Write a Matlab program that finds numerically all the roots (or the zeros) of the algebraic equation below in the interval 1.0 <=x<=3.0: sqrt(log(x^2+1))=x^2*sin(e^x)+2Part a) Prompt the user to enter a positive integer number n, defined the range 2<=n<=15, and then verify if the number entered lies within the specifications. Your program must allow the user to reenter the number without the need to rerun the program. Part b) Create a user-defined function for the bisection method(see details below). Inside the user-defined function, use the built-in Matlab inline function command (see Lecture Part #3 on Blackboard) to define a function (f(x)) corresponding to the difference between the two sides of the above algebraic equation:f(x)=sqrt(log(x^2+1)) -x^2*sin(e^x)-2Part c) Determine ALL the roots(or zeros) of the above-defined equation using the BISECTION METHOD (see details below)with a precision better than 10-n, where n is the number provided by the user by searching the roots using the bisection function in the interval [1,3] at interval steps of 0.2.Part d) A plot displaying the function corresponding to the difference between the two sides of the above-defined algebraic equation. The x-axis MUST be defined in the range [1,3 ]and the plot MUST have 1000 evenly spaced points. Label the x-axis and y-axis and add a title to the plot. Display inside the function plot all the roots determined from the bisection method. THE BISECTION METHOD: approximates a root of a function (named f(x)) on an interval containing the root. Assume that xL and xR is an interval [xL, xR] where the function has one root. Assume also that function f(x)is continuous in the interval. If the interval is bisected by computing its midpoint, xM, XM=(XL+XR)/2then, three possible situations may occur:1.f(xM)=0, then xM is the root of the function;2.the root is in the left half of the interval [xL, xM];3.the root is in the right half of the interval [xM, xR];f f(xM)≠ 0, then the interval (left half or right half) where the root is located is bisected again. This process is repeated until |f(xM)|<10-n, returning as the root of the function the last calculated xM.

Infrared sensor is most used sensor in wireless technology where remote controlling functions and detection of surrounding objects/ obstacles are involved. this post will discuss about what is infrared sensor, its working principle, how it works, types, applications, advantages and disadvantages. what is infrared sensor

ir sensor is a simple electronic device which emits and detects ir radiation in order to find out certain objects/obstacles in its range. some of its features are heat and motion sensing.

ir sensors use infrared radiation of wavelength between 0.75 to 1000µm which falls between visible and microwave regions of electromagnetic spectrum. ir region is not visible to human eyes. infrared spectrum is categorized into three regions based on its wavelength i.e. near infrared, mid infrared, far infrared.

wavelength regions of infrared spectrum

near ir – 0.75µm to 3 µm
mid ir – 3 µm to 6 µm
far ir – > 6 µm
1 introduction to infrared sensor

fig. 1 – introduction to infrared sensor

working principle of infrared sensor

infrared sensors works on three fundamental physics laws:

planck’s radiation law: any object whose temperature is not equal to absolute zero (0 kelvin) emits radiation.
stephan boltzmann law: the total energy emitted at all wavelengths by a black body is related to the absolute temperature.
wein’s displacement law: objects of different temperature emit spectra that peak at different wavelengths that is inversely proportional to temperature.
key elements of infrared detection system

the key elements of infrared detection system are:

ir transmitter

ir transmitter acts as source for ir radiation. according to plank’s radiation law, every object is a source of ir radiation at temp t above 0 kelvin. in most cases black body radiators, tungsten lamps, silicon carbide, infrared lasers, leds of infrared wavelength are used as sources.

transmission medium

as the name suggests, transmission medium provides passage for the radiation to reach from ir transmitter to ir receiver. vacuum, atmosphere and optical fibers are used as medium.

ir receiver

generally ir receivers are photo diode and photo transistors. they are capable of detecting infrared radiation. hence ir receiver is also called as ir detector. variety of receivers are available based on wavelength, voltage and package.

ir transmitter and receivers are selected with matching parameters. some of deciding specifications of receivers are photosensitivity or responsivity, noise equivalent power and detectivity.

Dance , dance , dance , dance follow me on Instagram Jae.diorrr