Alternating Cur...

A pure inductor $$I$$, a cpacitory $$C$$ and a resistance $$R$$ are connected across a battery of emf $$E$$ and internal resistance $$r$$ as shown in figure. Switch $${S}_{w}$$ is closed at $$t=0$$, select the correct alternative(s).

An $$LCR$$ series circuit with $$R=100\Omega$$ is connected to a $$200\ V,50\ Hz$$ a.c source. When only the capacitance is removed, the current leads the voltage by $$60^{o}$$. When only the inductance is removed, the current leads the voltage by $$60^{o}$$. The current in the circuit is :

A condenser of capacity $$ 20 \mu F$$ is first charged and then discharged through a $$10 mH $$ inductance. Neglecting the resistance of the coil, the frequency of the resulting vibrations will be

In an LCR circuit, the resonating frequency is $$500$$ $$kH_z$$. If the value of $$L$$ is doubled and value of $$C$$ is decreased to $$\cfrac{1}{8}$$ times of its initial values, then the new resonating frequency in $$kH_z$$ will be

A $$0.21 - H $$ inductor and a $$88- \Omega $$ resistor are connected in series to a $$220-V , 50-Hz $$ AC source. The current in the circuit and the phase angle between the current and the source voltage are respectively. Use $$ \pi = 22/7 $$

A coil has resistance $$30 \ ohm $$ and inductive reactance $$ 20 \ ohm$$ at 50 Hz frequency. If an ac source of 200 V,100 Hz is connected across the coil, the current in the coil will be

In L-C oscillation if frequency of oscillation of charge is $$f$$, then frequency of oscillation of magnetic energy is

An inductor of inductance $$2.0$$ $$H$$ and a resistor of resistance $$10$$ $$\Omega $$ are connected senes to a battery of EMF $$20$$ $$V$$ in a circuit as shown.The key $${ K }_{ 1 }$$ been kept closed for a long time. Then at $$t$$ = $$0$$ , $${ K }_{ 1 }$$i s opened and key $${ K }_{ 2 }$$ is closed simultaneously, The rate of decrease of current in the circuit at $$t$$ = $$1.0 s$$ wili be ($${ e }^{ 5 }$$ = $$150$$)

A capacitor of capacitance $$C$$ has initial charge $${ Q }_{ 0 }$$ and connected to an inductor of inductance $$L$$ as shown. At $$t=0$$ switch $$S$$ is closed. The current through the inductor when energy in the capacitor is three tirnes the energy of inductor is 

For the circuit shown in the figure the current through the inductor is $$1.6\ A$$ , while the current through the condenser is $$0.4\ A,$$ then the current $$l$$ drawn from the source is :