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  • In a LCR ac circuit, potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that between the terminals of resistance is 40 V. The s

In a LCR ac circuit, potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that between the terminals of resistance is 40 V. The supply voltage will be:

Option: 1

25 V


Option: 2

50 V


Option: 3

100 V


Option: 4

200 V


Answers (1)

best_answer

Here,\mathrm{\mathrm{V}_{\mathrm{L}}=60 \mathrm{~V}, \mathrm{~V}_{\mathrm{C}}=30 \mathrm{~V}, \mathrm{~V}_{\mathrm{R}}=40 \mathrm{~V} }
The supply voltage of the series LCR circuit is 
\mathrm{V=\sqrt{V_R^2+\left(V_L-V_C\right)^2}=\sqrt{(40 \mathrm{~V})^2+(60 \mathrm{~V}-30 \mathrm{~V})^2} }
\mathrm{=\sqrt{(2500 \mathrm{~V})^2}=50 \mathrm{~V} }

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Gunjita

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