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 $



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