Electro Magnetic Induction And Alternating Currents Question 190
Question: When the rms voltages $ V_{L} $ , $ V_{C} $ and $ V_{R} $ are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio $ V_{L}:V_{C}:V_{R}=1:2:3 $ . If the rms voltage of the AC sources is 100 V, the $ V_{R} $ is close to:
Options:
A) 50V
B) 70V
C) 90V
D) 100V
Show Answer
Answer:
Correct Answer: C
Solution:
-
Given, $ V_{L}:V_{C}:V_{R}=1:2:3 $ $ V=100V,V_{R}=? $
As we know, $ V=\sqrt{V_{R}^{2}+{{(V_{L}-V_{C})}^{2}}} $
Solving we get, $ V_{R}\simeq 90V $
