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ELECTRONIC DEVICES AND CIRCUITS Faculty: Mr. M SRINIVAS REDDY UNIT-I • ELECTRON DYNAMICS AND CRO: Motion of charged particles in electric and magnetic fields. Simple problems involving electric and magnetic fields only. Electrostatic and magnetic focusing. Principles of CRT, deflection sensitivity (Electrostatic and magnetic deflection), parallel and perpendicular electric and magnetic fields Deflection of Electrons in a Uniform Electric Field • Consider an electron beam directed between two oppositely charged parallel plates as shown below. • With a constant potential difference between the two deflecting plates, the trace is curved + towards the positive plate. d - Deflection of Electrons in a Uniform Electric Field • The force acting on each electron in the field is given by eVP F eE d where E = electric field strength, Vp = p.d. between plates, d = plate spacing. Deflection of Electrons in a Uniform Electric Field • The vertical displacement y is given by 1 2 1 eV p 2 y at ( )t 2 2 md 1 eV p x 2 ( ) 2 2 md v This is the equation for a parabola. Deflection of Electrons in a Uniform Magnetic Field • The force F acting on an electron in a uniform magnetic field is given by F Bev Since the magnetic force F is at right angles to the velocity direction, the electron moves round a circular path. Deflection of Electrons in a Uniform Magnetic Field • The centripetal acceleration of the electrons is Bev a m v 2 Bev Hence a r m mv r eB which gives Cathode Ray Oscilloscope (CRO) • The structure of the cathode ray tube Cathode Ray Oscilloscope Controls • Y-Gain • Time Base Y-Gain • amplifies the Y-deflection • small input voltages are amplified by built-in amplifiers before applying to the Y-plates. • Y- Gain = 0.5 V/div – 0.5 volt will cause a vertical deflection of 1 division Time Base • is a saw-tooth voltage applied internally across the X-plates. volts time Time Base • controls the speed at which the spot sweeps across the screen horizontally from left to right. volts spot on right side of screen spot at centre of screen 0 Fly back time spot on left side of screen Time taken for spot to move across the screen and back volts spot on right side of screen spot at centre of screen Fly back 0 time spot on left side of screen Screen Time Base • it helps to display the actual waveform of any a.c. applied across the Y-plates • normally calibrated in – s/cm – ms/cm – s/cm • gives the time required for the spot to sweep 1 cm horizontally across the screen. Time Base: How It Works volts spot on right side of screen spot at centre of screen spot on left side of screen B Fly back 0 A time C Time taken for spot to move across the screen and back Uses of c.r.o. • Measure potential difference – d.c. – a.c. • Display waveforms of alternating p.d. • Measure short intervals of time, and • Compare frequencies Measuring d.c. Potential Difference • switch off the time-base • a spot will be seen on the c.r.o. screen • d.c. to be measured is applied to the Yplates • spot will either deflected upwards or downwards • deflection of the spot is proportional to the d.c. voltage applied Measuring d.c. Potential Difference y If the Y-gain control is set at 2 volts/division And the vertical deflection, y, is 1.5 Then d.c. voltage Y-input = 1.5 x 2 = 3.0 V Measuring a.c. voltage • • • • switch off the time-base a spot will be seen on the c.r.o. screen a.c. to be measured is applied to the Y-plates spot will move up and down along the vertical axis at the same frequency as the alternating voltage – spot moves to the top when the voltage increases to its maximum (positive) – spot moves to the bottom when the voltage decreases to its lowest (negative) Measuring a.c. voltage • When the frequency is high – the spot will move so fast that a vertical line is seen on the screen • Length of the vertical line gives the peakto-peak voltage (Vpp) applied to the Y-plate • The peak voltage (Vp) is = Vpp/2 Measuring a.c. voltage Vpp Y-input Measuring a.c. voltage Vp Vpp Vp = Vpp/2 C.R.O. as a Voltmeter • it has nearly infinite resistance (between the X- and Y-plates), therefore draws very little current; • it can be used to measure both d.c. and a.c. voltages; and • it has an immediate response. Displaying Waveforms • Set the time-base to a suitable frequency, • Apply the input to the Y-plate – a steady waveform of the input will be displayed on the c.r.o. Displaying Waveforms Y-input Displaying Waveforms • When input voltage frequency is the same as the time-base frequency Input Voltage c.r.o. screen Displaying Waveforms • When input voltage frequency is the twice the time-base frequency Input Voltage c.r.o. screen Measuring Short Time Intervals • Set time-base to its lowest frequency range • Connect microphone to the Y-input • Blow two short whistles into the microphone – two short pulses, at short interval apart will be displayed on the c.r.o. screen Measuring Short Time Intervals If the time-base is 10 ms/division t divisions and if the separation between pulses is t divisions then time interval is 10t ms c.r.o. screen Measuring Short Time Intervals Y-input Lissajous’ Figures • Lissajous’ figure can be displayed by applying two a.c. signals simultaneously to the X-plates and Y-plates of an oscilloscope. • As the frequency, amplitude and phase difference are altered, different patterns are seen on the screen of the CRO. Lissajous’ Figures Same amplitude but different frequencies