An LC circuit has a natural frequency of 50 kHz. If the capacitance is doubled and the inductance is halved, the new resonant frequency will be:

There is a 5Ω resistance in an ac, circuit. Inductance of 0.1H is connected with it in series. If equation of ac e.m.f. is 5 sin⁡50t, then the phase difference between current and e.m.f. is

In L – C – R series circuit the resonance condition in terms of capacitive reactance $\left( {{X_C}} \right)$ and inductive reactance $\left( {{X_L}} \right)$ is

The resonant frequency of an LC circuit is doubled when the capacitance is changed to:

In a L – R circuit of 3 mH inductance and 4 Ω resistance emf , $E = 4\cos 1000t\;{\rm{V}}$ is applied. The amplitude of emf is

An inductance of 1 mH a condenser of 10 μF and a resistance of 50 Ω are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be

In an LC circuit, the energy oscillates between the inductor and the capacitor. If a small resistance is introduced in the circuit, which of the following best describes the effect on the oscillations?

An inductor of 2 H and a resistance of 10 Ω are connected in series with a battery of 5 V. the initial rate of change of current is

Same current is flowing in two alternating circuits. The first circuit contains only inductance and the other contains only a capacitor. If the frequency of the emf of AC is increased, the effect on the value of the current

An ac voltage is applied to a resistance R and inductor L in series. If R and the inductive reactance are both equal to 3Ω, the phase difference between the applied voltage and the current in the circuit is

A telephone wire of length 200 km has a capacitance of 0.014 μF per km. If it carries an AC 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?