Instantaneous Deflecting Torque Calculator

✖Resistance refers to the electrical resistance of the coil inside the galvanometer.ⓘ Resistance [R]			+10% -10%
✖Spring Constant in a galvanometer refers to the stiffness of the spring used to suspend the moving coil or pointer within the galvanometer.ⓘ Spring Constant [K]			+10% -10%
✖Current 1 is the flow of electric charge that causes the needle to deflect, allowing for the detection and measurement of small currents.ⓘ Current 1 [I₁]			+10% -10%
✖Current 2 is the electric charge flow that causes the needle to deflect, allowing for the detection and measurement of small currents.ⓘ Current 2 [I₂]			+10% -10%

✖Instantaneous Deflecting Torque refers to the torque exerted on an object at a specific moment in time.ⓘ Instantaneous Deflecting Torque [T_i]

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Formula

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Instantaneous Deflecting Torque

Formula

`"T"_{"i"} = "R"*"K"*("I"_{"1"}^2-"I"_{"2"}^2)`

Example

`"787.5N*m"="0.5Ω"*"1.5Nm/rad"*(("32.5A")^2-("2.5A")^2)`

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Instantaneous Deflecting Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2)
T_i = R*K*(I₁^2-I₂^2)
This formula uses 5 Variables

Variables Used

Instantaneous Deflecting Torque - (Measured in Newton Meter) - Instantaneous Deflecting Torque refers to the torque exerted on an object at a specific moment in time.
Resistance - (Measured in Ohm) - Resistance refers to the electrical resistance of the coil inside the galvanometer.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant in a galvanometer refers to the stiffness of the spring used to suspend the moving coil or pointer within the galvanometer.
Current 1 - (Measured in Ampere) - Current 1 is the flow of electric charge that causes the needle to deflect, allowing for the detection and measurement of small currents.
Current 2 - (Measured in Ampere) - Current 2 is the electric charge flow that causes the needle to deflect, allowing for the detection and measurement of small currents.

STEP 1: Convert Input(s) to Base Unit

Resistance: 0.5 Ohm --> 0.5 Ohm No Conversion Required
Spring Constant: 1.5 Newton Meter per Radian --> 1.5 Newton Meter per Radian No Conversion Required
Current 1: 32.5 Ampere --> 32.5 Ampere No Conversion Required
Current 2: 2.5 Ampere --> 2.5 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_i = R*K*(I₁^2-I₂^2) --> 0.5*1.5*(32.5^2-2.5^2)

Evaluating ... ...

T_i = 787.5

STEP 3: Convert Result to Output's Unit

787.5 Newton Meter --> No Conversion Required

FINAL ANSWER

787.5 Newton Meter <-- Instantaneous Deflecting Torque

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 17 Galvanometer Calculators

Instantaneous Deflecting Torque

Go Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2)

Average Current through Galvanometer

Go Electric Current = (2*Coil Turns*Magnetic Flux)/(Time*Resistance)

Current Sensitivity of Galvanometer

Go Current Sensitivity = Voltage Sensitivity*(Resistance+Galvanometer Resistance)

EMF across Galvanometer

Go Voltage across Galvanometer = Resistance*(Current 1-Current 2)

Length of Solenoid

Go Solenoid Length = (Electric Current*Coil Turns)/Magnetic Field

Voltage Sensitivity of Galvanometer

Go Voltage Sensitivity = Deflection Angle/Voltage across Galvanometer

Voltage across Galvanometer

Go Voltage across Galvanometer = Deflection Angle/Voltage Sensitivity

Deflection in Galvanometer

Go Deflection Angle = Voltage across Galvanometer*Voltage Sensitivity

Area of Secondary Coil

Go Secondary Coil Area = Secondary Coil Flux Linkage/Magnetic Field

Ballistic Sensitivity using Flux Linkage Sensitivity

Go Ballistic Sensitivity = Flux Linkage Sensitivity*Resistance

Final Steady Deflection in Galvanometer

Go Deflection Angle = Controlling Torque/Spring Constant

Spring Constant in Galvanometer

Go Spring Constant = Controlling Torque/Deflection Angle

Controlling Torque

Go Controlling Torque = Spring Constant*Deflection Angle

Charge passing through Galvanometer

Go Charge = Galvanometer Throw/Ballistic Sensitivity

Constant of Galvanometer

Go Galvanometer Constant = Charge/Galvanometer Throw

Throw of Galvanometer

Go Galvanometer Throw = Ballistic Sensitivity*Charge

Ballistic Sensitivity

Go Ballistic Sensitivity = Galvanometer Throw/Charge

Instantaneous Deflecting Torque Formula

Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2)
T_i = R*K*(I₁^2-I₂^2)

What is deflecting torque?

Deflecting torque refers to the torque exerted on the moving parts of an instrument or device that causes them to rotate or move in response to an external force or influence. In the context of electromechanical devices like galvanometers, deflecting torque plays a crucial role in indicating or measuring physical quantities such as electric current or charge.

How to Calculate Instantaneous Deflecting Torque?

Instantaneous Deflecting Torque calculator uses Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2) to calculate the Instantaneous Deflecting Torque, The Instantaneous Deflecting Torque formula is defined the torque exerted on a mechanical system at a specific moment in time, typically due to the application of forces or currents, influencing the system's angular displacement or deflection. Instantaneous Deflecting Torque is denoted by T_i symbol.

How to calculate Instantaneous Deflecting Torque using this online calculator? To use this online calculator for Instantaneous Deflecting Torque, enter Resistance (R), Spring Constant (K), Current 1 (I₁) & Current 2 (I₂) and hit the calculate button. Here is how the Instantaneous Deflecting Torque calculation can be explained with given input values -> 787.5 = 0.5*1.5*(32.5^2-2.5^2).

FAQ

What is Instantaneous Deflecting Torque?

The Instantaneous Deflecting Torque formula is defined the torque exerted on a mechanical system at a specific moment in time, typically due to the application of forces or currents, influencing the system's angular displacement or deflection and is represented as T_i = R*K*(I₁^2-I₂^2) or Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2). Resistance refers to the electrical resistance of the coil inside the galvanometer, Spring Constant in a galvanometer refers to the stiffness of the spring used to suspend the moving coil or pointer within the galvanometer, Current 1 is the flow of electric charge that causes the needle to deflect, allowing for the detection and measurement of small currents & Current 2 is the electric charge flow that causes the needle to deflect, allowing for the detection and measurement of small currents.

How to calculate Instantaneous Deflecting Torque?

The Instantaneous Deflecting Torque formula is defined the torque exerted on a mechanical system at a specific moment in time, typically due to the application of forces or currents, influencing the system's angular displacement or deflection is calculated using Instantaneous Deflecting Torque = Resistance*Spring Constant*(Current 1^2-Current 2^2). To calculate Instantaneous Deflecting Torque, you need Resistance (R), Spring Constant (K), Current 1 (I₁) & Current 2 (I₂). With our tool, you need to enter the respective value for Resistance, Spring Constant, Current 1 & Current 2 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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