The diagram shows a transformer. Based on the diagram the voltage at the second winding is ___

maria [59]

Statement :- We assume the orthagonal sequence ${{\{\phi\}}_{1}^{\infty}}$ in Hilbert space, now ${\forall \sf \:v\in \mathbb{V}}$ , the Fourier coefficients are given by:

${\quad \qquad \longrightarrow \sf a_{i}=(v,{\phi}_{i})}$

Then Bessel's inequality give us:

${\boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}$

Proof :- We assume the following equation is true

${\quad \qquad \longrightarrow \displaystyle \sf v_{n}=\sum_{i=1}^{n}a_{i}{\phi}_{i}}$

So that, ${\bf v_n}$ is projection of ${\bf v}$ onto the surface by the first ${\bf n}$ of the ${\bf \phi_{i}}$ . For any event, ${\sf (v-v_{n})\perp v_{n}}$

Now, by Pythagoras theorem:

${:\implies \quad \sf \Vert v\Vert^{2}=\Vert v-v_{n}\Vert^{2}+\Vert v_{n}\Vert^{2}}$

${:\implies \quad \displaystyle \sf ||v||^{2}=\Vert v-v_{n}\Vert^{2}+\sum_{i=1}^{n}\vert a_{i}\vert^{2}}$

Now, we can deduce that from the above equation that;

${:\implies \quad \displaystyle \sf \sum_{i=1}^{n}\vert a_{i} \vert^{2}\leqslant \Vert v\Vert^{2}}$

For ${\sf n\to \infty}$ , we have

${:\implies \quad \boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}$

Hence, Proved

5 0

2 years ago

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A +26.3 uC charge qy is repelled by a force

Musya8 [376]

Answer:

+1.46×10¯⁶ C

Explanation:

From the question given above, the following data were obtained:

Charge 1 (q₁) = +26.3 μC = +26.3×10¯⁶ C

Force (F) = 0.615 N

Distance apart (r) = 0.750 m

Electrical constant (K) = 9×10⁹ Nm²/C²

Charge 2 (q₂) =?

The value of the second charge can be obtained as follow:

F = Kq₁q₂ / r²

0.615 = 9×10⁹ × 26.3×10¯⁶ × q₂ / 0.750²

0.615 = 236700 × q₂ / 0.5625

Cross multiply

236700 × q₂ = 0.615 × 0.5625

Divide both side by 236700

q₂ = (0.615 × 0.5625) / 236700

q₂ = +1.46×10¯⁶ C

NOTE: The force between them is repulsive as stated from the question. This means that both charge has the same sign. Since the first charge has a positive sign, the second charge also has a positive sign. Thus, the value of the second charge is +1.46×10¯⁶ C

5 0

2 years ago

Someone please hellpp!!! Will mark brainliest

____ [38]

<em>Answer:</em>

<em>sorry if its not correct you can delete if you want.</em>

6 0

3 years ago

A cat chases a mouse across a 1.2 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the

Drupady [299]

The cat has two directions of motions:
The horizontal motion = Dx = 2.2 m
The vertical motion = Dy = -1.3 m (negative sign indicates that the cat is falling)
a = 9.8 m/sec^2
Vy = zero (since you are not moving up)

From the laws of motion:
<span>Dy = Vyt + 0.5ayt^2
</span>-1.3 = 0(t) + 0.5(-9.8)t^2
<span>t = 0.52s
</span>
Then, again using the laws of motion (but for the horizontal direction this time)
Dx = Vxt
<span>2.2 = Vx0.52 </span>
<span>Vx = 2.2/0.52 </span>
<span>= 4.23 m/s
</span>
<span>Therefore the cat's speed when it slid off the table is 4.23 m/s horizontally.</span>

7 0

3 years ago

What are three properties of electromagnetic waves?

Zolol [24]

The three properties of electromagnetic waves are; they travel at the speed of light, they include ultraviolet waves, and they can transfer energy through empty space.

<h2>Further Explanation</h2><h3>A wave</h3>

A wave is a transmission of a disturbance. It involves transmission of energy from one point which is the source to another point.
Waves may be classified depending on the need for a transmission medium or based on the vibration of particles relative to the direction of wave motion.
Waves may be either transverse or longitudinal based on the direction of wave motion relative to the vibration of particles
Additionally waves may be classified as either electromagnetic wave or mechanical based on the need for a transmission medium.

<h3>Electromagnetic waves </h3>

Electromagnetic waves are types of waves that do not require a material medium for transmission.
All waves of the electromagnetic spectrum are electromagnetic transverse waves that do not require a material medium for transmission.
They include; radio waves, microwaves, infrared, visible light, ultra-violet, x-rays, and gamma rays.
All waves of the electromagnetic spectrum travel with a speed of light, 3.0 x10^8 m/s.
Additionally, electromagnetic waves possess energy that is given by; E = hf; where h is the plank's constant and f is the frequency.

keywords: Wave, electromagnetic wave, electromagnetic spectrum

<h2>Learn more about: </h2>

Waves: brainly.com/question/5354733
Electromagnetic waves: brainly.com/question/5354733
Electromagnetic spectrum: brainly.com/question/5354733
Velocity, speed and wavelength: brainly.com/question/11898955

Level: High school

Subject: Physics

Topic: Electromagnetic spectrum

Sub-topic: Properties of an electromagnetic waves

5 0

3 years ago

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The diagram shows a transformer. Based on the diagram the voltage at the second winding is ____ v