Question #142419

An RLC series circuit has R = 100 ohms, C = 25 µF, and L = 0.16 H. For what angular

frequency of an ac voltage is the current flow maximum?

frequency of an ac voltage is the current flow maximum?

Expert's answer

In an RLC series circuit for maximum current to flow through the circuit. The capacitive reactance"(X_C)" should be equal to the inductive reactance "(X_L)" . This condition is called the Resonance.

Therefore we have,

"X_L = X_C"

"L\\omega = \\frac{1}{C\\omega}"

"\\space\\space\\space\\space \\space\\space \\omega^2 = \\frac{1}{LC}"

"\\omega= \\frac{1}{25\\times10^{-6}\\times0.16}"

"\\omega=500\\space rad\/sec"

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