if a neutral shere and a sphere with a charge of 14 C are brought together, then separated, what would be the charge on each sphere
To determine the charge on each sphere after they are brought together and then separated, we need to consider the principles of charge transfer and conservation of charge.
When a neutral sphere and a sphere with a positive charge of 14 C are brought together, some charge will transfer between them due to the principle of electrostatic induction. The neutral sphere will acquire some charge, while the positively charged sphere will lose some charge.
To find the charge on each sphere, we need to apply the concept of charge conservation. In an isolated system like this, the total charge remains constant. Therefore, the total charge before and after the spheres are brought together must be the same.
Before the spheres are brought together, we have:
Neutral sphere: 0 C (neutral charge)
Charged sphere: +14 C
The total charge is 0 C + 14 C = +14 C.
After the spheres are separated, the total charge remains +14 C.
Let's assume that the neutral sphere gained a charge of q C and the charged sphere lost a charge of q C.
Therefore, the charge on each sphere after separation would be:
Neutral sphere: +q C
Charged Sphere: +14 C - q C
Since the total charge remains +14 C, we can write the equation:
+q C + (+14 C - q C) = +14 C
Simplifying the equation, we get:
+14 C = +14 C
This confirms that the total charge is conserved.
Hence, after the spheres are separated, the neutral sphere will have a charge of +q C, and the charged sphere will have a charge of +14 C - q C.