Damped oscillations are induced in a cirucuit whose quality factor is `Q=50` and natural oscillation frequency is `v_(0)=5.5 kHz`. How soon will the energy stored in the circuit decrease `eta= 2.0 ` times ?

How much ( in per cen ) does the free oscllation frequency omega of a circuit with quality factor Q=5.0 differ from the natural oscillation frequency omega_(0) of that circuit ?

How soon does the current amplitude in an oscillating circuit with quality factor Q=5000 decrease eta = 2.0 times if the oscillation frequency is v=2.2 MHz ?

A source of sinusoidal emf with constant voltage is connected in series with an oscillating circuit with quality factor Q=100 . At a certain frequency of the external voltage the heat power generated in the circuit reached the maximum value. How much ( in per cent ) should this frequency be shifted to decrease the power generated n=2.0 times ?

Find the quality factor of a mathematic pendulum l=50 cm long if during the time interval tau=5.2 min its total mechanical energy decreases eta=4.0.10^(4) times.

Demonstrate thatat low damping the quality factor Q of a circuit maintaining forced oscillations is approximately equal to omega_(0)//Delta omega , where omega_(0) is the natural oscillation frequency , Delta omega is the width of the resonance curve I(omega) at the " height " which is sqrt(2) times less than the resonance current amplitude.

A mathematical pendulum oscillates in a medium for which the logarithmic damping decrement is equal to lambda_(0)=1.50 . What will be the logarithmic damping decrement if the resistance of the medium increases n=2.00 time? How many times has the resistance of the medium to be increased for the oscillations to become impossible?