Magnetic Deflection Sensitivity Calculator

✖The Length of deflecting plates in cathode ray tube is used to measure the electrostatic deflection as well as its sensitivity.ⓘ Length of Deflecting Plates [L_def]			+10% -10%
✖The Cathode Ray Tube Length is the distance between the screen and the center of the deflecting plated in a cathode ray tube.ⓘ Cathode Ray Tube Length [L_crt]			+10% -10%
✖The Anode Voltage refers to the voltage of pre-accelerating anode of an electron when it moves in a cathode ray tube.ⓘ Anode Voltage [V_a]			+10% -10%

✖Magnetic Deflection Sensitivity measures the sensitivity of magnetic deflection system in cathode ray tube.ⓘ Magnetic Deflection Sensitivity [S_m]

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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)))
S_m = (L_def*L_crt)*sqrt(([Charge-e]/(2*[Mass-e]*V_a)))
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

S_m = (L_def*L_crt)*sqrt(([Charge-e]/(2*[Mass-e]*V_a))) --> (50*1.2E-05)*sqrt(([Charge-e]/(2*[Mass-e]*90)))

Evaluating ... ...

S_m = 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 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Electrostatic Parameters Calculators

Magnetic Deflection Sensitivity

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

Electrostatic Deflection Sensitivity

LaTeX Go Electrostatic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)/(2*Distance between Deflecting Plates*Anode Voltage)

Radius of Electron on Circular Path

LaTeX Go Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])

Particle Acceleration

LaTeX Go Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]

Magnetic Deflection Sensitivity Formula

LaTeX Go

Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))
S_m = (L_def*L_crt)*sqrt(([Charge-e]/(2*[Mass-e]*V_a)))

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 S_m 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 (L_def), Cathode Ray Tube Length (L_crt) & Anode Voltage (V_a) 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 S_m = (L_def*L_crt)*sqrt(([Charge-e]/(2*[Mass-e]*V_a))) 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 (L_def), Cathode Ray Tube Length (L_crt) & Anode Voltage (V_a). 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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