0
23kviews
An alternating voltage is given by V = 141.4 sin 314t. Find (i) Frequency (ii) RMS Values (iii) Average Value (iv) Instantaneous value of voltage at t = 3msec.
1 Answer
1
8.6kviews

$V=141.4 \ sin⁡ \ 314 \ t\\[2ex] Frequency \ f=\dfrac{314}2π=50Hz $

$1. \ \ Peak \ \ Value \ V_m=141.4 Volt\\[2ex] $

$RMS \ \ Value \ \ V_rms=\dfrac{V_m}{\sqrt{2}}=100 \ Volt$

$2. \ \ Average \ \ Value \ V_av=0.63 \ ; \ V_m=89 \ Volt$

$3.\ \ v(t)at t=3\ m/sec \\[2ex] $

$v(t)=141.4 \ sin⁡ \ (314\times3\times10^{-3} )=141.4 \ sin⁡(0.942 \ rad)\\[2ex] v(t)=141.4 \ sin⁡ \ (53.97^{\circ})\\[2ex] v(t)=114.36 \ volt $

Please log in to add an answer.