Questions in Alternating Current

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An e.m.f.$E = 4\cos (1000t)$ volt is applied to an LR-circuit of inductance $3$ mH and resistance $4$ ohms. The amplitude of current in the circuit is
In an ac circuit, a resistance of $R$ ohm is connected in series with an inductance $L$. If phase angle between voltage and current be $45^o$, the value of inductive reactance will be
A coil of inductance $L$ has an inductive reactance of ${X_L}$ in an AC circuit in which the effective current is $I$. The coil is made from a super-conducting material and has no resistance. The rate at which power is dissipated in the coil is
The phase difference between the current and voltage of LCR circuit in series combination at resonance is
In a series resonant circuit, the ac voltage across resistance $R$, inductance $L$ and capacitance $C$ are $5$ V, $10$ V and $10$ V respectively. The ac voltage applied to the circuit will be
When $100$ volt dc is applied across a coil, a current of $1$ amp flows through it. When $100$ volt ac at $50$ cycle${s^{ - 1}}$ is applied to the same coil, only $0.5$ ampere current flows. The impedance of the coil is
The coefficient of induction of a choke coil is $0.1H$ and resistance is $12\,\Omega $. If it is connected to an alternating current source of frequency $60 Hz$, then power factor will be
For series LCR circuit, wrong statement is
In a purely resistive ac circuit, the current
If an $8\,\Omega $ resistance and $6\,\Omega $ reactance are present in an ac series circuit then the impedance of the circuit will be

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