Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to the relation <img alt="\mathrm{\phi=\left(2 t^2+4 t+6\right) m W b}" src="https://

The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to the
relation \mathrm{\phi=\left(2 t^2+4 t+6\right) m W b} . The emf induced in the loop at t = 4 s is: 

Option: 1

0.12 V


Option: 2

2.4 V


Option: 3

0.02 V


Option: 4

1.2 V


Answers (1)

best_answer

\mathrm{Given, \phi=\left(2 \mathrm{t}^2+4 \mathrm{t}+6\right) \mathrm{mWb}}

\mathrm{As, \varepsilon=\frac{\mathrm{d} \phi}{\mathrm{dt}}=\frac{\mathrm{d}}{\mathrm{dt}}\left(2 \mathrm{t}^2+4 \mathrm{t}+6\right) \times 10^{-3} \mathrm{Wbs}^{-1}=(4 \mathrm{t}+4) \times 10^{-3} \mathrm{~V}}

\mathrm{At \; \mathrm{t}=4 \mathrm{~s}}

\mathrm{\varepsilon=(4 \times 4+4)=\times 10^3 \mathrm{~V}=20 \times 10^{-3} \mathrm{~V}=0.02 \mathrm{~V}}

Posted by

Ajit Kumar Dubey

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 Registration LIVE: NTA session 1 applications close on November 27; apply at jeemain.nta.nic.in
anam-khan

JEE 2026: IIT admissions show major shift toward AI, data science, away from core engineering courses
anam-khan

JEE Main 2026: NIT Delhi cut-offs for BTech courses show ever-increasing demands for AI, computer skills

Latest Question