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TS EAMCET · Physics · Alternating Current

An inductor and a resistor are connected in series to an ac supply. If the potential differences across the inductor and the resistor are 180 V and 240 V respectively, then the voltage of the ac supply is

  1. A 300 V
  2. B 420 V
  3. C 60 V
  4. D 210 V
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Answer & Solution

Correct Answer

(A) 300 V

Step-by-step Solution

Detailed explanation

\(V_{supply} = \sqrt{V_R^2 + V_L^2}\) \(V_{supply} = \sqrt{(240 \, \text{V})^2 + (180 \, \text{V})^2}\) \(V_{supply} = \sqrt{57600 \, \text{V}^2 + 32400 \, \text{V}^2}\) \(V_{supply} = \sqrt{90000 \, \text{V}^2}\) \(V_{supply} = 300 \, \text{V}\)
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