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Physics of Semiconductor Devices Formation of PN - Junction When a P-type Semiconductor is joined together with an N-type Semiconductor a PN junction is formed. And it is also known as a Semiconductor Diode. Semiconductor diodes are widely used in Rectifiers which converts input AC signal into DC output signal. Ionized donors Junction P N - - + + + + + + + + Space charge region (OR) Depletion region Potential barrier(V0) Potential barrier width (W) Depletion Region & Space Charge The diffusing majority carriers from the two regions recombine near the junction and disappear. The uncompensated Acceptor and Donor ions set up an Electric field which halts majority carrier Diffusion and causes minority carrier Drift. The two kinds of majority carriers diffusing across the junction meet each other near the junction and undergo recombination's, leaving negative ions on the P-side and positive ions on the N-side of the junction. This distribution of Positive and Negative Charges is called Space charge. Diode Symbol N Cathode _ P Anode + Energy Diagram of PN diode: (a) & (b) Energy level diagrams of p – type and n-type semiconductor respectively (c) Energy level diagram of PN junction (d) Formation of potential barrier across the junction (c) Vn VB = Vn - Vp Vp (d) V - I Characteristics of PN Junction The diode can be operated in two different ways, as Forward and Reverse bias. When positive terminal of the battery is connected to the P-type & negative terminal is to the N-type of the PN-junction diode, known the diode is in forward bias. When negative terminal of the battery is connected to the P-type & positive terminal is to the N-type of the PN-junction diode, known the diode is in reverse bias. I Current Reverse Bias Forward Current Knee Voltage V Forward Bias Reverse break down current The region between knee voltage & breakdown voltage is known as non-ohmic region. Above the knee & breakdown voltage the current increases. Breakdown voltage is due to thermally broken covalent bonds. Diode is conducting in forward bias & non-conducting in reverse bias. A Rectifier is an electronic circuit which converts alternating current to direct current (OR) unidirectional current. Rectifiers are mainly three types 1.Half wave rectifiers 2.Full wave rectifiers 3.Bridge rectifiers An electronic circuit which converts alternating voltage (OR) current for half the period of input cycle hence it is named as half-wave rectifier. Half – Wave Rectifier A.C Input rf RL B transformer Pulsated D .C Output The ratio of D.C power output to applied A.C power input is known as rectifier efficiency. & Therefore, since, An electronic circuit which converts alternating voltage (OR) current into pulsating voltage (OR) current during both half cycle of input is known as full-wave rectifier. Full Wave Rectifier A rf rf B RL Center tapped transformer D .C Output The ratio of D.C power output to applied A.C power input is known as rectifier efficiency. & Therefore, Consider Intrinsic Semiconductor Electron Concentration 2mekT 32 EF Ec n2 ( ) exp( ) 2 h kT E Ec n N C exp( F ).........(1) kT Holes Concentration 2mekT 32 EV EF p2 ( ) exp( ) 2 h kT EV EF p N v exp( ).......( 2) kT 2mhkT 32 Where N v 2 ( ) 2 h 2m kT Where N C 2 ( ) h Equation 1 & 2 holds good for both intrinsic and extrinsic semiconductors under Thermal equilibrium condition. e 2 3 2 Electron Concentration For N type Material n nn , EF EFn , Ec Ecn nn N C EFn Ecn exp( ) kT nn np nn np For P type Material n n p , EF EFp , Ec Ecp n p N C exp( EFp Ecp E Fn Ecn exp( ) Ecp Ecn kT exp( ) E Fp Ecp kT exp( ) kT eVB exp( ) kT eVB n p nn exp( )..........(3) kT kT ) Hole Concentration For P type Material p p p , EF EFp , Ev Evp p p N v exp( Evp EFp kT pn pp pn pp ) For N type Material p pn , EF EFn , Ev Evn pn N v Evn EFn exp( ) kT Evn EFn ) Evn Evp kT exp( ) Evp EFp kT exp( ) kT eVB exp( ) kT exp( pn p p exp( eVB ).........(4) kT e(VB V ) n p n p nn exp( ) kT eVB eV n p n p nn exp( ). exp( ) kT kT eV n p n p n p exp( ) kT eV n p n p {exp( ) 1} kT ie c1n p c1n p {e eV K BT ih c2 pn c2 pn {e 1} eV K BT 1} I ie ih (c1n p c2 pn ){e eV K BT I ie ih (c1n p c2 pn ){e 1} eV K BT 1} e eV KT 1 I (c1n p c2 pn ) I 0 I0 is called reverse saturation current eV I I 0 exp( ) 1 KT eV I I 0 exp( ) 1 KT LEDs are typically made of compound semiconductors (OR) direct band gap semiconductors like gallium arsenide. LED is a highly doped diode Photons Sio2 P Ohmic Contacts(Al) N substrate VF - + Anode Cathode Current I(MA) V (volts)