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We developed interactive simulations to illustrate fundamental electronic concepts, providing a hands-on learning experience. These simulations bridge theory with practical application, helping students visualize, analyze, and understand complex principles, fostering deeper engagement and better comprehension of electronics and communication engineering.
Kirchhoff's Voltage Law (KVL) & Kirchhoff's Current Law (KCL)
Kirchhoff's Voltage Law (KVL) states that the algebraic sum of all voltages in a closed loop or circuit equals zero, ensuring energy conservation. Kirchhoff's Current Law (KCL) states that the total current entering a junction equals the total current leaving, ensuring charge conservation. Both laws are fundamental in circuit analysis
Norton's Theorem
Norton's Theorem simplifies a complex circuit into a single current source (πΌπ) in parallel with a resistance (π
π ). πΌπ is short-circuit current through the load, and R N is the equivalent resistance seen at the terminals with independent sources replaced by their internal resistances.
Ohm's Law with Dynamic Graphs
Ohm's Law states that the current (πΌ) flowing through a conductor is directly proportional to the voltage (π) across it and inversely proportional to its resistance (π
). Mathematically, π=πΌ*π
It applies to linear, resistive circuits where the relationship between voltage, current, and resistance remains constant.
Real-Time Circuit Simulator
A real-time circuit simulator with only voltage sources and resistances models resistive circuits interactively. Users can analyze voltage drops, equivalent resistances, and current flow based on Ohm's and Kirchhoff's laws. It helps visualize voltage distribution and verify designs by simulating real-time behavior under various conditions, simplifying circuit analysis and understanding.
Series and Parallel Circuit Simulations
Series and parallel circuit simulations enable real-time analysis of current, voltage, and resistance interactions. In series circuits, simulations show equal current and voltage division across resistors. For parallel circuits, they demonstrate equal voltage and current division. These tools simplify learning and designing circuits by visualizing real-time behavior under various conditions.
Superposition Theorem Simulation with Graph
Superposition theorem simulation allows analyzing circuits with multiple independent sources by considering one source at a time while others are replaced by their internal resistances. Graphical representations illustrate individual source contributions to current and voltage. Summing these effects verifies the total response, enhancing understanding of linear circuit behavior effectively.
Thevenin's Theorem Simulation
Thevenin's Theorem simulation simplifies complex circuits into an equivalent circuit with a single voltage source (ππ‘β) and series resistance (π
π‘β ). The simulation calculates ππ‘β as the open-circuit voltage and π
π‘β as the equivalent resistance. Interactive visuals help analyze and verify circuit performance efficiently under different load conditions
Voltage Divider Simulation
A voltage divider is a simple circuit used to create a desired output voltage by splitting a source voltage across two resistors. The output voltage is determined by the ratio of the resistances. Itβs commonly used in signal conditioning, biasing, and reference voltage generation in electronic circuits.
Reciprocity Theorem Verification
The Reciprocity Theorem states that in a linear, bilateral network, the current flowing in one branch due to a voltage source in another branch will be the same if the voltage source and load positions are swapped. Verification involves measuring currents in both configurations and confirming equality, validating the theorem
Frequency Modulation (FM) Simulation
FM (Frequency Modulation) simulation demonstrates how a carrier signal's frequency varies based on an input signal. It visually represents frequency shifts corresponding to amplitude changes in the modulating signal. This simulation helps understand FM principles, bandwidth, and demodulation, commonly used in radio broadcasting and wireless communication systems.
Amplitude Modulation (AM) Simulation
AM (Amplitude Modulation) simulation illustrates how a carrier signal's amplitude varies according to an input signal. It visually represents amplitude fluctuations while maintaining a constant frequency. This simulation helps understand AM principles, bandwidth requirements, and demodulation, widely used in radio broadcasting, aviation communication, and early analog television transmissions.
Amplitude Shift Keying (ASK) Simulation
Amplitude Shift Keying (ASK) simulation demonstrates how a digital signal modulates a carrier wave by varying its amplitude. A high (1) input maintains the carrierβs amplitude, while a low (0) input reduces or nullifies it. This simulation helps understand ASK modulation, demodulation, and its applications in digital communication systems like RF transceivers.
Frequency Shift Keying (FSK) Simulation
Frequency Shift Keying (FSK) simulation illustrates how a digital signal modulates a carrier wave by shifting its frequency. A high (1) input corresponds to a higher frequency, while a low (0) input results in a lower frequency. This simulation helps understand FSK modulation, demodulation, and its applications in wireless communication and data transmission
Sampling Theorem
The sampling theorem states that a continuous signal can be perfectly reconstructed from its samples if sampled at a rate at least twice its highest frequency (Nyquist rate). A simulation can demonstrate aliasing by varying sampling rates, showing distortion when undersampled and accurate reconstruction when sampled above the Nyquist rate.