unit positive charge from infinity to an electric field. And, the potential difference is the work done for bringing a unit positive charge from one point to another point of an electric field.
Also, the potential difference can be represented by the ratio of the charge to the capacitance of a capacitor. From this relation, we can say the potential difference will not be the zero or the electric potentials of the two points are not the same only if the amount of the charges of those two points are the same. It also depends upon the capacitance.