Capacitor Current in Anderson Bridge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge
Ic(ab) = I1(ab)*ω*C(ab)*R3(ab)
This formula uses 5 Variables
Variables Used
Capacitor Current in Anderson Bridge - (Measured in Ampere) - Capacitor Current in Anderson Bridge refers to the current flowing through the capacitor present in the bridge circuit.
Inductor Current in Anderson Bridge - (Measured in Ampere) - Inductor Current in Anderson Bridge refers to the current flowing through the unknown inductor present in the bridge circuit.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion.
Capacitance in Anderson Bridge - (Measured in Farad) - Capacitance in Anderson Bridge refers to the value of the capacitor used in the bridge circuit. The capacitance in the Anderson Bridge is a known value.
Known Resistance 3 in Anderson Bridge - (Measured in Ohm) - Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.
STEP 1: Convert Input(s) to Base Unit
Inductor Current in Anderson Bridge: 0.58 Ampere --> 0.58 Ampere No Conversion Required
Angular Frequency: 200 Radian per Second --> 200 Radian per Second No Conversion Required
Capacitance in Anderson Bridge: 420 Microfarad --> 0.00042 Farad (Check conversion here)
Known Resistance 3 in Anderson Bridge: 50 Ohm --> 50 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ic(ab) = I1(ab)*ω*C(ab)*R3(ab) --> 0.58*200*0.00042*50
Evaluating ... ...
Ic(ab) = 2.436
STEP 3: Convert Result to Output's Unit
2.436 Ampere --> No Conversion Required
FINAL ANSWER
2.436 Ampere <-- Capacitor Current in Anderson Bridge
(Calculation completed in 00.004 seconds)

Credits

Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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3 Anderson Bridge Calculators

Unknown Inductance in Anderson Bridge
Go Unknown Inductance in Anderson Bridge = Capacitance in Anderson Bridge*(Known Resistance 3 in Anderson Bridge/Known Resistance 4 in Anderson Bridge)*((Series Resistance in Anderson Bridge*(Known Resistance 4 in Anderson Bridge+Known Resistance 3 in Anderson Bridge))+(Known Resistance 2 in Anderson Bridge*Known Resistance 4 in Anderson Bridge))
Unknown Resistance in Anderson Bridge
Go Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge
Capacitor Current in Anderson Bridge
Go Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge

Capacitor Current in Anderson Bridge Formula

Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge
Ic(ab) = I1(ab)*ω*C(ab)*R3(ab)

What are the disadvantages of Anderson's bridge?

Anderson's bridge is a simple and efficient method for solving linear systems, but it has some disadvantages. One of the main drawbacks is that it can be numerically unstable, leading to inaccurate solutions in some cases. Additionally, the method assumes that the matrix is persistently definite, which may not always be the case in practice. Finally, the method can be slower than other methods, such as Gaussian elimination, for larger matrices.

How to Calculate Capacitor Current in Anderson Bridge?

Capacitor Current in Anderson Bridge calculator uses Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge to calculate the Capacitor Current in Anderson Bridge, The Capacitor Current in Anderson Bridge formula refers to the current flowing through the capacitor present in the bridge circuit. The capacitor current is significant in the Anderson Bridge because it helps establish the balance condition in the bridge circuit. By adjusting the values of the known resistors, the variable resistor, and the capacitor, the bridge can be balanced, indicating that the ratio of the impedances in the ratio arms is equal to the ratio of the impedances in the variable resistor arm and the unknown inductance arm. Capacitor Current in Anderson Bridge is denoted by Ic(ab) symbol.

How to calculate Capacitor Current in Anderson Bridge using this online calculator? To use this online calculator for Capacitor Current in Anderson Bridge, enter Inductor Current in Anderson Bridge (I1(ab)), Angular Frequency (ω), Capacitance in Anderson Bridge (C(ab)) & Known Resistance 3 in Anderson Bridge (R3(ab)) and hit the calculate button. Here is how the Capacitor Current in Anderson Bridge calculation can be explained with given input values -> 2.436 = 0.58*200*0.00042*50.

FAQ

What is Capacitor Current in Anderson Bridge?
The Capacitor Current in Anderson Bridge formula refers to the current flowing through the capacitor present in the bridge circuit. The capacitor current is significant in the Anderson Bridge because it helps establish the balance condition in the bridge circuit. By adjusting the values of the known resistors, the variable resistor, and the capacitor, the bridge can be balanced, indicating that the ratio of the impedances in the ratio arms is equal to the ratio of the impedances in the variable resistor arm and the unknown inductance arm and is represented as Ic(ab) = I1(ab)*ω*C(ab)*R3(ab) or Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge. Inductor Current in Anderson Bridge refers to the current flowing through the unknown inductor present in the bridge circuit, Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion, Capacitance in Anderson Bridge refers to the value of the capacitor used in the bridge circuit. The capacitance in the Anderson Bridge is a known value & Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.
How to calculate Capacitor Current in Anderson Bridge?
The Capacitor Current in Anderson Bridge formula refers to the current flowing through the capacitor present in the bridge circuit. The capacitor current is significant in the Anderson Bridge because it helps establish the balance condition in the bridge circuit. By adjusting the values of the known resistors, the variable resistor, and the capacitor, the bridge can be balanced, indicating that the ratio of the impedances in the ratio arms is equal to the ratio of the impedances in the variable resistor arm and the unknown inductance arm is calculated using Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge. To calculate Capacitor Current in Anderson Bridge, you need Inductor Current in Anderson Bridge (I1(ab)), Angular Frequency (ω), Capacitance in Anderson Bridge (C(ab)) & Known Resistance 3 in Anderson Bridge (R3(ab)). With our tool, you need to enter the respective value for Inductor Current in Anderson Bridge, Angular Frequency, Capacitance in Anderson Bridge & Known Resistance 3 in Anderson Bridge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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