When the rms voltages VL , VC and VR 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 VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:

Question:

When the rms voltages $\mathrm{V}_{\mathrm{L}}, \mathrm{V}_{\mathrm{C}}$ and $\mathrm{V}_{\mathrm{R}}$ are measured respectively across the inductor $\mathrm{L}$, the capacitor $\mathrm{C}$ and the resistor $R$ in a series $L C R$ circuit connected to an $A C$ source, it is found that the ratio $\mathrm{V}_{\mathrm{L}}: \mathrm{V}_{\mathrm{C}}: \mathrm{V}_{\mathrm{R}}=1: 2: 3$. If the rms voltage of the AC sources is $100 \mathrm{~V}$, the $\mathrm{V}_{\mathrm{R}}$ is close to:

  1. $50 \mathrm{~V}$

  2. $70 \mathrm{~V}$

  3. $90 \mathrm{~V}$

  4. $100 \mathrm{~V}$


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Physics Alternating Current chapter.
JEE Main Previous Year Online April 9, 2014

Solution:

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