$(a)$ The peak voltage of an $ac$ supply is $300 \; V$. What is the $rms$ voltage?
$(b)$ The $rms$ value of current in an $ac$ circuit is $10 \; A$. What is the peak current?
$(b)$ The $rms$ value of current in an $ac$ circuit is $10 \; A$. What is the peak current?
(N/A) Given,peak voltage $V_{0} = 300 \; V$.
The $rms$ voltage is given by the relation $V_{rms} = \frac{V_{0}}{\sqrt{2}}$.
Substituting the values: $V_{rms} = \frac{300}{1.414} \approx 212.1 \; V$.
$(b)$ Given,$rms$ current $I_{rms} = 10 \; A$.
The peak current $I_{0}$ is given by the relation $I_{0} = \sqrt{2} \times I_{rms}$.
Substituting the values: $I_{0} = 1.414 \times 10 = 14.14 \; A$.
The $rms$ voltage is given by the relation $V_{rms} = \frac{V_{0}}{\sqrt{2}}$.
Substituting the values: $V_{rms} = \frac{300}{1.414} \approx 212.1 \; V$.
$(b)$ Given,$rms$ current $I_{rms} = 10 \; A$.
The peak current $I_{0}$ is given by the relation $I_{0} = \sqrt{2} \times I_{rms}$.
Substituting the values: $I_{0} = 1.414 \times 10 = 14.14 \; A$.
Explore More
Similar Questions
$A$ complex current wave is given by $i = 5 + 5 \sin(100 \omega t) \text{ A}$. Its average value over one time period is given as......$\text{A}$
Medium
View SolutionAn alternating e.m.f. is given by $e = e_{0} \sin(\omega t)$. In what time will the e.m.f. reach half its maximum value,if $e$ starts from zero? ($T$ = Time period)
DifficultMHT CET 2020
View SolutionIn India,$AC$ voltage becomes zero how many times in $1$ $sec$?
Medium
View SolutionIn an $AC$ circuit,when an $AC$ ammeter is connected,it reads $i$ current. If a student uses a $DC$ ammeter in place of the $AC$ ammeter,the reading in the $DC$ ammeter will be:
Easy
View SolutionAn alternating current in a circuit is given by $I = 20 \sin (100 \pi t + 0.05 \pi) \ A$. The r.m.s. value and the frequency of the current respectively are:
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo