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The reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
When current passes through an inductor a magnetic field is produced and the collapsing magnetic field produced by the inductor charges the capacitor. This process repeats itself causing the electrical energy to oscillate between magnetic and electric field. Because of this oscillation, at resonance, voltage across the inductor and capacitor can be greater than the input voltage.
For a RLC circuit,
[tex]V_{s}[/tex] = [tex]\sqrt[]{V_{R}^{2} + (V_{L} - V_{C})^{2} }[/tex]
where,
[tex]V_{R}[/tex] = Voltage across the Resistor
[tex]V_{L}[/tex] = Voltage across the inductor
[tex]V_{C}[/tex] = Voltage across the capacitor
At resonance,
[tex]V_{L}[/tex] = [tex]V_{C}[/tex]
Therefore, the reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
To know more about RLC circuits
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