Questions in Alternating Current

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If resistance of $100 \Omega$ , inductance of $0.5$ henry and capacitance of $10 \times {10^{ - 6}}F$ are connected in series through 50 Hz ac supply, then impedance is
An alternating current source of frequency $100 Hz$ is joined to a combination of a resistance, a capacitance and a coil in series. The potential difference across the coil, the resistance and the capacitor is $46$, $8$ and $40$ volt respectively. The electromotive force of alternating current source in volt is
A $10$ ohm resistance, $5 mH$ coil and $10 \mu F$ capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is halved, the resonance frequency
L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is
In a series circuit $R = 300 \Omega$, $L = 0.9 H$, $C = 2.0 \mu F$ and $\omega = 1000 rad/sec$. The impedance of the circuit is
In a L-R circuit, the value of $L$ is $\left( {\frac{{0.4}}{\pi }} \right)\;henry$ and the value of $R$ is $30$ ohm. If in the circuit, an alternating e.m.f. of $200$ volt at $50$ cycles per sec is connected, the impedance of the circuit and current will be
The reactance of a coil when used in the domestic ac power supply (220 volt, 50 cycles) is 100 ohm. The self inductance of the coil is nearly
In a series LCR circuit, operated with an ac of angular frequency $\omega $, the total impedance is
The reactance of a $25\,\mu F$ capacitor at the ac frequency of 4000 Hz is
The frequency for which a $5\,\mu F$ capacitor has a reactance of $\frac{1}{{1000}}$ ohm is given by

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