Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • The dimension of is same as that of<div class='

The dimension of \mathrm{\sqrt{\frac{L}{C}}} is same as that of

Option: 1

time


Option: 2

velocity


Option: 3

capacitance


Option: 4

resistance  


Answers (1)

best_answer

energy stored in the capacitor is \mathrm{=U_E=(1 / 2) C V^2}

The magnetic energy stored in an inductor\mathrm{=U_B=(1 / 2) \mathrm{Li}^2}

Equating these two dimensionally

\mathrm{\begin{aligned} & \frac{1}{2} C V^2=\frac{1}{2} L i^2 \\ & \Rightarrow \frac{V}{i}=\sqrt{\frac{L}{C}} \Rightarrow R=\sqrt{\frac{L}{C}} \end{aligned}}

Therefore \mathrm{\sqrt{\frac{L}{C}}} is equal to resistance R.

 

 

Posted by

qnaprep

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 2025: Number of qualified candidates doubles in 3 years; state-wise breakup
anam-khan

Another NEET fraud? Dubai Consulate sees NRI certificates for medical admissions double in 3 years
anam-khan

40% in PCB must for OBC, SC, ST; percentage required for NEET 2025 in Class 12

Latest Question