Credits

Vellore Institute of Technology (VIT), Vellore
Nikita Suryawanshi has created this Calculator and 100+ more calculators!
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1000+ more calculators!

Value of Unknown Inductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2)))
Lx = (R2*R3*Cx)/(1+((ω^2)*(R1^2)*(Cx^2)))
This formula uses 5 Variables
Variables Used
Resistance 2 - Resistance 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top) (Measured in Ohm)
Resistance 3 - Resistance 3 is the value of resistance connected in arm CD (ABCD is labelled clockwise, with A being labelled at the top) (Measured in Ohm)
Capacitance 1 - Capacitance 1 is the value of the capacitor in arm AD in parallel with Resistance 1 (Measured in Farad)
Excitation Speed - Excitation Speed is the speed at which the body is made vibrate in forced vibration (Measured in Radian per Second)
Resistance 1 - Resistance 1 is the value of resistance connected in arm AD (ABCD is labelled clockwise, with A being labelled at the top) (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Resistance 2: 20 Ohm --> 20 Ohm No Conversion Required
Resistance 3: 25 Ohm --> 25 Ohm No Conversion Required
Capacitance 1: 0.1 Farad --> 0.1 Farad No Conversion Required
Excitation Speed: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Resistance 1: 10 Ohm --> 10 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lx = (R2*R3*Cx)/(1+((ω^2)*(R1^2)*(Cx^2))) --> (20*25*0.1)/(1+((10^2)*(10^2)*(0.1^2)))
Evaluating ... ...
Lx = 0.495049504950495
STEP 3: Convert Result to Output's Unit
0.495049504950495 Henry --> No Conversion Required
FINAL ANSWER
0.495049504950495 Henry <-- Unknown Inductance
(Calculation completed in 00.016 seconds)

3 Hays' Bridge Calculators

Value of Unknown Resistance of Hays' bridge
r_x = ((Excitation Speed^2)*Resistance 1*Resistance 2*Resistance 3*(Capacitance 1^2))/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2))) Go
Value of Unknown Inductance
l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2))) Go
Value of Quality Factor of Hays' Bridge
q_f = 1/(Excitation Speed*Resistance 1*Capacitance 1) Go

Value of Unknown Inductance Formula

l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2)))
Lx = (R2*R3*Cx)/(1+((ω^2)*(R1^2)*(Cx^2)))

What is the range of measurement of inductance?

Using the Hays' bridge, a small range of inductance can be measured. The range of inductance is from one Henry to a hundred micro Henrys, with a 2% accuracy.

How to Calculate Value of Unknown Inductance?

Value of Unknown Inductance calculator uses l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2))) to calculate the Unknown Inductance, The Value of Unknown Inductance formula is used to calculate the value of inductance such that Hays' bridge is balanced. Unknown inductance and resistance are in series. Unknown Inductance and is denoted by Lx symbol.

How to calculate Value of Unknown Inductance using this online calculator? To use this online calculator for Value of Unknown Inductance, enter Resistance 2 (R2), Resistance 3 (R3), Capacitance 1 (Cx), Excitation Speed (ω) and Resistance 1 (R1) and hit the calculate button. Here is how the Value of Unknown Inductance calculation can be explained with given input values -> 0.49505 = (20*25*0.1)/(1+((10^2)*(10^2)*(0.1^2))).

FAQ

What is Value of Unknown Inductance?
The Value of Unknown Inductance formula is used to calculate the value of inductance such that Hays' bridge is balanced. Unknown inductance and resistance are in series and is represented as Lx = (R2*R3*Cx)/(1+((ω^2)*(R1^2)*(Cx^2))) or l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2))). Resistance 2 is the value of resistance connected in arm AB (ABCD is labelled clockwise, with A being labelled at the top), Resistance 3 is the value of resistance connected in arm CD (ABCD is labelled clockwise, with A being labelled at the top), Capacitance 1 is the value of the capacitor in arm AD in parallel with Resistance 1, Excitation Speed is the speed at which the body is made vibrate in forced vibration and Resistance 1 is the value of resistance connected in arm AD (ABCD is labelled clockwise, with A being labelled at the top).
How to calculate Value of Unknown Inductance?
The Value of Unknown Inductance formula is used to calculate the value of inductance such that Hays' bridge is balanced. Unknown inductance and resistance are in series is calculated using l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2))). To calculate Value of Unknown Inductance, you need Resistance 2 (R2), Resistance 3 (R3), Capacitance 1 (Cx), Excitation Speed (ω) and Resistance 1 (R1). With our tool, you need to enter the respective value for Resistance 2, Resistance 3, Capacitance 1, Excitation Speed and Resistance 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Unknown Inductance?
In this formula, Unknown Inductance uses Resistance 2, Resistance 3, Capacitance 1, Excitation Speed and Resistance 1. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • r_x = ((Excitation Speed^2)*Resistance 1*Resistance 2*Resistance 3*(Capacitance 1^2))/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2)))
  • l_x = (Resistance 2*Resistance 3*Capacitance 1)/(1+((Excitation Speed^2)*(Resistance 1^2)*(Capacitance 1^2)))
  • q_f = 1/(Excitation Speed*Resistance 1*Capacitance 1)
Where is the Value of Unknown Inductance calculator used?
Among many, Value of Unknown Inductance calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!