All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GATE Exam  >  GATE Questions  >  A series string of 5 diodes is connected thro... Start Learning for Free
SaveJoin the Discussion on the App
A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V
Clear all your GATE doubts with EduRev
Most Upvoted Answer
A series string of 5 diodes is connected through a resistor R to a 10 ...
Calculating the Required Resistor Value in a Series String of Diodes


Given Information:


  • Number of diodes in series: 5

  • Individual diode voltage drop: 0.7 V

  • Diode characteristic: 0.1 V/decade

  • Supply voltage: 10 V

  • Total voltage drop across diodes required: 4 V



Calculations:


  • Total voltage drop across diodes: 4 V

  • Individual diode voltage drop: 0.7 V

  • Remaining voltage drop required: 4 - (5 x 0.7) = 0.5 V

  • Using the diode characteristic (0.1 V/decade), the current through the diodes can be found using the following formula:

  • I = 10^((Vd - Vf)/(n x Vt))

  • Where:


    • Vd = total voltage drop across diodes (4 V)

    • Vf = individual diode voltage drop (0.7 V)

    • n = number of diodes (5)

    • Vt = thermal voltage (approx. 26 mV at room temperature)


  • Substituting the values:

  • I = 10^((4 - 0.7)/(5 x 0.026)) = 6.63 mA

  • Using Ohm's Law (V = IR), the required resistor value can be found:

  • R = (Vs - Vd)/I

  • Where:


    • Vs = supply voltage (10 V)

    • Vd = total voltage drop across diodes (4 V)

    • I = current through diodes (6.63 mA)


  • Substituting the values:

  • R = (10 - 4)/0.00663 = 903.93 ohms

  • Rounding off to the nearest preferred value (1 kohm): 1 kohm



Conclusion:

The required resistor value to establish a total voltage drop of 4 V across a series string of 5 diodes with a 0.7 V drop and a 0.1 V/decade characteristic connected to a 10 V supply is 1 kohm.
Community Answer
A series string of 5 diodes is connected through a resistor R to a 10 ...
It's should be 3.5k
Explore Courses for GATE exam

Similar GATE Doubts

A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V
Question Description
A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V.
Solutions for A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V defined & explained in the simplest way possible. Besides giving the explanation of A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V, a detailed solution for A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V has been provided alongside types of A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V theory, EduRev gives you an ample number of questions to practice A series string of 5 diodes is connected through a resistor R to a 10 V supply. For diodes having 0.7 V drop at 1 mA and a 0.1 V/decade characteristic, what value of R is required to establish a total voltage drop across all the diodes to be 4 V tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup