TPS Physics Papers with Solution 19 252 Semiconductor - Paper with Solution Section A - (4 Marks) 1. Semiconductor Sr. Intrinsic Extrinsic No. Semiconductor Semiconductor 1. It is pure semiconductor and no impurity atoms are added to it. It is prepared by doping a small quantity of impurity atoms to the pure semiconducting material. 2. Its electrical conductivity is low. Its electrical conductivity is high. Carriers in base region of p-n-p transistor are [1] a) minority carriers b) majority carriers c) both a and b d) electrons Soln.: 2. Soln.: 3. d) electrons To obtain n-type semiconductor the impurity introduced is [1] a) Arsenic b) Aluminum c) Silicon d) Indium 6. a) Arsenic What is zener breakdown voltage ? [1] What is doping ? Draw the schematic symbols for AND, OR, Not and NAND gate [2] Soln.: Soln.: In reverse bias initially a small reverse saturated correct flows, but when reverse bias reaches a particular value the current increases suddenly. This voltage is called as zener breakdown voltage. 4. [Each 1 Mark] AND [½] OR [1] Soln.: The process of introduction of impurity in semiconductor is called as doping. [½] NOT Section B – (12 Marks) 5. Soln.: Distinguish between intrinsic and extrinsic semiconductor [2] [½] NAND [½] TPS Physics Papers with Solution 7. 253 State any two applications of solar cell [2] Soln.: 9. Semiconductor Draw the block diagram of oscillator. [2] Soln.: 1) Solar cells are used in remote places, satellites, sensors and equipment kept in deep forest 2) Solar cells are used in calculators, watches, portable TV sets. [1 Mark each] 8. Explain the P-N junction diode as a forward biased mode [2] 10 State any four applications of LED’s Soln.: 1. [2] Forward biasing : In this case, the positive terminal of a battery is connected to p-side and negative terminal to n-side. – The e from the negative side terminal of the battery enter the n-side and lower the positive potential of the nside. The electrons from are attracted to the positive terminal of battery creating fresh holes on p side. [½] Hence p side becomes less negative. Therefore the potential barrier at the junction – is lowered and e which constitute the majority carriers cross over easily from the nside to the p-side. Therefore a current from pside to n-side. A resistance is used to limit the strength of current. [1] Soln.: 1) LEDs are used as status indicators on various instruments 2) LEDs are used in traffic control light system 3) LEDs are used as a light source in optical fiber communications 4) They are used as brake indicators in bikes and vehicles [½ mark each] OR 10. State advantages of LEDs [2] Soln.: 1) LEDs are cheap 2) LEDs require low operating voltages and low power 3) They have longer life and light weight 4) They have high operating speed [½ mark each] Section C – (9 Marks) 11. Fig. Q. 8 [Diagram - ½ Mark] Explain the working of a transistor as a switch [3] Soln.: Both PNP or NPN transistor can be made to operate as a switch for controlling TPS Physics Papers with Solution 254 higher power device. For using the transistor as a switch it is to be operated in cut off region or saturation region. The main idea is that, load RL is connected or disconnected from the source VCC by transistor switch without any make or brake of circuit. Also the switch is operated by low base voltage (0.7 V) and requires very low base current (few A). The transistor as switch is used in logic circuits in power electronics. Transistor switches have the advantage of high speed of operation. [1] 12. Fig. Q. 11 [Diagram - 1 Mark] Applying Kirchoff’s voltage law to output part we get, Semiconductor Explain the formation of energy band diagram in case of conductor and semiconductor [3] Soln.: In conductors the valence band is completely filled with electrons and the conduction band is empty but the two bands are overlapped. Forbidden energy gap is zero. [½] VCC = IC RL + VCE VCE = VCC – IC RL When Vi = 0, IB = 0 and hence IC = 0 VCE = VCC source voltage That is when Vi = 0 no current flows through transistor and load RL. Entire voltage develops across transistor (VCE = VCC). This condition is similar to open switch. i.e. IC = 0, V0 = VCC = source voltage When Vi is positive and greater than 0.7 V the base current flows that forces transistor into saturation and large current flows through transistor and load RL. The entire source voltage gets developed across the load RL and very low voltage drops across transistor VCE = 0.2 V. This condition is similar to closed switch IC = VCC RL and V0 = VCE = 0.2 V [1] Fig. Q. 12 [Diagram - ½ Mark] Due to the overlapping of the valence and conduction band no extra energy is required to move the electron from valence band to conduction band. When electric field is applied across such conductors large number of electrons are available for conduction so conductivity is very high for conductors. Example : Mg, Zn etc. [½] In some conductors the valence band may be completely filled and conduction band is partially filled but the energy gap is very small. e.g. Na, K etc. TPS Physics Papers with Solution Semiconductors : 255 Semiconductor Half wave rectifier: The electronic circuit which convert half cycle of a.c. voltage into d.c. voltage is called half wave rectifier. Diagram : Fig. Q. 12(a) [Diagram - ½ Mark] The energy band diagram for semiconductors is shown as in Fig. 12(a). The forbidden energy gap is small as compared to that of insulators (Eg < 3 eV). For germanium energy gap is 0.6 eV and for silicon it is 1.1 eV. Due to small energy gap, some of the valence band electrons make transition to the conduction band by acquiring thermal energy. Those electrons leave an equal number of vacant states or holes in the valence band. [½] At room temperature and higher temperature the electron acquire sufficient thermal energy and jump to the conduction band. But at low temp the electron does not acquire energy so it remains in valence band. At low temp the semiconductors behave as insulators. When electric field is applied across such semiconductors (at room temperature and higher temperature) a few electrons are available in the conduction band. So the conductivity of semiconductors is low. [½] 13. Explain with a neat diagram how a pn junction diode is used as a half wave rectifier [3] Soln.: P-n junction diode: Fig. Q. 13 [Circuit diagram with direction of current - 1 Mark] During every positive half cycle of the a.c. input point A becomes positive w.r.t. point B and diode becomes forward biased. When forward voltage crosses 0.7 volt (for Si diode) the diode works as closed switch and large current Id flows through RL from M to N. This current produces d.c. output voltage V0 = Vdc [½] = Id RL across the load resistance During every negative half cycle of a.c. input the point A becomes negative w.r.t. B and diode gets reverse biased and it works as an open switch. No current flows through the load resistance in negative half cycle and hence no output voltage is obtained. The current always flows from M to N (uni-directional) which produces d.c. voltage with M positive and N negative. Since current flows through RL only for half cycle of applied a.c. it is called half wave TPS Physics Papers with Solution rectifier. The output voltage is uni-directional 256 Semiconductor pulsating and intermittent. [1 ½] Fig. Q. 13(a): Input output waveforms for half wave rectifier OR 13. With the help of neat circuit diagram explain the working of a photodiode. State its any two uses [3] The photo current depends upon intensity of incident radiation and is independent of reverse bias. [1] Soln.: The photodiode is special purpose semiconductor diode. While fabricating, a transparent window is kept to expose its junction to light radiation. Working of photodiode : When light in the form of photons enters the depletion region and when photon energy h > Eg electron hole pairs are generated. Photodiode always operated in reverse bias. These generated electron-holes flow under the reverse bias and current in A flows in the circuit. Fig. Q. 13(b) [Diagram - 1 Mark] Uses : 1. Photo diode are used to detect optical signal. [½] TPS Physics Papers with Solution in object 257 257 2. It is used optocouplers. counters, [½] 3. It is used sensor in remote controlled receivers. 2) Truth table – The table that lists all possible levels on inputs and corresponding output is called truth table. [1] 15. A) Draw a neat circuit diagram to study the characteristics of common emitter n-p-n transistor with the help of a graph explain the output characteristics of this transistor [3] Section D – (10 Marks) 14. A) What are ∝ and β parameters for a transistor ? Obtain a relation between them [3] Soln.: For transistor, the current ratios are defined as – (i) Semiconductor Soln.: Circuit diagram to study transistor characteristic in C.E. mode dc (alpha) : It is defined as the ratio of collector current to emitter current. dc = (ii) IC …(1) IE [½] dc (beta, current gain) : It is defined as the ratio of collector current to base current. dc = IC IB …(2) [½] …(3) [½] We have IE = IB + IC Diagram - 1 Mark (Dividing by IC throughout) IE IC = IB IC +1 [½] 1 1 = +1 dc dc dc = dc = dc 1 + dc dc 1 – dc VBB and VCC – DC supply [½] milliammeter Rh1 and Rh2 along with source provide voltage divider arrangement. Output characteristics : …(4) [½] …(5) B) Define i) logic gate ii) truth table [2] Soln.: 1) IC collector current is measured by logic gate- It is an electronic circuit which has two or more inputs and one output [1] It is a graph of output current versus output voltage. For C – E mode, it is a graph of collector current IC versus collector voltage VCE, for the fixed value of the base current. To study output characteristics IB is kept constant VCE is increased in small steps and IC is recorded at every step. When IC versus VCE is plotted we get output characteristics as shown in diagram. [½] TPS Physics Papers with Solution 258 Semiconductor B) What is Zener diode ? Give its symbol [1] Soln.: Zener diode is a p-n junction diode which works in reverse biased condition. It works in breakdown region Diagram - ½ Mark From output characteristics it is clear that – 1. When IB = 0, IC is nearly zero and we say that the transistor is in cut off region. 2. For VCE < 0.3 V, IC increases with VCE and can be controlled by VCE. 3. When VCE > VBE (0.7 V), CE junction gets reverse biased and IC gets saturated i.e. IC doesn’t depend on VCE but can be controlled by IB and we say that the transistor is in active region. It has large current in this region. 4. When VE < VB > VC both the junctions get forward biased and IC can no longer be controlled by VCE. We say that the transistor is in saturation region. The dynamic output resistance of transistor is given by, ro = VCE I constant C I C The output resistance in this mode varies from few k to 100 k. [1] TPS