Snell's law
(noun)
A formula used to describe the relationship between the angles of incidence and refraction.
Examples of Snell's law in the following topics:
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The Law of Refraction: Snell's Law and the Index of Refraction
- The exact mathematical relationship is the law of refraction, or "Snell's Law," which is stated in equation form as:
- The law of refraction is also called Snell's law after the Dutch mathematician Willebrord Snell, who discovered it in 1621.
- Snell's experiments showed that the law of refraction was obeyed and that a characteristic index of refraction n could be assigned to a given medium.
- This video introduces refraction with Snell's Law and the index of refraction.The second video discusses total internal reflection (TIR) in detail. http://www.youtube.com/watch?
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Total Internal Reflection and Fiber Optics
- The angle of incidence is measured with respect to the normal at the refractive boundary (see diagram illustrating Snell's law).
- The critical angle $\theta_c$ is given by Snell's law, $n_1\sin\theta_1 = n_2\sin\theta_2$.
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Refraction
- Essentially, it is a surface phenomenon—mainly in governance to the law of conservation of energy and momentum.
- Refraction is described by Snell's law, which states that for a given pair of media and a wave with a single frequency, the ratio of the sines of the angle of incidence θ1 and angle of refraction θ2 is equivalent to the ratio of phase velocities (v1/v2) in the two media, or equivalently, to the opposite ratio of the indices of refraction (n2/n1):
- Formulate the law of conservation of energy and momentum as it is applied to refraction
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Total Polarization
- Using Snell's law (n1sinθ1 = n2sinθ2), one can calculate the incident angle θ1 = B at which no light is reflected: $n_1 \sin \left( \theta_\mathrm B \right) =n_2 \sin \left( 90^\circ - \theta_\mathrm B \right)=n_2 \cos \left( \theta_\mathrm B \right).
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Gauss's Law
- Gauss's law is a law relating the distribution of electric charge to the resulting electric field.
- Gauss's law can be used to derive Coulomb's law, and vice versa.
- In fact, Gauss's law does hold for moving charges, and in this respect Gauss's law is more general than Coulomb's law.
- Gauss's law has a close mathematical similarity with a number of laws in other areas of physics, such as Gauss's law for magnetism and Gauss's law for gravity.
- In fact, any "inverse-square law" can be formulated in a way similar to Gauss's law: For example, Gauss's law itself is essentially equivalent to the inverse-square Coulomb's law, and Gauss's law for gravity is essentially equivalent to the inverse-square Newton's law of gravity.
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A Review of the Zeroth Law
- Zeroth law justifies the use of thermodynamic temperature, defined as the shared temperature of three designated systems at equilibrium.
- This law was postulated in the 1930s, after the first and second laws of thermodynamics had been developed and named.
- It is called the "zeroth" law because it comes logically before the first and second laws (discussed in Atoms on the 1st and 2nd laws).
- A brief introduction to the zeroth and 1st laws of thermodynamics as well as PV diagrams for students.
- Discuss how the Zeroth Law of Thermodynamics justifies the use of thermodynamic temperature
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Faraday's Law of Induction and Lenz' Law
- This relationship is known as Faraday's law of induction.
- The minus sign in Faraday's law of induction is very important.
- Lenz' law is a manifestation of the conservation of energy.
- Lenz' law is a consequence.
- Express the Faraday’s law of induction in a form of equation
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Hooke's Law
- Many weighing machines, such as scales, use Hooke's Law to measure the mass of an object.
- In simple terms, Hooke's law says that stress is directly proportional to strain.
- Mathematically, Hooke's law is stated as:
- In such a case, Hooke's law can still be applied.
- The red line in this graph illustrates how force, F, varies with position according to Hooke's law.
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Introduction and Importance
- Kirchhoff's circuit laws are two equations first published by Gustav Kirchhoff in 1845.
- Kirchhoff, rather, used Georg Ohm's work as a foundation for Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL).
- Kirchhoff's laws are extremely important to the analysis of closed circuits.
- As a final note, Kirchhoff's laws depend on certain conditions.
- The voltage law is a simplification of Faraday's law of induction, and is based on the assumption that there is no fluctuating magnetic field within the closed loop.
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The Second Law
- The second law of thermodynamics deals with the direction taken by spontaneous processes.
- The law that forbids these processes is called the second law of thermodynamics .
- Like all natural laws, the second law of thermodynamics gives insights into nature, and its several statements imply that it is broadly applicable, fundamentally affecting many apparently disparate processes.
- We will express the law in other terms later on, most importantly in terms of entropy.
- Contrast the concept of irreversibility between the First and Second Laws of Thermodynamics