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Define electric charge and explain its fundamental properties.

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Electric charge is a fundamental property of matter that determines how objects interact with electromagnetic forces. It is one of the basic building blocks of nature and plays a crucial role in many physical phenomena.

Definition: Electric charge is a fundamental property of subatomic particles, such as protons and electrons, that causes them to attract or repel each other through the electromagnetic force. Objects with an excess of electrons have a negative charge, and those with a deficit of electrons have a positive charge.

Fundamental properties of electric charge:

a. Quantization: Electric charge comes in discrete, quantized units. The smallest unit of electric charge is the elementary charge, denoted as "e," which is approximately equal to -1.602 x 10^-19 coulombs for electrons and +1.602 x 10^-19 coulombs for protons. All charged particles carry a multiple of this elementary charge, making it the smallest indivisible unit of charge.

b. Conservation: Electric charge is conserved in isolated systems, meaning the total charge in a closed system remains constant. Charge cannot be created or destroyed; it can only be transferred from one object to another. For instance, when two objects come into contact, electrons may transfer between them, resulting in equal and opposite charges on each object.

c. Attraction and Repulsion: Like charges repel each other, while opposite charges attract. For example, two positively charged objects will push each other away, and two negatively charged objects will also repel each other. However, a positive and a negative charge will attract each other.

d. Superposition Principle: The total electric charge of a system is the algebraic sum of the individual charges within it. If a system contains multiple charged objects, the resulting electric field at a point is the vector sum of the fields due to each individual charge.

e. Coulomb's Law: Coulomb's law describes the force between two point charges. It states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Mathematically, it is represented as F = k * (|q1 * q2|) / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.

Electric charge is a fundamental property of matter, and understanding its properties is essential for describing and predicting the behavior of electromagnetic interactions in various natural phenomena and technological applications.
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