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EENG 270 HW2: Diodes and Voltage Drops, Assignments of Electronics

The solutions to homework problem 2 in EENG 270, focusing on the practical application of diodes and voltage drops. It includes calculations for voltage and current, as well as the analysis of zener diodes and capacitance.

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Uploaded on 12/14/2021

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EENG 270
10/25/21
HW2
Carlyn Annunziata
Q1:
a)Practical model, ๐‘‰๐ท drop across each diode in series:
๐‘‰๐ท = ๐‘‰
๐‘œ = 3๐‘‰๐ท = 2.1V
b)
๐‘–๐ท
= 5๐‘‰โˆ’2.1๐‘‰
2.5๐‘˜ฮฉ = 1.16mA;
in series, current is the same across all diodes.
c)For ๐‘‰
๐‘œ= 2.61V:
๐‘‰๐‘… = ๐‘‰
1โˆ’ ๐‘‰๐ท= 2.39V,
where ๐‘‰๐‘‘ is the voltage drop across one diode,
๐‘‰๐‘‘=
2.39๐‘‰
3= 0.8V .
For ๐‘ƒ๐‘… = 0.25W:
๐‘ƒ๐‘… = 0.25W = ๐‘‰๐‘…2
๐‘… = (2.39๐‘‰)2
๐‘… ,
Solving for R:
๐‘…= (2.39๐‘‰)2
0.25๐‘Š = 22.84ฮฉ.
For ๐‘ƒ๐ท = 0.125W:
๐‘ƒ๐ท =0.125W= ๐‘–๐‘‘๐‘‰๐‘‘
Solving for ๐‘‰๐‘‘:
๐‘‰๐‘‘= (0.00116)(0.125W)= 0.145mV.
Yes, diodes and resistor can survive.
Q2:
a)๐ท1 is 5.1V Zener diode in Reverse bias and regular diode in Forward bias. ๐ท2 is a PN junction
diode, 0.7V when forward bias and OFF when Reverse bias. In the condition when both diodes are
ON, there is a contradiction. When both ON, the ๐‘‰
๐‘œ for analysis of ๐ท1 is 5.1V, and for ๐ท2, ๐‘‰
๐‘œ is 0.7V.
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EENG 270

HW

Carlyn Annunziata Q1: a)Practical model, ๐‘‰๐ท drop across each diode in series: ๐‘‰๐ท = ๐‘‰๐‘œ = 3๐‘‰๐ท = 2.1V b) ๐‘–๐ท = 5 ๐‘‰โˆ’ 2. 1 ๐‘‰

  1. 5 ๐‘˜ฮฉ = 1.16mA; in series, current is the same across all diodes. c)For ๐‘‰๐‘œ= 2.61V: ๐‘‰๐‘… = ๐‘‰ 1 โˆ’ ๐‘‰๐ท= 2.39V, where ๐‘‰๐‘‘ is the voltage drop across one diode, ๐‘‰๐‘‘=
  2. 39 ๐‘‰ 3 = 0.8V^. For ๐‘ƒ๐‘… = 0.25W: ๐‘ƒ๐‘… = 0.25W = ๐‘‰๐‘…^2 ๐‘… =^ ( 2. 39 ๐‘‰)^2 ๐‘… , Solving for R: ๐‘…= ( 2. 39 ๐‘‰)^2
  3. 25 ๐‘Š

For ๐‘ƒ๐ท = 0.125W: ๐‘ƒ๐ท =0.125W= ๐‘–๐‘‘๐‘‰๐‘‘ Solving for ๐‘‰๐‘‘: ๐‘‰๐‘‘= (0.00116)(0. 125 W)= 0.145mV. Yes, diodes and resistor can survive. Q2: a)๐ท 1 is 5 .1V Zener diode in Reverse bias and regular diode in Forward bias. ๐ท 2 is a PN junction diode, 0.7V when forward bias and OFF when Reverse bias. In the condition when both diodes are ON, there is a contradiction. When both ON, the ๐‘‰๐‘œ for analysis of ๐ท 1 is 5.1V, and for ๐ท 2 , ๐‘‰๐‘œ is 0.7V.

If Zener diode is ON, and ๐ท 2 is OFF: Cathode side is 10V and anode side is 5.1V. Then: ๐‘‰๐ท = 10V-5.1V= 4.9V, Which is less than the cut-in voltage required. Current flowing to the Zener diode is 0mA. When ๐ท 2 ON and Zener diode, ๐ท 1 , is OFF: ๐‘‰๐‘œ = 0.7V The current through the PN junction diode is: ๐‘–๐‘‘ = ๐‘‰๐‘ โˆ’๐‘‰ 0 ๐‘…

10 ๐‘‰โˆ’ 0. 7 ๐‘‰ 1 ๐‘˜ฮฉ = 9 .3mA. b)In Figure 2.2, when both ๐ท 1 and ๐ท 2 are ON, by voltage division: ๐‘‰๐‘œ = ๐‘… 2 ๐‘… 1 +๐‘… 2 (๐‘‰๐‘ )^ =^ 6.5V. For the case when both ๐ท 1 and ๐ท 2 are OFF, the diodes act as an open circuit: ๐‘‰๐‘œ = 10V, ๐‘–๐‘‘ 1 = ๐‘–๐‘‘ 2 =0mA. ๐‘– = 10 ๐‘‰

  1. 1 ๐‘˜ฮฉ = 0.99mA. For ๐‘‰๐ท 1 : ๐‘‰๐ท 1 = ๐‘–๐‘… 1 =0.99mA(.1kฮฉ) = 0.099V, Which is sufficient, and this diode is OFF. For ๐‘‰๐ท 2 : ๐‘‰๐ท 2 = ๐‘–๐‘… 1 =0.99mA( 5 kฮฉ) = 4. 95 V Which is insufficient cut-in voltage for the Zener diode. The diode, ๐ท 2 , is also OFF. Q3.1&3.2:

For the half wave rectified circuit, the secondary output voltrage is found from the expression: ๐‘ 2 ๐‘ 1 =^ ๐‘‰๐‘† 2 ๐‘‰๐‘† 1 , Where N 1 :N 2 is given to be 10:1, and ๐‘‰๐‘† 1 is 170V. Solving for VS 2 : ๐‘‰๐‘† 2 = 17V, The peak to peak output voltage is given by the expression: ๐‘‰๐‘œ๐‘ƒ = ๐‘‰๐‘† 2 - (๐‘ฃ๐ท)= 17V-0.7V = 16.3V, With diode of 0.7V on for each half wave. ๐ผ๐‘ = ๐‘‰๐‘œ๐‘ƒ ๐‘… =^

  1. 3 ๐‘‰ 1 ๐‘˜ฮฉ = 16.3mA. Using peak resistor current, given to be 7mA, the minimum resistor voltage: ๐‘‰๐‘…๐‘š๐‘–๐‘› = (7mA)(1kฮฉ) = 7V, Ripple voltage, ๐‘‰๐‘Ÿ, is: ๐‘‰๐‘Ÿ = 16.3V-7V = 9.3V, From this, the capactitance is found using the approximated form for ripple voltage in the half wave rectified case: ๐‘‰๐‘Ÿ = ๐‘‰๐‘œ๐‘ƒ๐‘‡ ๐‘…๐ถ

Where T = 1/f. Solving for capacitance: C = 2 9 ๐œ‡F.

0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 A B C D E F G V 5V D 1N

0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 A B C D E F G V 10V R 1kฮฉ D D 1N4733A

EENG 270 HW 2 q2.

Printing Time:Tuesday, October 26, 2021, 3:24:18 PM

DC Operating Point Analysis

Variable Operating point value 1 2 I(D2[ID]) 9.28726 m V(vout) 712.74144 m

EENG HW2 q2 b

Printing Time:Tuesday, October 26, 2021, 4:13:12 PM

DC Operating Point Analysis

Variable Operating point value 1 2 V(vo)

I(R1) 990.09902 u

DC Operating Point Analysis

Variable Operating point value 1 2 V(vd2)

I(R2) 990.09901 u

0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 A^ A B^ B C^ C D^ D E^ E F^ F G G D 1N R120k ฮฉ C110.7ฮผF Vout V118Vpk50Hz0ยฐ XSC A^ B Ext Trig

_ _^ +^ _

0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 A^ A B^ B C^ C D^ D E^ E F^ F G G D 1N R11k ฮฉ C129ฮผF Vout V117Vpk60Hz0ยฐ XSC A^ B Ext Trig

_ _^ +^ _