Forces on Charges Moving in Magnetic Fields Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors)
F = q*u*B*sin(θ)
This formula uses 1 Functions, 5 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Force - (Measured in Newton) - Force is defined as the attraction or repulsion that arises between particles because of the motion.
Electric Charge - (Measured in Coulomb) - Electric Charge is the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field.
Charge Velocity - (Measured in Meter per Second) - Charge Velocity is defined as the speed with which charge drifts in a conductor.
Magnetic Flux Density - (Measured in Tesla) - Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH.
Angle between Vectors - (Measured in Radian) - Angle between Vectors is defined as the angle made by the two vectors on a two phase plane with respect to the direction of movement of each other.
STEP 1: Convert Input(s) to Base Unit
Electric Charge: 0.18 Millicoulomb --> 0.00018 Coulomb (Check conversion here)
Charge Velocity: 4250 Meter per Second --> 4250 Meter per Second No Conversion Required
Magnetic Flux Density: 0.2 Tesla --> 0.2 Tesla No Conversion Required
Angle between Vectors: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = q*u*B*sin(θ) --> 0.00018*4250*0.2*sin(1.5707963267946)
Evaluating ... ...
F = 0.153
STEP 3: Convert Result to Output's Unit
0.153 Newton --> No Conversion Required
FINAL ANSWER
0.153 Newton <-- Force
(Calculation completed in 00.004 seconds)

Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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6 Electrical Specifications Calculators

Forces on Current Carrying Wires
Go Force = Magnetic Flux Density*Electric Current*Length of Conductor*sin(Angle between Vectors)
Forces on Charges Moving in Magnetic Fields
Go Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors)
Minimum Frequency to Avoid Saturation
Go Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*Area of Coil)
Voltages Induced in Field Cutting Conductors
Go Voltage = Magnetic Flux Density*Length of Conductor*Charge Velocity
Percent Voltage Regulation
Go Percentage Regulation = ((No Load Voltage-Voltage)/Voltage)*100
Energy Stored in Magnetic Field
Go Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)

Forces on Charges Moving in Magnetic Fields Formula

Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors)
F = q*u*B*sin(θ)

Define magnetic flux through an area?

Magnetic flux is a measure of the quantity of magnetism, being the total number of magnetic lines of force passing through a specified area in a magnetic field. Magnetic flux through a plane of area A placed in a uniform magnetic field B can be written as
ϕ =B.A=BAcosθ

How to Calculate Forces on Charges Moving in Magnetic Fields?

Forces on Charges Moving in Magnetic Fields calculator uses Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors) to calculate the Force, The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field. Force is denoted by F symbol.

How to calculate Forces on Charges Moving in Magnetic Fields using this online calculator? To use this online calculator for Forces on Charges Moving in Magnetic Fields, enter Electric Charge (q), Charge Velocity (u), Magnetic Flux Density (B) & Angle between Vectors (θ) and hit the calculate button. Here is how the Forces on Charges Moving in Magnetic Fields calculation can be explained with given input values -> 0.153 = 0.00018*4250*0.2*sin(1.5707963267946).

FAQ

What is Forces on Charges Moving in Magnetic Fields?
The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field and is represented as F = q*u*B*sin(θ) or Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors). Electric Charge is the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field, Charge Velocity is defined as the speed with which charge drifts in a conductor, Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH & Angle between Vectors is defined as the angle made by the two vectors on a two phase plane with respect to the direction of movement of each other.
How to calculate Forces on Charges Moving in Magnetic Fields?
The Forces on Charges Moving in Magnetic Fields formula is defined as the force acting on a charge perpendicular to the direction of its movement through a magnetic field is calculated using Force = Electric Charge*Charge Velocity*Magnetic Flux Density*sin(Angle between Vectors). To calculate Forces on Charges Moving in Magnetic Fields, you need Electric Charge (q), Charge Velocity (u), Magnetic Flux Density (B) & Angle between Vectors (θ). With our tool, you need to enter the respective value for Electric Charge, Charge Velocity, Magnetic Flux Density & Angle between Vectors 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 Force?
In this formula, Force uses Electric Charge, Charge Velocity, Magnetic Flux Density & Angle between Vectors. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force = Magnetic Flux Density*Electric Current*Length of Conductor*sin(Angle between Vectors)
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