First slide
Electrical Resonance series circuit

 A telephone wire of length 200 km has a capacitance of 0.014 μF per km. If it carries an ac of frequency 5 kHz, what should be the value of an inductor required to be connected in series so that the impedance of the circuit is minimum 


Capacitance of wire
For impedance of the circuit to be minimum XL=XC2πνL=12πνC 
L=14π2ν2C=14(3.14)2×(5×103)2×2.8×106 =0.35×103H=0.35mH

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