Two separate series circuits and each contain a capacitor of

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

Two separate series circuits PP and QQ each contain a capacitor of 50 nF50\,\text{nF}. Circuit PP uses a 2.0 mH2.0\,\text{mH} inductor, whereas circuit QQ uses a 0.50 mH0.50\,\text{mH} inductor. (i) Calculate the resonant frequency of each circuit. (ii) Find the ratio fQ:fPf_Q : f_P. (iii) For the circuit that resonates at the higher frequency, determine the wavelength of an electromagnetic wave in air having that frequency (take speed of light =3.0×108 m s−1=3.0\times10^{8}\,\text{m\,s}^{-1}).

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