A) \[{{V}_{1}}=100\text{ }V,{{V}_{2}}=100\text{ }V,{{V}_{3}}=100\text{ }V\]
B) \[{{V}_{1}}\text{ }=\text{ }150V,{{V}_{2}}\text{ }=\text{ }zero,\text{ }{{V}_{3}}\text{ }=\text{ }150\text{ }V\]
C) \[{{V}_{1}}=300\text{ }V,{{V}_{2}}=100\text{ }V,{{V}_{3}}=100\text{ }V\]
D) \[{{V}_{1}}=300\text{ }V,\text{ }{{V}_{2}}=300V,{{V}_{3}}=300\text{ }V\]
Correct Answer: D
Solution :
\[\because R={{X}_{L}}={{X}_{C}}\] This is condition of resonance. So of resonance \[{{V}_{R}}={{V}_{L}}={{V}_{C}}\] \[V=\sqrt{V_{R}^{2}+{{({{V}_{L}}-{{V}_{C}})}^{2}}}\] \[300=\sqrt{V{{R}^{2}}}\] \[{{V}_{R}}=300={{V}_{1}}\] \[\therefore \]\[{{V}_{2}}=300\,V\] and \[{{V}_{3}}=300\,V\]
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