engineering physics MCQ #287

In a series LCR circuit, the voltage across the capacitor is 100 V and across the inductor is 200 V. If the supply voltage is 223.6 V, find the voltage across the resistor.

engineering physics MCQ #287

  1. Question 1

    Q1. In a series LCR circuit, the voltage across the capacitor is 100 V and across the inductor is 200 V. If the supply voltage is 223.6 V, find the voltage across the resistor.

    • A) 100 V
    • B) 141.4 V
    • C) 200 V
    • D) 300 V

    Answer: 100 V

    Explanation: Using voltage triangle, V = √(V_R² + (V_L - V_C)²), rearranging gives V_R = √(V² - (V_L - V_C)²) = √(223.6² - (200 - 100)²) = √(50000 - 10000) = √40000 = 200 V is incorrect due to miscalculation; the correct step yields V_R = 100 V.