Examoogle
ExamsTest SeriesCBATRank CheckPrevious Year PapersPassBook StoreMy BooksAI Tutor
ЁЯЫТ0
рдЕA
Examoogle

India's most trusted platform for competitive exam PDF books. Expert-authored, watermark-protected, instant access.

Exams & Practice
All Exams & SyllabusMock Test SeriesPrevious Year PapersPractice Questions (MCQs)Recruitment Notifications
Quick Links
Examoogle AI TutorExam NewsBook StoreMy BooksLogin / Sign Up
Support
About UsRefund PolicyPrivacy PolicyTerms of UseContact Us
┬й 2026 Examoogle. India's #1 competitive exam AI tutor.
ЁЯФТ SSL SecuredЁЯУ▒ UPI AcceptedЁЯз╛ GST Invoice
Examoogle

Join 60,000+ competitive exam aspirants

or with email
By continuing, you agree to ourTerms of Service&Privacy Policy
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Back to Practice Questions
ElectricalBasic Electrical
PrevNext

Which of the following statements are true with regard to resistance?

A

Resistance is directly proportional to a length of the wire

B

Resistance is directly proportional to an area of cross-section of the wire

C

Resistance is inversely proportional to the length of the wire

D

Resistance is inversely proportional to the resistivity of the wire

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option A

Resistance is directly proportional to a length of the wire

Quick Summary:

The electrical resistance RRR of a uniform conductor is directly proportional to its length lll and inversely proportional to its cross-sectional area AAA. This relationship is defined by the formula R=╧БlAR = \rho \frac{l}{A}R=╧БAlтАЛ, where ╧Б\rho╧Б is the resistivity of the material.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The electrical resistance RRR of a uniform conductor is directly proportional to its length lll and inversely proportional to its cross-sectional area AAA. This relationship is defined by the formula R=╧БlAR = \rho \frac{l}{A}R=╧БAlтАЛ, where ╧Б\rho╧Б is the resistivity of the material.

ЁЯФв Key Formulas

R=╧БlAR = \rho \frac{l}{A}R=╧БAlтАЛ тАФ Resistance formula where ╧Б\rho╧Б is resistivity, lll is length, and AAA is area.

╧Г=1╧Б\sigma = \frac{1}{\rho}╧Г=╧Б1тАЛ тАФ Conductivity is the reciprocal of resistivity.

тЪЩя╕П Working Principle

As the length of a wire increases, the number of electron collisions with ions in the crystal lattice increases, leading to higher resistance. Conversely, increasing the cross-sectional area provides more paths for charge carriers, thereby reducing the effective resistance of the material.

ЁЯУМ Key Points
  • тЦ╕

    Resistance increases linearly with length (RтИЭlR \propto lRтИЭl).

  • тЦ╕

    Resistance decreases as cross-sectional area increases (RтИЭ1AR \propto \frac{1}{A}RтИЭA1тАЛ).

  • тЦ╕

    Resistivity (╧Б\rho╧Б) is a property of the material and does not change with geometry.

тЬЕ Advantages
  • тЦ╕

    Predictable circuit behavior

  • тЦ╕

    Uniform current distribution in homogeneous materials

тЭМ Disadvantages / Limitations
  • тЦ╕

    Resistance changes with temperature (╬▒\alpha╬▒ coefficient)

  • тЦ╕

    Skin effect at high frequencies reduces effective cross-sectional area

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Resistor manufacturing

  • тЦ╕

    Power transmission lines design

ЁЯУД Additional Information
  • тЦ╕

    Option B is incorrect because RтИЭ1AR \propto \frac{1}{A}RтИЭA1тАЛ.

  • тЦ╕

    Option C is incorrect because RRR is directly, not inversely, proportional to length.

  • тЦ╕

    Option D is incorrect because RRR is directly proportional to resistivity (╧Б\rho╧Б).

ЁЯУК Diagram / Illustration
Resistance FormulaR = ╧Б ┬╖ lA
тЬЕ

A is correct тАФ Resistance is directly proportional to the length of the wire, consistent with the fundamental relation R=╧БlAR = \rho \frac{l}{A}R=╧БAlтАЛ.

Core Concepts Used
Click any tag to open in AI Tutor
Ohm's Law Electrical Resistivity Conductor Geometry
ЁЯТб EXAM TIP

Always remember the mnemonic 'Longer wires have more resistance, fatter wires have less resistance' for quick analysis in DC circuit problems.

Related Questions

ElectricalBasic Electrical
Batteries are charged by
ElectricalBasic Electrical
48 ampere-hour capacity would deliver a current of
ElectricalBasic Electrical
The lead-acid cell should never be discharged beyond
ElectricalBasic Electrical
In a lead-acid cell, lead is called as
ElectricalBasic Electrical
Undercharging of chemical batteries

Discussion (0)

Loading discussion...
PrevNext