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Current in Moving Coil Galvanometer Calculator

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✖The Spring Constant is the stiffness of a spring used in magnetic experiments. It affects the force needed to displace the spring in the presence of a magnetic field.ⓘ Spring Constant [K_spring]			+10% -10%
✖Angle of Deflection of Galvanometer is the measure of how much the needle moves when a current passes through it. This angle indicates the strength of the current flowing through the galvanometer.ⓘ Angle of Deflection of Galvanometer [θ_G]			+10% -10%
✖Number of Turns of Coil is the total number of loops of wire wound around a core.ⓘ Number of Turns of Coil [n]			+10% -10%
✖The Cross-Sectional Area is the area of a particular section of an object, usually perpendicular to its length. It is used to determine the object's capacity to carry current or force.ⓘ Cross-Sectional Area [A_{cross-sectional}]			+10% -10%
✖The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.ⓘ Magnetic Field [B]			+10% -10%

✖Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.ⓘ Current in Moving Coil Galvanometer [i]

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Formula

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Current in Moving Coil Galvanometer

Formula

i = \frac{K spring \cdot θ G}{n \cdot A cross-sectional \cdot B}

Example

0.125559 A = \frac{2.99 N/m \cdot 32 °}{95 \cdot 10000 m² \cdot 1.4E-5 Wb/m²}

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Current in Moving Coil Galvanometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field)
i = (K_spring*θ_G)/(n*A_{cross-sectional}*B)
This formula uses 6 Variables

Variables Used

Electric Current - (Measured in Ampere) - Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.
Spring Constant - (Measured in Newton per Meter) - The Spring Constant is the stiffness of a spring used in magnetic experiments. It affects the force needed to displace the spring in the presence of a magnetic field.
Angle of Deflection of Galvanometer - (Measured in Radian) - Angle of Deflection of Galvanometer is the measure of how much the needle moves when a current passes through it. This angle indicates the strength of the current flowing through the galvanometer.
Number of Turns of Coil - Number of Turns of Coil is the total number of loops of wire wound around a core.
Cross-Sectional Area - (Measured in Square Meter) - The Cross-Sectional Area is the area of a particular section of an object, usually perpendicular to its length. It is used to determine the object's capacity to carry current or force.
Magnetic Field - (Measured in Tesla) - The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.

STEP 1: Convert Input(s) to Base Unit

Spring Constant: 2.99 Newton per Meter --> 2.99 Newton per Meter No Conversion Required
Angle of Deflection of Galvanometer: 32 Degree --> 0.55850536063808 Radian (Check conversion here)
Number of Turns of Coil: 95 --> No Conversion Required
Cross-Sectional Area: 10000 Square Meter --> 10000 Square Meter No Conversion Required
Magnetic Field: 1.4E-05 Weber per Square Meter --> 1.4E-05 Tesla (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = (K_spring*θ_G)/(n*A_{cross-sectional}*B) --> (2.99*0.55850536063808)/(95*10000*1.4E-05)

Evaluating ... ...

i = 0.125558723932922

STEP 3: Convert Result to Output's Unit

0.125558723932922 Ampere --> No Conversion Required

FINAL ANSWER

0.125558723932922 ≈ 0.125559 Ampere <-- Electric Current

(Calculation completed in 00.004 seconds)

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Birla Institute of Technology & Science (BITS), Hyderabad

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< Magnetism Calculators

Force between Parallel Wires

Go Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)

Magnetic Field on Axis of Ring

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))

Magnetic Field at Center of Arc

Go Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)

Field Inside Solenoid

Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid

Current in Moving Coil Galvanometer Formula

Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field)
i = (K_spring*θ_G)/(n*A_{cross-sectional}*B)

What is a Moving Coil Galvanometer ?

A moving coil galvanometer is an instrument used to measure small electrical currents. It consists of a coil of wire that is mounted within a magnetic field. When an electric current passes through the coil, it experiences a torque due to the magnetic field, causing it to rotate. This rotation is measured by a pointer attached to the coil, providing a reading of the current.

How to Calculate Current in Moving Coil Galvanometer?

Current in Moving Coil Galvanometer calculator uses Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field) to calculate the Electric Current, Current in Moving Coil Galvanometer formula is defined as a measure of the electric current flowing through a coil in a galvanometer, which is a type of ammeter used to measure small currents, and is dependent on the spring constant, deflection angle, number of turns, area of the coil, and magnetic field strength. Electric Current is denoted by i symbol.

How to calculate Current in Moving Coil Galvanometer using this online calculator? To use this online calculator for Current in Moving Coil Galvanometer, enter Spring Constant (K_spring), Angle of Deflection of Galvanometer (θ_G), Number of Turns of Coil (n), Cross-Sectional Area (A_{cross-sectional}) & Magnetic Field (B) and hit the calculate button. Here is how the Current in Moving Coil Galvanometer calculation can be explained with given input values -> 0.839858 = (2.99*0.55850536063808)/(95*10000*1.4E-05).

FAQ

What is Current in Moving Coil Galvanometer?

Current in Moving Coil Galvanometer formula is defined as a measure of the electric current flowing through a coil in a galvanometer, which is a type of ammeter used to measure small currents, and is dependent on the spring constant, deflection angle, number of turns, area of the coil, and magnetic field strength and is represented as i = (K_spring*θ_G)/(n*A_{cross-sectional}*B) or Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field). The Spring Constant is the stiffness of a spring used in magnetic experiments. It affects the force needed to displace the spring in the presence of a magnetic field, Angle of Deflection of Galvanometer is the measure of how much the needle moves when a current passes through it. This angle indicates the strength of the current flowing through the galvanometer, Number of Turns of Coil is the total number of loops of wire wound around a core, The Cross-Sectional Area is the area of a particular section of an object, usually perpendicular to its length. It is used to determine the object's capacity to carry current or force & The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.

How to calculate Current in Moving Coil Galvanometer?

Current in Moving Coil Galvanometer formula is defined as a measure of the electric current flowing through a coil in a galvanometer, which is a type of ammeter used to measure small currents, and is dependent on the spring constant, deflection angle, number of turns, area of the coil, and magnetic field strength is calculated using Electric Current = (Spring Constant*Angle of Deflection of Galvanometer)/(Number of Turns of Coil*Cross-Sectional Area*Magnetic Field). To calculate Current in Moving Coil Galvanometer, you need Spring Constant (K_spring), Angle of Deflection of Galvanometer (θ_G), Number of Turns of Coil (n), Cross-Sectional Area (A_{cross-sectional}) & Magnetic Field (B). With our tool, you need to enter the respective value for Spring Constant, Angle of Deflection of Galvanometer, Number of Turns of Coil, Cross-Sectional Area & Magnetic Field 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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