mathematics 2 sem

Stoke’s Theorem

Stoke’s Theorem is a fundamental statement in multivariable calculus that relates the surface integral of the curl of a vector field over a surface to the line integral of the vector field around the boundary of the surface. This is a powerful tool that bridges gap between line integrals and surface integrals. Stokes' Theorem is a higher-dimensional version of the two-dimensional Green's Theorem, and it is important in many fields of physics and engineering, including fluid dynamics,...

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Gj chesthundhi

i) Critical Frequency (f<sub>c</sub>) and MUF

Critical Frequency (f<sub>c</sub>);

It is the maximum frequency at which a radio wave can be transmitted vertically and still be reflected back by the lonosphere.

fc=9Nmax

where Nmax is the maximum electron density (electrons/m³) in the ionosphere.

Maximum Usable Frequency (MUF):

It is the highest frequency that can be used for skywave communication between two given points, such that the wave is still reflected by the ionosphere....

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физика

1.
Дано:
R = 20 Ом, L = 0.07 Гн, C = 70 мкФ = 70·10⁻⁶ Ф,
f = 50 Гц
Формулы:
Xₗ = 2πfL
X𝒸 = 1 / (2πfC)
Z = √(R² + (Xₗ - X𝒸)²)
Решение:
Xₗ = 2π·50·0.07 ≈ 22 Ом
X𝒸 = 1 / (2π·50·70·10⁻⁶) ≈ 45.5 Ом
Z = √(20² + (22 - 45.5)²) = √(400 + 552.25) ≈ 30.5 Ом
Ответ:
Xₗ = 22 Ом, X𝒸 ≈ 45.5 Ом, Z ≈ 30.5 Ом
2.
U = 100 В, R = 50 Ом
Формула:
I = U / R = 100 / 50 = 2 А
3.
U = 4 В, R = 20 Ом
I = U / R = 4 / 20 = 0.2 А
4....

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Ultimo teste

Valores individuais:

Valores individuais são as crenças e ideias de cada pessoa sobre o que é desejável e digno de aprovação. Eles moldam as nossas atitudes, levando-nos a aceitar ou rejeitar, aproximar ou afastar, e a fazer escolhas e tomar decisões em relação a objetos, a outras pessoas, a ações e a diversas situações. Essencialmente, são esses valores que definem quem somos e o que pretendemos ou devemos fazer.

Valores sociais:

Os valores sociais são princípios e crenças amplamente

...

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English

The Multifaceted Mirror: An Analysis of the Title "The Good Woman of Szechwan"Bertolt Brecht’s choice of "The Good Woman of Szechwan" as his play's title is far more than a simple descriptor; it’s a meticulously crafted, multi-layered reflection of the play’s central themes and Brechtian principles. At first glance, it presents a seemingly straightforward paradox: how can one be "good" in a system that forces moral compromise? Yet, a deeper analysis reveals its ironic, interrogative, and ultimately

...

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Physics

Q.Explain the construction and working of Ruby laser with the help of energy level diagram.

Ruby is a crystal of aluminum oxide Al2O3 in which chromium Cr3+ ions are added as impurity (0.5%).So its colour is pink. Ruby rod of 4cm in length and 0.5 cm in diameter is generally used. The end faces of rod are strictly made parallel, grounded and silver polished. The one end face is fully reflecting and other end is partially reflecting. A helical Xenon flash tube is surrounded the ruby rod with high

...

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Vermicomposting

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# 🌱 **Vermicomposting: Stages and Precautions**

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## 🧾 **Introduction:**

Vermicomposting is a **bio-oxidative process** in which **earthworms** convert **organic waste** into **nutrient-rich compost** known as **vermicompost** or **worm castings**. This method is eco-friendly, cost-effective, and highly efficient in recycling organic matter. It not only helps in waste management but also improves soil health, fertility, and crop yield naturally.

The process depends on the activity...

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Summary blue planet

Thermohaline circulation weakens-it would very likely cause abrupt shifts in regional weather patterns and the water cycle.” These could include “a southward shift in the tropical rain belt, weakening of the African and Asian monsoons, strengthening of Southern Hemisphere monsoons, and drying in Europe,” impacts that would greatly alter food production worldwide.

ENSO natural cycle in pacific ocean temperatures, winds, and clouds. ENSO is often behind extreme events.  the phase starts at...

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YRTYR

Transmission line

Characteristic Impedance:IMPORTANT PARAMETRES CONECTING THE SOURCE WITH TL ENDING WITH LOAD

VSWR:  the ratio of max/min voltage on the line IF ZS=Z0=ZL THIS LEAD TO MINI VSWR MAX POWER TRANS

Reflection Coefficient (Γ): Ratio of reflected to incident voltage wave Γ= zero means perfect match

Use coaxial cable:

1- Lower frequencies <3GHZ

2-lower power requirements

Use waveguide:

1- Higher frequencies >3GHZ

2- Lower loss required

3- Higher efficiency at microwave frequencies...

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