n an LCR series circuit, if V is the effective value of the applied voltage VR is the voltage across R VL is the effective voltage across L & Vc is the effective voltage across C then_______________?
Correct answer: C. V2 = VR2+(VL-VC)2
- A. IA. V = VR+VL+VC
- B. V2 = VR2+VL2+VC2
- C. V2 = VR2+(VL-VC)2
- D. V2 = VL2+(VR-VC)2
Explanation
In a series LCR circuit, VR is in phase with the current, while VL and VC are 90° from it and opposite to each other. Therefore the effective supply voltage satisfies V² = VR² + (VL - VC)², with every voltage measured in volts. Students may choose a by adding all voltage magnitudes directly and ignoring their phase relationships.
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About AC Through Resistor, Capacitor and Inductor
Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.
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