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 …
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 …
1. The dimensions of \( \frac{1}{2} \varepsilon_0 E^2 \) is (1) \( MLT^{-2} \) (2) \( ML^{-1}T^{-2} \) (3) \( MLT^{-1} \) (4) \( ML^{-1}T^{-1} \) Answer: (2) Explanation: The expression \( u_e = \frac{1}{2} \varepsilon_0 E^2 \) represents electric energy density, which means the electrical energy stored per unit volume in an electric field. …
JEE (Main) 2026 | Phase-2 | Exam Date: 02-04-2026 | Morning Shift Read More »
1. The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. For example, with 2871, you just add \(2 + 8 + 7 + 1 = 18\). Since \(18\) is …
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 …
Electrical Engineering GATE EE Solved Question Paper 2026
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). …
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 …
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 …
The atom is the fundamental building block of everything we see, touch, and breathe. From the screen you are reading this on to the air in your lungs, everything is made of these incredibly tiny units of matter. What is an Atom? An atom is the smallest unit of an element that retains the properties …