KCET · Physics · Alternating Current
The value of alternating emf in the given circuit will be

- A \(220 \mathrm{~V}\)
- B \(140 \mathrm{~V}\)
- C \(100 \mathrm{~V}\)
- D \(20 \mathrm{~V}\)
Answer & Solution
Correct Answer
(C) \(100 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
For series
\(\mathrm{V}=\sqrt{\mathrm{V}_{\mathrm{R}}^{2}+\left(\mathrm{V}_{\mathrm{L}}-\mathrm{V}_{\mathrm{C}}\right)^{2}}\)
\(\begin{aligned}&~~=\sqrt{(80)^{2}+(40-100)^{2}} \\&~~=100 \mathrm{~V}\end{aligned}\)
\(\mathrm{V}=\sqrt{\mathrm{V}_{\mathrm{R}}^{2}+\left(\mathrm{V}_{\mathrm{L}}-\mathrm{V}_{\mathrm{C}}\right)^{2}}\)
\(\begin{aligned}&~~=\sqrt{(80)^{2}+(40-100)^{2}} \\&~~=100 \mathrm{~V}\end{aligned}\)
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