Questions and Answers
What is one reason why the quantization of electric charge can be ignored in macroscopic scenarios?
When two bodies are rubbed together, they can generate charges that are not equal in magnitude.
False
What happens to the total charge in a system of two rubbed bodies according to the law of conservation of charge?
The total charge remains zero.
An electrostatic field line cannot have sudden _______ because it represents a continuous force experienced by a charge.
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Match the following concepts with their descriptions:
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What is the formula for vertical deflection $s$ of the particle at the far edge of the plate?
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The initial velocity of a charged particle in the vertical direction is always 0.
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What determines the acceleration of a charged particle in an electric field?
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In the equation $s = ut + \frac{1}{2}at^2$, the variable 'u' represents __________.
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Match the following concepts with their definitions:
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Study Notes
Electric Charge Quantization
- A body possesses total charge only in integral multiples of elementary electric charge.
- Quantization of electric charge can be ignored in macroscopic scales where large numbers of charges are involved, as their combined effects appear continuous.
Charging by Friction
- Rubbing materials like glass and silk produces equal but opposite charges on each body.
- This process, known as charging by friction, results in pairs of charges being created.
- According to the law of conservation of charge, the total charge of the system remains zero as opposite charges cancel each other out.
Electric Field Lines
- Electric field lines are continuous curves with no breaks, reflecting the continuous forces acting on a charge in an electrostatic field.
- A charge in an electric field moves continuously without jumping from one point to another.
Vertical Deflection in Electric Fields
- For a particle of mass ( m ) and charge ( -q ) moving with velocity ( v_x ) between charged plates of length ( L ) in a uniform electric field ( E ):
- The mechanical force is defined as ( F = ma ) and the electric force as ( F = qE ).
- The acceleration of the particle is given by ( a = \frac{qE}{m} ).
- Time ( t ) to cross the length of the plates can be calculated by ( t = \frac{L}{v_x} ).
- The vertical deflection ( s ) of the particle is derived using the equation of motion, resulting in:
- ( s = \frac{qEL^2}{2mv_x^2} ).
- This vertical deflection parallels the motion of horizontal projectiles under gravitational influence.
Equilibrium of Like Charges
- In a system with two alike charges separated by distance, the null point is situated at the midpoint between them.
- A test charge placed at this midpoint experiences strong restoring forces attempting to return it to balance if displaced along the line joining the charges.
- Displacing the test charge perpendicularly results in no restoring forces, contradicting the notion of stable equilibrium in all directions.
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Description
Explore the concepts of electric charge and its quantization through this quiz. Understand why the quantization of charge can be ignored at macroscopic scales and how this impacts our understanding of electricity. Test your knowledge on fundamental electrical principles.
