I have everything except the last question I do not understand. Please explain a

Question

I have everything except the last question I do not understand. Please explain as clear as possible.

You have a resistor of resistance 250 Ohms, an inductor of inductance 0.400 H, a capacitor of capacitance 6.20 micro Farads and a voltage source that has a voltage amplitude of 26.0 V and an angular frequency of 220 rad/s. The resistor, inductor, capacitor, and voltage source are connected to form an L-R-C series circuit.
What is the impedance of the circuit? 692 Ohms
What is the current amplitude? 692 Amperes
What is the phase angle of the source voltage with respect to the current? -68.8 degrees
Does the source voltage lag or lead the current? The voltage lags the current
What is the voltage amplitude across the resistor? 9.39 Volts
What is the voltage amplitude across the inductor? 3.31 Volts
What is the voltage amplitudes across the capacitor? 27.6 Volts


**Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source.

Thanks in advance

Explanation / Answer

Since the voltage across capacitor and inductor are opposite to each other in phase and that of the resistor is perpendicular to both in phase, the Vs holds the following relation,

Vs2=(Vc-Vi)2+Vr2

Clearly, Vc and Vi which are the voltage across capacitor and inductor can be greater than Vs as long as the relation holds.

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