The instantaneous values of alternating curre | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Comparing the given equations with the standard forms $i = I_0 \sin(\omega t)$ and $e = E_0 \sin(\omega t + \phi)$,we get:$I_0 = \frac{1}{\sqrt{2}

Vedclass · Accepted Answer

$\frac{1}{8}$

Vedclass · Answer

(B) Comparing the given equations with the standard forms $i = I_0 \sin(\omega t)$ and $e = E_0 \sin(\omega t + \phi)$,we get:$I_0 = \frac{1}{\sqrt{2}} 	ext{ A}$$E_0 = \frac{1}{\sqrt{2}} 	ext{ V}$$\phi = \frac{\pi}{3}$The $RMS$ values are calculated as:$I_{rms} = \frac{I_0}{\sqrt{2}} = \frac{1/\sqrt{2}}{\sqrt{2}} = \frac{1}{2} 	ext{ A}$$E_{rms} = \frac{E_0}{\sqrt{2}} = \frac{1/\sqrt{2}}{\sqrt{2}} = \frac{1}{2} 	ext{ V}$The power factor is $\cos \phi = \cos(\frac{\pi}{3}) = \frac{1}{2}$.The average power consumed is given by $P_{av} = E_{rms} I_{rms} \cos \phi$.$P_{av} = (\frac{1}{2}) 	imes (\frac{1}{2}) 	imes (\frac{1}{2}) = \frac{1}{8} 	ext{ W}$.

The instantaneous values of alternating current and voltage in a circuit are given as $i = \frac{1}{\sqrt{2}} \sin(100\pi t) \text{ A}$ and $e = \frac{1}{\sqrt{2}} \sin(100\pi t + \frac{\pi}{3}) \text{ V}$. The average power in Watts consumed in the circuit is:

Similar Questions

Let $\alpha \neq 1$ be a real root of the equation $x^3-ax^2+ax-1=0$,where $a \neq -1$ is a real number. Then,a root of this equation,among the following,is

At $298 \ K$,the value of $-\frac{\Delta[Br^-]}{\Delta t}$ for the reaction $5 Br^- (aq) + BrO_3^- (aq) + 6 H^+ (aq) \rightarrow 3 Br_2 (aq) + 3 H_2 O (l)$ is $x \ mol \ L^{-1} \ min^{-1}$. What is the rate (in $mol \ L^{-1} \ min^{-1}$) of this reaction?

An object $1\;cm$ tall is placed $4\;cm$ in front of a mirror. In order to produce an upright image of $3\;cm$ height,one needs a:

The ratio of anion radius to cation radius of a crystal is $10: 9.3$. Then,the coordination number of the cation in the crystal is

If $(1, 3), (2, 5),$ and $(3, 3)$ are three elements of $A \times B$ and the total number of elements in $A \times B$ is $6$,then the remaining elements of $A \times B$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module