If the phase difference between Alternating Voltage and Alternati… - Vidyadip

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
$50\Omega$
✓
$20\Omega$
D
$100\Omega$

✓

Answer

Correct option: C.

$20\Omega$

$\text{impedance}×\cos\theta = \text{resistance}$
$\text{impedance} = \frac{\text{resistance}}{\cos\theta}$
$=\frac{\sqrt{300}}{\frac{\cos\pi}{6}}$
$20\Omega$

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

Explore more

More "M.C.Q (1 Marks)" from Alternating Current→Alternating Current — all question types→Physics STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

A step index fibre has a relative refractive index of 0.88%. What is the critical angle at the corecladding interface

Two particles $X $ and $Y$, of equal mass and with unequal positive charges, are free to move and are initially far away from each other. With $Y$ at rest, $X$ begins to move towards it with initial velocity $u$. After a long time, finally

Generally semiconductor can be used safely between the temperatures:

A count rate meter shows a count of 240 per minute from a given radioactive source. One hour later the meter shows a count rate of 30 per minute. The half-life of the source is

A uniform but time-varying magnetic field $B(t)$ exists in a circular region of radius $a$ and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point $P$ at a distance $r$ from the centre of the circular region

A charge is spread non-uniformly on the surface of a hollow sphere of radius $R$, such that the charge density is given by $\sigma=\sigma_0(1-\sin \theta)$, where $\theta$ is the usual polar angle. The potential at the centre of the sphere is

If the voltage of $X-$ ray tube is doubled, the intensity of $ X-$ rays will become

A proton enters a magnetic field of flux density $1.5\,weber/{m^2}$ with a velocity of $2 \times {10^7}\,m/\sec $ at an angle of $30^\circ $ with the field. The force on the proton will be

An AM wave has 1800 watt of total power content, For 100% modulation the carrier should have power content equal to

The electric field for a plane electromagnetic wave travelling in the $+y$ direction is shown. Consider a point where $\vec E$ is in $+z$ direction. The $\vec B$ field is