Question
Download Solution PDFIn the given circuit the reading of voltmeter V1 and V2 are 300 volts each. The reading of the voltmeter V3 and ammeter A are respectively
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- The ac circuit containing the capacitor, resistor, and the inductor is called an LCR circuit.
- For a series LCR circuit, the total potential difference of the circuit is given by:
\(V = \sqrt {{V_R^2} + {{\left( {{V_L} - {V_C}} \right)}^2}} \)
Where VR = potential difference across R, VL = potential difference across L and VC = potential difference across C
- For a series LCR circuit, Impedance (Z) of the circuit is given by:
\(\)\(Z = \sqrt {{R^2} + {{\left( {{X_L} - {X_C}} \right)}^2}} \)
Where R = resistance, XL =induvtive reactance and XC = capacitive reactive
CALCULATION:
Given - V1 = V2 = 300V and V = 220V
- For a series LCR circuit, the total potential difference of the circuit is given by:
\(⇒ V = \sqrt {{V_3^2} + {{\left( {{V_1} - {V_2}} \right)}^2}} \)
\(⇒ 220 = \sqrt {{V_3^2} + {{\left( {{300} - {300}} \right)}^2}} =\sqrt {V^2_3}=V_3\)
⇒ V3 = 220V
- The reading on the ammeter will be
\(⇒ I=\frac{V_3}{R}=\frac{220}{100}=2.2A\)
- The reading on the voltmeter V3 will be
⇒ V3 = IR
⇒ V3 = 2.2 × 100 = 220 V
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