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°, the value of inductive reactance will be

(1) $\frac{R}{4}$

(2) $\frac{R}{2}$

(3) *R*

(4) Cannot be found with the given data

Concept Questions :-

Different types of AC Circuits

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The phase difference between the current and voltage of *LCR* circuit in series combination at resonance is

(1) 0

(2) π/2

(3) π

(4) –π

Concept Questions :-

LC oscillations

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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

(1) 20 *V*

(2) 10 *V*

(3) 5 *V*

(4) 25 *V*

Concept Questions :-

LC oscillations

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In a series *LCR* circuit, resistance *R *= 10*Ω* and the impedance *Z *= 20*Ω*. The phase difference between the current and the voltage is

(1) 30°

(2) 45°

(3) 60°

(4) 90°

Concept Questions :-

Different types of AC Circuits

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In the circuit shown below, the ac source has voltage $V=20\mathrm{cos}\left(\omega t\right)$ volts with *ω* = 2000 *rad/sec*. the amplitude of the current will be nearest to

(1) 2*A*

(2) 3.3* A*

(3) $2/\sqrt{5}A$

(4) $\sqrt{5}A$

Concept Questions :-

Different types of AC Circuits

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In an ac circuit the reactance of a coil is $\sqrt{3}$ times its resistance, the phase difference between the voltage across the coil to the current through the coil will be

(1) *π*/3

(2) *π*/2

(3) *π*/4

(4) *π*/6

Concept Questions :-

Different types of AC Circuits

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The capacity of a pure capacitor is 1 *farad*. In dc circuits, its effective resistance will be

(1) Zero

(2) Infinite

(3) 1 *ohm*

(4) 1/2 *ohm*

Concept Questions :-

Different types of AC Circuits

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The power factor of an ac circuit having resistance (*R*) and inductance (*L*) connected in series and an angular velocity *ω* is

(1) $R/\omega L$

(2) $R/{({R}^{2}+{\omega}^{2}{L}^{2})}^{1/2}$

(3) $\omega L/R$

(4) $R/{({R}^{2}-{\omega}^{2}{L}^{2})}^{1/2}$

Concept Questions :-

Different types of AC Circuits

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An inductor of inductance *L* and resistor of resistance *R* are joined in series and connected by a source of frequency *ω*. The power dissipated in the circuit is :

(1) $\frac{({R}^{2}+{\omega}^{2}{L}^{2})}{V}$

(2) $\frac{{V}^{2}R}{({R}^{2}+{\omega}^{2}{L}^{2})}$

(3) $\frac{V}{({R}^{2}+{\omega}^{2}{L}^{2})}$

(4) $\frac{\sqrt{{R}^{2}+{\omega}^{2}{L}^{2}}}{{V}^{2}}$

Concept Questions :-

Different types of AC Circuits

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In a *LCR* circuit the pd between the terminals of the inductance is 60 *V*, between the terminals of the capacitor is 30*V* and that between the terminals of resistance is 40*V*. the supply voltage will be equal to ……** **

(1) 50 *V*

(2) 70 *V*

(3) 130 *V*

(4) 10 *V *

Concept Questions :-

Different types of AC Circuits

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Difficulty Level: