Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • The charge flowing through a resistance R varies with time t as Q = at - bt2, where a and b are positive constants. The total heat produced in R is:<stro

The charge flowing through a resistance R varies with time t as Q = at - bt2, where a and b are positive constants. The total heat produced in R is:

Option: 1

\frac{a^{3}\text{R}}{6\text{b}}


Option: 2

\frac{a^{3}\text{R}}{3\text{b}}


Option: 3

\frac{a^{3}\text{R}}{2\text{b}}


Option: 4

\frac{a^{3}\text{R}}{\text{b}}


Answers (1)

best_answer

Q=at- bt^2\\ I=dQ/dt=a-2bt
I=0 \ for \ t=t_0=\frac{a}{2b}   i.e, current flows from t=0→t=t0
the heat produced is        \int_{0}^{t_0} i^2Rdt = \frac{a^3R}{6b}   

Posted by

chirag

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET, JEE, CUET: NTA invites schools, colleges to set up exam centres; CBT facilities need 285 workstations
anam-khan

NEET, JEE Main, CUET Exams: NTA invites serving, retired officials 'to work as observers'
anam-khan

NEET UG 2026 Special Stray Round: Only 537 MBBS allotments recorded against 946 vacancies

Latest Question