Brewsters Angle Calculator

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✖Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1.ⓘ Refractive Index of Medium 1 [n₁]			+10% -10%
✖Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.ⓘ Refractive Index [n_ri]			+10% -10%

✖Brewster's Angle is the angle of incidence at which the reflected light is completely plane polarized.ⓘ Brewsters Angle [θ_B]

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Formula

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Brewsters Angle

Formula

`"θ"_{"B"} = arctan("n"_{"1"}/"n"_{"ri"})`

Example

`"56.0463°"=arctan("1.5"/"1.01")`

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Brewsters Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)
θ_B = arctan(n₁/n_ri)
This formula uses 3 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Brewster's Angle - (Measured in Radian) - Brewster's Angle is the angle of incidence at which the reflected light is completely plane polarized.
Refractive Index of Medium 1 - Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1.
Refractive Index - Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

STEP 1: Convert Input(s) to Base Unit

Refractive Index of Medium 1: 1.5 --> No Conversion Required
Refractive Index: 1.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_B = arctan(n₁/n_ri) --> arctan(1.5/1.01)

Evaluating ... ...

θ_B = 0.978192528724355

STEP 3: Convert Result to Output's Unit

0.978192528724355 Radian -->56.0463034471456 Degree (Check conversion here)

FINAL ANSWER

56.0463034471456 ≈ 56.0463 Degree <-- Brewster's Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

Priyanka G Chalikar has created this Calculator and 10+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 14 Devices with Optical Components Calculators

PN Junction Capacitance

Go Junction Capacitance = PN Junction Area/2*sqrt((2*[Charge-e]*Relative Permittivity*[Permitivity-silicon])/(Voltage Across PN Junction-(Reverse Bias Voltage))*((Acceptor Concentration*Donor Concentration)/(Acceptor Concentration+Donor Concentration)))

Electron Concentration under Unbalanced Condition

Go Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature))

Diffusion Length of Transition Region

Go Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)

Current Due to Optically Generated Carrier

Go Optical Current = Charge*PN Junction Area*Optical Generation Rate*(Transition Width+Diffusion Length of Transition Region+Length of P-Side Junction)

Peak Retardation

Go Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage

Maximum Acceptance Angle of Compound Lens

Go Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))

Effective Density of States in Conduction Band

Go Effective Density of States = 2*(2*pi*Effective Mass of Electron*[BoltZ]*Absolute Temperature/[hP]^2)^(3/2)

Diffusion Coefficient of Electron

Go Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]

Diffraction using Fresnel-Kirchoff Formula

Go Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)

Fringe Spacing given Apex Angle

Go Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))

Excitation Energy

Go Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2)

Brewsters Angle

Go Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)

Angle of Rotation of Plane of Polarization

Go Angle of Rotation = 1.8*Magnetic Flux Density*Length of Medium

Apex Angle

Go Apex Angle = tan(Alpha)

Brewsters Angle Formula

Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)
θ_B = arctan(n₁/n_ri)

When is Brewster's angle used?

Brewster's angle is used to produce polarized light that is used to reduce glare from the sun which is used in polaroid glasses.

How to Calculate Brewsters Angle?

Brewsters Angle calculator uses Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index) to calculate the Brewster's Angle, The Brewsters Angle formula is defined as the angle of incidence at which the reflected light is completely plane polarized also, the angle between the reflected and refracted ray is 90 degrees. It is given by arctan of the ratio of the refractive index of the medium in which the light ray is reflected to that of the incident ray. Brewster's Angle is denoted by θ_B symbol.

How to calculate Brewsters Angle using this online calculator? To use this online calculator for Brewsters Angle, enter Refractive Index of Medium 1 (n₁) & Refractive Index (n_ri) and hit the calculate button. Here is how the Brewsters Angle calculation can be explained with given input values -> 3211.217 = arctan(1.5/1.01).

FAQ

What is Brewsters Angle?

The Brewsters Angle formula is defined as the angle of incidence at which the reflected light is completely plane polarized also, the angle between the reflected and refracted ray is 90 degrees. It is given by arctan of the ratio of the refractive index of the medium in which the light ray is reflected to that of the incident ray and is represented as θ_B = arctan(n₁/n_ri) or Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index). Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1 & Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

How to calculate Brewsters Angle?

The Brewsters Angle formula is defined as the angle of incidence at which the reflected light is completely plane polarized also, the angle between the reflected and refracted ray is 90 degrees. It is given by arctan of the ratio of the refractive index of the medium in which the light ray is reflected to that of the incident ray is calculated using Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index). To calculate Brewsters Angle, you need Refractive Index of Medium 1 (n₁) & Refractive Index (n_ri). With our tool, you need to enter the respective value for Refractive Index of Medium 1 & Refractive Index 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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