In 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

CONCEPT:

• 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