Physics Alternating Current

The angular frequency of alternating current in a L-C- R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

An LCR circuit contains resistance of 110 $\Omega$ and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45°. If on the other hand, only inductor is removed the current leads by 45° with the applied voltage. The rms current flowing in the circuit will be

A $10\mu F$ capacitor is connected to a $210 V,50 Hz$ source as shown in figure. The peak current in the circuit is nearly ( $\pi =3.14$  ):

In an ideal transformer, the turns ratio is $\frac{N_P}{N_S}=\frac{1}{2}$ . The ratio $V_S:V_P$  is equal to (the symbols carry their usual meaning) :

The effective current I in the given circuit at very high frequencies will be _________A.

In a series LR circuit X_L = R and power factor of the circuit is P₁. When capacitor with capacitance C such that X_L = X_C is put in series, the power factor becomes P₂. The ratio $\frac{P_1}{P_2}$  is

In a circuit consisting of a capacitance and a generator with alternating emf E_g = $E_{g_0}$ sin $\omega t$ , V_C and I_C are the voltage and current. Correct phase diagram for such circuit is:

AC voltage V(t) = 20sin $\omega t$  of frequency 50Hz is applied to a parallel plate capacitor. The separation between the plates is 2mm and the area is 1m². The amplitude of the oscillating displacement current for the applied Ac voltage is__________.

[Take  ${\epsilon }_0=8.85*10^{-12}F/m]$

A series LCR circuit of R = $5\Omega ,$  L = 20mH and C = 0.5 $\mu F$  is connected across an AC supply of 250 V, having variable frequency. The power dissipated at resonance condition is__________* 10² W.