For a scries RLC circuit R 1 ohm L ImH C 10 F Please find t

For a scries RLC circuit: R= 1 ohm; L = ImH; C= 10 F; Please find the actual impedance at the resonant frequency.

Solution

at resonance frequency inductive and capacitive reactances cancell each other. so the series rlc circuit acts as pure resistive circuit and the impedance is equal to resistance of the circuit.

therefore actual impedance Z=1ohm

because Xl and Xc cancell each other