Magnetic Deflection Sensitivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))
Sm = (Ldef*Lcrt)*sqrt(([Charge-e]/(2*[Mass-e]*Va)))
This formula uses 2 Constants, 1 Functions, 4 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Magnetic Deflection Sensitivity - (Measured in Meter per Volt) - Magnetic Deflection Sensitivity measures the sensitivity of magnetic deflection system in cathode ray tube.
Length of Deflecting Plates - (Measured in Meter) - The Length of deflecting plates in cathode ray tube is used to measure the electrostatic deflection as well as its sensitivity.
Cathode Ray Tube Length - (Measured in Meter) - The Cathode Ray Tube Length is the distance between the screen and the center of the deflecting plated in a cathode ray tube.
Anode Voltage - (Measured in Volt) - The Anode Voltage refers to the voltage of pre-accelerating anode of an electron when it moves in a cathode ray tube.
STEP 1: Convert Input(s) to Base Unit
Length of Deflecting Plates: 50 Meter --> 50 Meter No Conversion Required
Cathode Ray Tube Length: 0.012 Millimeter --> 1.2E-05 Meter (Check conversion here)
Anode Voltage: 90 Volt --> 90 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sm = (Ldef*Lcrt)*sqrt(([Charge-e]/(2*[Mass-e]*Va))) --> (50*1.2E-05)*sqrt(([Charge-e]/(2*[Mass-e]*90)))
Evaluating ... ...
Sm = 18.7553726847744
STEP 3: Convert Result to Output's Unit
18.7553726847744 Meter per Volt --> No Conversion Required
FINAL ANSWER
18.7553726847744 18.75537 Meter per Volt <-- Magnetic Deflection Sensitivity
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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14 Electrostatic Parameters Calculators

Magnetic Deflection Sensitivity
Go Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))
Electrostatic Deflection Sensitivity
Go Electrostatic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)/(2*Distance between Deflecting Plates*Anode Voltage)
Hall Voltage
Go Hall Voltage = ((Magnetic Field Strength*Electric Current)/(Hall Coefficient*Width of Semiconductor))
Radius of Electron on Circular Path
Go Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])
Electric Flux
Go Electric Flux = Electric Field Intensity*Area of Surface*cos(Angle)
Transition Capacitance
Go Transition Capacitance = ([Permitivity-vacuum]*Junction Plate Area)/Width of Depletion Region
Angular Speed of Particle in Magnetic Field
Go Angular Speed of Particle = (Particle Charge*Magnetic Field Strength)/Particle Mass
Angular Speed of Electron in Magnetic Field
Go Angular Speed of Electron = ([Charge-e]*Magnetic Field Strength)/[Mass-e]
Particle Acceleration
Go Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]
Magnetic Field Intensity
Go Magnetic Field Strength = Length of Wire/ (2*pi*Distance from Wire)
Path Length of Particle in Cycloidal Plane
Go Particle Cycloidal Path = Velocity of Electron in Force Fields/Angular Speed of Electron
Electric Field Intensity
Go Electric Field Intensity = Electric Force/Electric Charge
Electric Flux Density
Go Electric Flux Density = Electric Flux/Surface Area
Diameter of Cycloid
Go Diameter of Cycloid = 2*Particle Cycloidal Path

Magnetic Deflection Sensitivity Formula

Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))
Sm = (Ldef*Lcrt)*sqrt(([Charge-e]/(2*[Mass-e]*Va)))

How magnetic deflection sensitivity is created?

The deflection sensitivity can be increased by decreasing the accelerating voltage Va as is seen from the definition of deflection sensitivity. The beam will pass through a magnetic field 𝐵 oriented such that, the initial electron velocity will be perpendicular to the field. The beam will then experience a magnetic force, with an electron of mass m and charge e.

How to Calculate Magnetic Deflection Sensitivity?

Magnetic Deflection Sensitivity calculator uses Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage))) to calculate the Magnetic Deflection Sensitivity, The Magnetic Deflection Sensitivity in cathode ray tube is defined as the deflection of the beam on the screen per unit deflection voltage. Magnetic Deflection Sensitivity is denoted by Sm symbol.

How to calculate Magnetic Deflection Sensitivity using this online calculator? To use this online calculator for Magnetic Deflection Sensitivity, enter Length of Deflecting Plates (Ldef), Cathode Ray Tube Length (Lcrt) & Anode Voltage (Va) and hit the calculate button. Here is how the Magnetic Deflection Sensitivity calculation can be explained with given input values -> 18.75537 = (50*1.2E-05)*sqrt(([Charge-e]/(2*[Mass-e]*90))).

FAQ

What is Magnetic Deflection Sensitivity?
The Magnetic Deflection Sensitivity in cathode ray tube is defined as the deflection of the beam on the screen per unit deflection voltage and is represented as Sm = (Ldef*Lcrt)*sqrt(([Charge-e]/(2*[Mass-e]*Va))) or Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage))). The Length of deflecting plates in cathode ray tube is used to measure the electrostatic deflection as well as its sensitivity, The Cathode Ray Tube Length is the distance between the screen and the center of the deflecting plated in a cathode ray tube & The Anode Voltage refers to the voltage of pre-accelerating anode of an electron when it moves in a cathode ray tube.
How to calculate Magnetic Deflection Sensitivity?
The Magnetic Deflection Sensitivity in cathode ray tube is defined as the deflection of the beam on the screen per unit deflection voltage is calculated using Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage))). To calculate Magnetic Deflection Sensitivity, you need Length of Deflecting Plates (Ldef), Cathode Ray Tube Length (Lcrt) & Anode Voltage (Va). With our tool, you need to enter the respective value for Length of Deflecting Plates, Cathode Ray Tube Length & Anode Voltage 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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