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Full-scale Deflection with Example

  Shunt Resistance Concept Core Idea Your meter can only safely carry a very small current: 300 μA is its full-scale deflection (FSD) limit. But you want to measure a much larger current: 5 A. So you cannot send all 5 A through the meter — it would burn out. What do we do instead? We use a low-resistance shunt connected in parallel with the meter. Small current → through meter Large remaining current → through shunt Key Principle Both meter and shunt are in parallel, so: Voltage across meter = Voltage across shunt How current splits Meter takes: 300 μA Shunt takes: almost entire 5 A Why it works From Ohm’s Law: I = V / R Meter has higher resistance (75 Ω) → less current Shunt has very small resistance (~0.0045 Ω) → more current flows Big Picture Protecting the meter Extending its range Turning a microamp device into a 5 A ammeter Summary A shunt resistor allows a small-current me...

Overmodulation & Distortion in AM

Overmodulation in AM and How It Causes Distortion 1. AM Signal Equation s(t) = A c [1 + μ m(t)] cos(2Ï€ f c t) A c = carrier amplitude m(t) = normalized modulating signal (|m(t)| ≤ 1) μ = modulation index 2. Modulation Index μ = A m / A c - Normal AM: 0 < μ ≤ 1 → no distortion - Overmodulation: μ > 1 → distortion occurs 3. Envelope and Overmodulation A(t) = A c [1 + μ m(t)] - For undistorted AM: 1 + μ m(t) ≥ 0 at all times - If μ > 1: 1 + μ m(t) < 0 at negative peaks → carrier flips Example: Let m(t) = cos(2Ï€ f m t), A c = 1 V, μ = 1.2 Minimum envelope: A min = A c [1 - 1.2] = -0.2 V Negative amplitude → envelope crosses zero → 180° phase flip 4. Mathematical Consequence -A c cos(θ) = A c cos(θ + Ï€) This phase reversal is what causes distortion in the demodulated signal. 5. Instantaneous AM Signal s(t) ...

Logical Fallacies Explained

  Logical Fallacies Logical Fallacies 1. Ad Hominem (Attack on the person) Instead of addressing the argument, the person attacks the individual. Example: "He’s not a good scholar, so his argument is wrong." 2. Ad Misericordiam (Appeal to pity) Uses sympathy instead of logic. Example: "Please pass me, I had a tough time." 3. Ad Populum (Appeal to popularity) Claims something is true because many people believe it. Example: "Everyone uses this book, so it must be the best." 4. Ad Baculum (Appeal to force or threat) Uses fear or threats to make someone agree. Example: "Accept this theory, or you’ll fail the exam." 5. Ad Verecundiam (Appeal to authority) Relies on authority instead of evidence. Example: "A famous professor said it, so it must be true." 6. Straw Man Fallacy Misrepresenting someone’s argument to ma...

Force Summing Device

Force Summing Device Force Summing Device Definition A force summing device is a mechanical element used to combine multiple input forces into a single resultant force. It is widely used in systems where several forces act simultaneously and need to be analyzed or converted into motion. Basic Concept When two or more forces act on a system, the resultant force is given by: F resultant = F₁ + F₂ + F₃ + ... This combined force produces displacement, motion, or deformation. Working Principle Multiple forces are applied to the system. The device mechanically sums these forces. The resultant force acts on a component (spring, mass, etc.). An output such as displacement or motion is produced. Examples Weighing Scale: Combines weight forces to produce displacement. Spring-Mass Sys...

Two-Transistor Model

Two-Transistor Model Two-Transistor Model (BJT / Thyristor) 1. Basic Idea The two-transistor model represents a device (especially a thyristor/SCR ) using: One PNP transistor (T₁) One NPN transistor (T₂) The transistors are connected so that the collector of one feeds the base of the other, creating positive feedback . 2. Structure T₁ (PNP) T₂ (NPN) ----------- ----------- Collector of T₁ → Base of T₂ Collector of T₂ → Base of T₁ 3. Current Relations Let: α₁ = current gain of T₁ α₂ = current gain of T₂ Total current through device: I = I input / (1 - (α₁ + α₂)) 4. Turn-ON Condition α₁ + α₂ → 1 When this condition is met: Denominator → 0 Current rises rapidly Device switches ON (latches) 5. Working Principle OFF State: α₁...

The transfer function of the system shown in the following figure is:...

The transfer function of the system shown in the following figure is:   A. G₁G₂ + 1 B. G₁ + G₂ + 1 C. G₁G₂ + G₁ + 1 D. G₁G₂ + G₂ + 1 Step 1: Identify the signals Input = R(s) After block G₁ = G₁R(s) Step 2: First summing junction Inputs: - Output of G₁ = G₁R(s) - Direct input = R(s) Therefore, X(s) = G₁R(s) + R(s) = (G₁ + 1)R(s) Step 3: Pass through G₂ Output = G₂ × X(s) = G₂(G₁ + 1)R(s) Step 4: Second summing junction Inputs: - Output of G₂ = G₂(G₁ + 1)R(s) - Direct input = R(s) Therefore, C(s) = G₂(G₁ + 1)R(s) + R(s) Step 5: Transfer function C(s)/R(s) = G₂(G₁ + 1) + 1 Expanding: = G₁G₂ + G₂ + 1 Final Answer: Option D → G₁G₂ + G₂ + 1

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