Beginner's TBP Simulator 1. Simulator: Data Pulse (Raised Cosine) This mimics how a single bit of data is shaped in modern wireless communication. Roll-off Factor (β) 0.5 (Adjusts how "sharp" the filter is) Filter Span (Time) 6 (How long the pulse lasts) Calculated TBP: 1.25 Good Efficiency 2. Simulator: Gaussian Pulse (The Perfect Balance) The Gaussian pulse is special because it achieves the minimum possible TBP . It is the "smoothest" possible signal. ...

  Time Constant of Linear Diode Detector The time constant of a linear diode detector (envelope detector) is the RC time constant of its filter network. It determines how fast the capacitor: charges to the carrier peaks discharges between peaks Time Constant Formula τ = R × C Where: R = load resistor C = filter capacitor τ = time constant in seconds Diode Detector Circuit Diode RF ----|>|----+---- Audio Out | C | R | GND The capacitor charges quickly through the diode when the RF envelope rises. When the envelope falls: diode becomes reverse biased capacitor discharges through R That discharge speed is controlled by the RC time constant. Choosing the Correct Time Constant 1/fc << RC << 1/fm ...

  TRIAC Delay Angle and Power Dissipation TRIAC’s delay angle (also called the firing angle α ) controls power by “cutting” part of the AC sine wave before allowing current to flow. In AC mains, the voltage waveform is sinusoidal: v(t) = Vm sin(ωt) A TRIAC stays OFF at the start of each half-cycle. After a delay angle α , it is triggered ON and conducts for the rest of that half-cycle. Effect of Delay Angle Small delay angle → more of the sine wave passes → more RMS voltage → more power Large delay angle → less of the sine wave passes → lower RMS voltage → less power The output waveform becomes a chopped sine wave . Waveform Examples α = 0° → full sine wave passes α = 90° → first half of each half-cycle removed α = 150° → only a small tail passes Power Equation For a resistive load: P = Vrms² / R...

Pull-Up and Pull-Down Ratio in nMOS Inverter nMOS Inverter Overview In an nMOS inverter, the nMOS transistor acts as the pull-down device, while a load device (resistor or depletion nMOS) acts as the pull-up network. Pull-Down Network The nMOS transistor is the pull-down device It pulls the output to 0 (GND) when ON Pull-Up Network The load device pulls the output to VDD when input is LOW It provides a weak logic HIGH Pull-Up Ratio (PU Ratio) Defined as: Pull-up ratio = βL / βN Where: βL = transconductance parameter of load device βN = transconductance parameter of nMOS pull-down transistor Meaning: Measures strength of pull-up compared to pull-down. Pull-Down Ratio (PDR) Defined as: Pull-down ratio = βN / βL Meaning: Measures strength of pull-down compared to pull-up. ...

  Absolute Potential In electrostatics, absolute potential (also called electric potential at a point ) is the amount of work done per unit positive charge in bringing a test charge from infinity to that point without acceleration. Definition V = W / q Where: V = absolute potential (volts) W = work done in bringing the charge (joules) q = test charge (coulombs) For a point charge Q , the absolute potential at distance r is: V = (1 / 4πε₀) × (Q / r) Here: Q = source charge r = distance from the charge ε₀ = permittivity of free space 1 / 4πε₀ = 9 × 10⁹ So we usually write: V = (9 × 10⁹ × Q) / r Important Points Potential is a scalar quantity . Unit: Volt (V) . At infinity, potential is taken as zero . Positive charge gives positive potential; negative charge gives negative potential. Exampl...

  Core Diameter of Single-Mode and Multimode Fiber The core diameter of an optical fiber determines how light travels through it and whether the fiber is single-mode or multimode . 1. Single-Mode Fiber (SMF) A single-mode fiber allows only one propagation mode of light. Typical Core Diameter 8 μm to 10 μm (Common standard: 9 μm) Condition for Single Mode A fiber behaves as single-mode when the normalized frequency (V-number) satisfies: V = (2πa / λ) × NA < 2.405 Where: a = core radius λ = wavelength NA = numerical aperture Since core diameter d = 2a: d = (2Vλ) / (2πNA) For cutoff condition V = 2.405: d = [2 × 2.405 × λ] / (2π × NA) This formula helps calculate the maximum core diameter for single-mode operation. 2. Multimode Fiber (MMF) ...

Virtual Labs Instructions for Power Spectral Density (PSD) Simulator Step 1: Click on "Generate Input Signal" to generate the signal. Step 2: Select the base signal from the dropdown menu, and Enter the input signal frequency (in Hz), and the sampling frequency (Hz) in the parameters section. Step 3: Choose an operation (such as addition, multiplication, or convolution) from the "Operations" section. Step 4: Click the "Simulate" button to run the simulation. Step 5: Reset the simulator by clicking the "Reset Simulator" button. × Parameters Base Signal Select an input Sine Wave Cosine Wave Rectangular Pulse triangular Pulse Input Signal Frequency (Hz) Sampling Frequency (Hz) Pulse Width (s) ...

  Flux of Water Through Rectangular Surface Flux of Water Through a Rectangular Surface The water flow is along the x-direction with flow rate density: B x = 3yz   liters/min/m² The rectangular surface lies in the yz-plane at x = 0, with: 0 ≤ y ≤ 3 0 ≤ z ≤ 2 Step 1: Write the Flux Integral Φ = ∫ 0 3 ∫ 0 2 3yz dz dy Step 2: Integrate with Respect to z Φ = ∫ 0 3 3y [ z² / 2 ] 0 2 dy = ∫ 0 3 3y × 2 dy = ∫ 0 3 6y dy Step 3: Integrate with Respect to y Φ = 6 [ y² / 2 ] 0 3 = 3 × 9 = 27 Total Flux = 27 liters/min