If the protons and electrons are the only basic charges in the universe, all the observable charges have to be integral multiples of e. Thus, if an object contains x electrons and y protons, the net charge on the object will be
-(x + y) e
(x + y) e
(x- y) e
(y- x) e
(y- x) e
Step 1: Understanding the Concept:
The net charge on an object is the algebraic sum of the charges of all its constituent particles. The charge of a single electron is-e, and the charge of a single proton is +e.
Step 2: Detailed Explanation:
An object contains ’x’ electrons and ’y’ protons.
The total charge due to ’x’ electrons = x × (charge of one electron) = x × (−e) = −xe.
The total charge due to ’y’ protons = y ×(charge of one proton) = y ×(+e) = +ye.
The net charge on the object is the sum of these charges:
Net Charge = (Total charge of electrons) + (Total charge of protons)
Net Charge = −xe+ye
Factoring out ’e’, we get:
Net Charge = (y −x)e
Step 3: Final Answer:
The net charge on the object will be (y- x)e.