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GUJCET · Physics · Alternating Current
In a series resonant circuit, the AC voltages across resistance \(R\), inductor \(L\) and capacitor \(C\) are \(5 \mathrm{~V}, 10 \mathrm{~V}\) and 10 V respectively. The AC voltage applied to the circuit will be ____________ .
- A 25 V
- B 20 V
- C 10 V
- D 5 V
Answer & Solution
Correct Answer
(D) 5 V
Step-by-step Solution
Detailed explanation
(D) 5V
\(\quad v^{2}=v_{R}^{2}+\left(v_{C}-v_{L}\right)^{2}\)
\(\therefore v^{2}=(5)^{2}+(10-10)^{2}\)
\(\therefore v^{2}=25\)
\(\therefore \quad v=5 \mathrm{~V}\)
\(\quad v^{2}=v_{R}^{2}+\left(v_{C}-v_{L}\right)^{2}\)
\(\therefore v^{2}=(5)^{2}+(10-10)^{2}\)
\(\therefore v^{2}=25\)
\(\therefore \quad v=5 \mathrm{~V}\)
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