LR, RC and LCR Circuits: Practice Problem & Solution
In an LCR series circuit the potential differences across the resistance, capacitance and inductance are \(80\text{ V}\), \(40\text{ V}\) and \(100\text{ V}\) respectively. The power factor of this circuit is:
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of LR, RC and LCR Circuits. Understanding the underlying formula is key to arriving at the correct answer below:
Total voltage in series LCR is \(V = \sqrt{V_R^2 + (V_L - V_C)^2} = \sqrt{80^2 + (100 - 40)^2} = 100\text{ V}\). Power factor is \(\cos\phi = \frac{V_R}{V} = \frac{80}{100} = 0.8\).
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