How to Calculate and Solve for Potentiometer Output Voltage of the Circuit under Loaded Condition | Instrumentation

The image above represents potentiometer output voltage of the circuit. To calculate potentiometer output voltage of the circuit under loaded condition, five essential parameters are needed and these parameters are Input Displacement (x_i), Maximum Possible Displacement (x_T), Input Voltage (v_i), Maximum Possible Resistance (R_T) and Resistance of the Measuring Device (R_l).

The formula for calculating potentiometer output voltage of the circuit:

v_o = v_i[^x_T / _xi + ^R_T / _Rl(1 – ^x_i / _xT)]^-1

Where:

v_o = Potentiometer Output Voltage of the Circuit
x_i = Input Displacement
x_T = Maximum Possible Displacement
v_i = Input Voltage
R_T = Maximum Possible Resistance
R_l = Resistance of the Measuring Device

Let’s solve an example;
Find the potentiometer output voltage of the circuit when the input displacement is 12, the maximum possible displacement is 6, the input voltage is 11, the maximum possible resistance is 14 and the resistance of the measuring device is 20.

This implies that;

x_i = Input Displacement = 12
x_T = Maximum Possible Displacement = 6
v_i = Input Voltage = 11
R_T = Maximum Possible Resistance = 14
R_l = Resistance of the Measuring Device = 20

v_o = v_i[^x_T / _xi + ^R_T / _Rl(1 – ^x_i / _xT)]^-1
v_o = 11 x [⁶ / ₁₂ + ¹⁴ / ₂₀ x (1 – ¹² / ₆)]^-1
That is, v_o = 11 x [0.5 + 0.7 x (1 – 2)]^-1
v_o = 11 x [0.5 + (0.7 x -1)]^-1
v_o = 11 x [0.5 + -0.7]^-1
So, v_o = 11 x [-0.199]^-1
v_o = 11 x -5.00
v_o = -55.00

Therefore, the potentiometer output voltage of the circuit is -55.00 V.

Read more: How to Calculate and Solve for Potentiometer Output Voltage Reading under Unloaded Condition | Instrumentation

How to Calculate Potentiometer Output Voltage of the Circuit under Loaded Condition With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the Potentiometer Output Voltage of the circuit under loaded Condition.

To get the answer and workings of the Potentiometer Output Voltage of the circuit under loaded Condition using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on instrumentation under Materials and Metallurgical

Now, Click on Potentiometer Output Voltage of the Circuit under loaded Condition under Instrumentation

The screenshot below displays the page or activity to enter your values, to get the answer for the Potentiometer Output Voltage of the circuit under loaded Condition according to the respective parameters which is the Input Displacement (x_i), Maximum Possible Displacement (x_T), Input Voltage (v_i), Maximum Possible Resistance (R_T) and Resistance of the Measuring Device (R_l).

Now, enter the values appropriately and accordingly for the parameters as required by the  Input Displacement (x_i) is 12, Maximum Possible Displacement (x_T) is 6, Input Voltage (v_i) is 11, Maximum Possible Resistance (R_T) is 14 and Resistance of the Measuring Device (R_l) is 20.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the Potentiometer Output Voltage of the circuit under loaded Condition and presents the formula, workings and steps too.