Proportionality and Superposition Theorems Report free essay sample

This experiment focuses on two concepts. These concepts are Proportionality and Superposition theorems. Proportionality is a way to relate two quantities together. This means that when more input is supplied, you get more output which is proportional to the input. The Proportionality Theorem states that the response in a circuit is proportional to the source acting in the circuit. This is also known as Linearity. The proportionality constant (K) relates the input voltage to the output voltages as Superposition is another way to solve a linear electrical circuit. The Superposition Theorem states that in any linear electrical circuit, any voltage or current value can be obtained by taking the individual contributions to that voltage or current as a result of each source taken alone and summing them together Aim The aim of this experiment is to verify the proportionality and superposition theorems. Apparatus Breadboard Wires Multi-meter IDL 600 analogue lab Assorted resistors(1k? , 3. We will write a custom essay sample on Proportionality and Superposition Theorems Report or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page 3k? Procedure I constructed the first circuit as shown in fig1 using the breadboard, four wires and three resistors as shown in the diagram below. I connected my power source and took down the values of the output voltage across the 3. 3k? resistor for five different input voltages. I constructed the second circuit in fig 2 below using a breadboard, wires and three resistors, and took the measurements of the output voltage respectively for five consecutive inputs using a multi-metre. For the third circuit, i connected my switch so that it ad two inputs and calculated the Vout across the resistor joining them as in fig3 below. This circuit illustrates the principle of superposition. I took the measurement of Vout through the 3. 3k? resistor which is R3. Results 1. With Vin at 10volts, the output voltage across the 3. 3k? measured 2. 61volts Slope= 0. 2651 Taking the average value for k Comparing my slope and the average value of average k, i have a difference of  ±0. 0033. 2. With Vin at 5volts, the output voltage across the 3. 3k? measured 2. Taking the average value for k Comparing my slope and the average value of average k, i have a difference of  ±0. 002533 3. With Vin at 5volts and 10volts, we measured an output of 5. 51 across resistor 3. 3 k? 4. Adding the responses from fig 1 at 10V and fig2 at 5V Conclusion From this, I draw a conclusion that the principle of superposition and proportionality theorem are true because the sum of my measured values across circuit1 and circuit2 gave the same result as when I connected both sources and measured the output on same resistor.