MCQ
If the phase difference between Alternating Voltage and Alternating Current is $\frac{\pi}{6}$​ and the resistance in the circuit is $\sqrt{300}\Omega,$ then the impedance of the circuit will be.
  • A
    $25\Omega$
  • B
    $50\Omega$
  • C
    $20\Omega$
  • D
    $100\Omega$

Answer

  1. $20\Omega$

Explanation:

$\text{impedance}×\cos\theta = \text{resistance}$

$\text{impedance} = \frac{\text{resistance}}{\cos\theta}$

$=\frac{\sqrt{300}}{\frac{\cos\pi}{6}}$

$20\Omega$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A radioactive nucleus is being produced at a constant rate a per second. Its decay constant is l. If N0 are the number of nuclei at time t = 0, then maximum number of nuclei possible are

(a)  

(b)

(c) N0

(d)

If the half life of a radioactive sample is 10 hours, its mean life is

(a) 14.4 hours

(b) 7.2 hours

(c) 20 hours

(d) 6.93 hours

Boron rods in nuclear reactor are used as a

(a) Moderator

(b) Control rods

(c) Coolants

(d) Protective shield

Two unlike charges of magnitude q are separated by a distance 2d. The potential at a point midway between them is

(a) Zero

(b)  

(c)

(d)

The magnetic field energy in an inductor changes from maximum value to minimum value in 5.0ms when connected to an AC source. The frequency of the source:
  1. 20Hz.
  2. 50Hz.
  3. 200Hz.
  4. 500Hz.

A short-circuited coil is placed in a time-varying magnetic field. Electrical power is dissipated due to the current induced in the coil. If the number of turns were to be quadrupled and the wire radius halved, the electrical power dissipated would be

(a) Halved

(b) The same

(c) Doubled

(d) Quadrupled

Two bulbs are working in parallel order. Bulb A is brighter than bulb B. If  and   are their resistance respectively then

(a)  

(b)  

(c)  

(d) None of these

The breaking stress of a wire depends on:
  1. Material of the wire.
  2. Length of the wire.
  3. Radius of the wire.
  4. Shape of the cross-section.

1A current flows through an infinitely long straight wire. The magnetic field produced at a point 1 metres away from it is

(a)  2   

(b)  

(c)  2 

(d) 2π  

An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience: