Licchavi Lyceum

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Licchavi Lyceum

Torque-Speed Curve of Three-Phase Induction Motor

The torque-speed characteristic curve is one of the most important performance indicators of a three-phase induction motor. It shows how the motor’s developed torque varies with rotor speed, from standstill to synchronous speed, and helps engineers understand starting performance, running behavior, and overload capacity. Torque Equation:  The torque \( T \) developed by a three-phase …

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Co-ordinate Geometry

Q. A circle with the equation \( (x – h)^2 + (y – k)^2 = r^2 \) is shifted 3 units to the right and 2 units down. What is the new equation of the circle? Solution: The original center of the circle is \( (h, k) \). After shifting 3 units to the right …

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Biot–Savart Law

The Biot–Savart Law is a fundamental relation in electromagnetism that explains how a current-carrying conductor produces a magnetic field. It is analogous to Coulomb’s Law, but instead of charges, it deals with moving charges (current). When current flows through a wire, a magnetic field is generated around it. The Biot–Savart Law helps us calculate the …

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shorts

Q. What is the maximum value of \( \sin x \cdot \cos x \)? (a) 1 (b) 0.5 (c) 2 (d) 0.25 Answer: (b) 0.5 Explanation: Using the trigonometric identity \( \sin(2x) = 2 \sin x \cos x \), we can rewrite the expression as \( \frac{1}{2} \sin(2x) \). The maximum value of any sine function …

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Cartesian to Polar Conversion

Conversion from Cartesian coordinates \((x, y)\) to Polar coordinates \((r, \theta)\) is a fundamental concept in mathematics. What are the two systems? Cartesian System → A point is represented as \((x, y)\) Polar System → A point is represented as \((r, \theta)\) Where: \(r\) = distance from origin \(\theta\) = angle with the positive \(x\)-axis …

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GATE Exam

Electrical Engineering GATE EE Solved Question Paper 2026  

Registers in Digital Electronics

In digital electronics, a register is a group of flip-flops used to store and move binary data (\(1s\) and \(0s\)) within a system. Think of it as a small, high-speed “workspace” inside a processor that holds information temporarily so it can be used immediately. Key Characteristics Storage Element: It is built using Flip-Flops (usually D-type). …

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Step-down Chopper

A step-down chopper is a static power electronic device that converts a fixed DC input voltage into a variable, lower DC output voltage. It functions similarly to an AC transformer but for DC circuits, allowing for efficient voltage regulation without the bulky size of traditional transformers. Principle of Step-Down Chopper In a step-down chopper, the thyristor …

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Valance and Conduction Electrons

In an atom, the behavior of electrons is determined by their energy levels. To understand how materials conduct electricity, we look at the Valence Band and the Conduction Band. Valence Electrons Valence electrons are the electrons located in the outermost shell of an atom. They are the furthest from the nucleus and are responsible for …

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