A metallic sphere has a charge of +4.0 nC. A negatively charged rod has a charge of -6.0 nC. Whe

step 1 Now here in this problem we are given with this road and a metallic sphere. Now this object has

A metallic sphere has a charge of +4.0 nC. A negatively...

A metallic sphere has a charge of $+4.0 \mathrm{nC}$. A negatively charged rod has a charge of $-6.0 \mathrm{nC}$. When the rod touches the sphere, $8.2 \times 10^{9}$ electrons are transferred. What are the charges of the sphere and the rod now?

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Key Concepts

Electric Charge

Electric charge is a fundamental property of matter that depicts how particles interact through electromagnetic forces. It is measured in coulombs and appears in both positive and negative forms, governing the behavior and interaction of charged objects in various systems.

Charge Quantization

Charge quantization is the principle that electric charge exists in discrete amounts, typically as integer multiples of the elementary charge (the charge of an electron or proton). This concept explains why charge transfers occur in fixed increments, especially when electrons are involved.

Conservation of Charge

The conservation of charge principle states that the total electric charge in an isolated system remains constant, regardless of any internal transfers between objects. This principle is essential for analyzing charge transfer scenarios, ensuring that the sum of charges before and after any interaction stays the same.

Electron Charge

Electron charge refers to the fixed, negative charge carried by an electron, approximately 1.6×10^-19 coulombs. Knowing the electron's charge allows the determination of total transferred charge when a given number of electrons is moved between objects, facilitating precise calculations in electrostatic scenarios.

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