The instantaneous voltage through a device of impedence 20 is e=8… - Vidyadip

Question

The instantaneous voltage through a device of impedence $20\Omega$ is $\text{e}=80\sin100\pi\text{t}.$ The effective value of the current is.

✓

Answer

Given equation, $\text{e}=80\sin100\pi\text{t}.(\text{i})$
Standard equation of instantaneous voltage given by $E = \text{e}_\text{m}\sin(\omega\text{t})......(\text{i})$
Compare $(i)$ and $(ii),$ we get $e_m = 80V$
where $e_m$ is the voltage amplitude.
Current amplitude $\text{I}_\text{m}=\frac{\text{e}_\text{m}}{\text{Z}}$ where $Z =$ impedence
$=\frac{80}{20}=4\text{A}$
$\text{I}_\text{r.m.s}=\frac{4}{\sqrt{2}}=\frac{4\sqrt{2}}{2}=2\sqrt{2}=2.828\text{A}$

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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

If the wavelength of light in an experiment on photoelectric effect is doubled:

Dimensions of $\frac{1}{(\mu_0\epsilon_0)}$ is:

$\frac{\text{L}}{\text{T}}$
$\frac{\text{T}}{\text{L}}$
$\frac{\text{L}^2}{\text{T}^2}$
$\frac{\text{T}^2}{\text{L}^2}$

In which of the following decays the atomic number decreases?

$\alpha-\text{decay}$
$\beta^+-\text{decay}$
$\beta^--\text{decay}$
$\gamma-\text{decay}$

To obtain P-type Si semiconductor, we need to dope pure Si with(a) Aluminium(b) Phosphorous(c) Oxygen(d) Germanium

One end of a uniform rod of mass m and length (l) is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end at a uniform angular velocity $\omega.$ The force exerted by the clamp on the rod has a horizontal component:

$\text{m}\omega^2\text{l}$
$\text{Zero.}$
$\text{mg}$
$\frac{1}{2}\text{m}\omega^2\text{l}$

Magnitude of produced magnetic field at any point inside a solenoid depends on:

Which of the following is not true for wire wound resistor?

Potentiometer measures potential more accurately because

Let $T_a$ and $T_b$ be the final temperatures of the samples $A$ and $B,$ respectively, in the previous question.

In a step-up transformer the voltage in the primary is 220 V and the current is 5A. The secondary voltage is found to be 22000V. The current in the secondary (neglect losses) is