Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 11

Physics

Units and Measurements

Errors of measurement

The current voltage relation of diode is given by I=(e^{1000 V

Question

Medium

Solving time: 3 mins

The current voltage relation of diode is given by $I = (e^{1000 V / T} - 1) mA$ , where the applied voltage $V$ is in volt and the temperature $T$ is in kelvin. If a student makes an error measuring $\pm 0.01 V$ while measuring the current of $5 mA$ at $300 K$ , what will be the error in the value of current in $mA$ ?
(a) $0.2 mA$
(b) $0.02 mA$
(c) $0.5 mA$
(d) $0.05 mA$

Views: 5,823 students

Updated on: Sep 27, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2013

Found 3 tutors discussing this question

Alexander Discussed

The current voltage relation of diode is given by

I = (e^{1000 V / T} - 1) mA

, where the applied voltage

V

is in volt and the temperature

T

is in kelvin. If a student makes an error measuring

\pm 0.01 V

while measuring the current of

5 mA

300 K

, what will be the error in the value of current in

mA

?
(a)

0.2 mA

(b)

0.02 mA

(c)

0.5 mA

(d)

0.05 mA

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Exp. (a)
Given,

I = (e^{1000 V / T} - 1) mA

d V = \pm 0.01 V

T = 300 K

I = 5 mA

I = e^{1000 V / T} - 1

I + 1 = e^{1000 V / T}

Taking log on both sides, we get

lo g (I + 1) = \frac{1000 V}{T}

\Rightarrow \frac{d ( I + 1 )}{I + 1} = \frac{1000}{T} d V

\frac{d l}{I + 1} = \frac{1000}{T} d V

d l = \frac{1000}{T} \times (I + 1) d V

d l = \frac{1000}{300} \times (5 + 1) \times 0.01

= 0.2 mA

So, error in the value of current is

0.2 mA

Was this solution helpful?

Report

Filo tutor solutions (12)

Learn from their 1-to-1 discussion with Filo tutors.

5 mins

Uploaded on: 6/23/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Mohit Bandole

Total classes on Filo by this tutor - 2,506

Teaches : Physics, Mathematics, Biology

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

149

Report

4 mins

Uploaded on: 4/14/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Nischal Kumar

Total classes on Filo by this tutor - 7,993

Teaches : Physics, Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

Report

3 mins

Uploaded on: 1/29/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Piyush Kumar

Total classes on Filo by this tutor - 1,075

Teaches : Physics, Mathematics, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

Report

See more 1-on-1 discussions (9)

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The current voltage relation of diode is given by $I = (e^{1000 V / T} - 1) mA$ , where the applied voltage $V$ is in volt and the temperature $T$ is in kelvin. If a student makes an error measuring $\pm 0.01 V$ while measuring the current of $5 mA$ at $300 K$ , what will be the error in the value of current in $mA$ ? (a) $0.2 mA$ (b) $0.02 mA$ (c) $0.5 mA$ (d) $0.05 mA$
Updated On	Sep 27, 2023
Topic	Units and Measurements
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 12
Upvotes	1359
Avg. Video Duration	6 min

Text solutionVerified

Filo tutor solutions (12)

Questions from JEE Mains 2013 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Units and Measurements in the same exam

Practice more questions from Units and Measurements

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Filo tutor solutions (12)

Questions from JEE Mains 2013 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Units and Measurements in the same exam

Practice more questions from Units and Measurements

Practice questions on similar concepts asked by Filo students

Related books for questions on Units and Measurements

Previous year question papers