Calculate the wavelength of radio waves radiated out by a circuit consisting of 0.02 `muF` capacitor and `8 muH` inductor in series.

Answer the following questions: An applied voltage signal consists of a superposition of a dc voltage and an ac voltage of high frequency. The circuit consists of an inductor and a capacitor in series. Show that the dc signal will appear across C and the ac signal across L.

Derive the expression for the impedance of an a.c. circuit with an inductor ‘L’, capacitor ‘C’ and a resistor ‘R’ in series. What iscondition of resonance ?

Calculate the wavenumber for radiation of longest wavelength in Balmer series of atomic hydrogen.

Find the natural frequency of a circuit containing inductance of 100 muH and a capacity of 0.01muF . To which wavelength, tis response will be maximum? For how long the oscillatios will continues?

An alternating current of 1.5 mA and angular frequency 300 rads^-1 flows through 10 kohm resistor and a 0.5muF capacitor in series. Find the r.m.s. voltage across the capacitor and impedence of the circuit.

A capacitor of capacitance 6muF is charged by a 6V battery. The charged capacitor is now connected to an indcutor of inductance 2 mH. Find the current I the circuit, when one-third energy stored in the capacitor converts into the energy stored in the inductor.

A capacitor, resistor of 5 ohm and an inductor of 50 mH are in series with an a.c. source marked 100V-50hz. It is found that voltage is in phase with the current. Calculate the capacitance of the capacitor and the impedance of the circuit.

The variation of inductive reactance (X_L) of an inductor with the frequency of the ac sources of 100 V and variable frequency is shown in the figure. When this inductor is used in series with a capacitor of unknown value and a resistor of 10 Omega at 300 s^1 , maximum power dissipation occurs in the circuit. calculate the capacitance of the capacitor.