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  4. In a LCR series circuit, the potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that across the resistance is 40 V. Then, supply voltage will be equal to

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Q. In a LCR series circuit, the potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that across the resistance is 40 V. Then, supply voltage will be equal to

MGIMS WardhaMGIMS Wardha 2008

Solution:

In LCR series circuit, $ V=\sqrt{V_{R}^{2}+{{({{V}_{L}}-{{V}_{C}})}^{2}}} $ $ =\sqrt{{{(40)}^{2}}+{{(60-30)}^{2}}} $ $ =\sqrt{1600+900}=\sqrt{2500} $ $ =50\text{ }V $