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frozen [14]
3 years ago
7

In a certain region of space, the electric potential is V(x,y,z)=Axy−Bx^2+Cy, where A, B, and C are positive constants. (a) Calc

ulate the x-, y-, and z-components of the electric field. (Use any variable or symbol stated above as necessary.) x-component Ex, y-component Ey, z-component Ez. At what point electric field equal to zero.
Physics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

E = (Ay-2Bx) i ^ + (Ax + C) j ^ + 0 k ^  and (-C / A i ^ + 2BC / A2 j ^)

Explanation:

The electric field the electric potential are related through the least gradient

           E = -ΔV = - dV / dx i^

Let's perform the calculations

        E = dB / dx i ^ + dV / d and j ^ + dV / dz k ^

        dv / dx = A and - B 2x

        dv / dy = Ax + C

        dv / dz = 0

        E = (Ay-2Bx) i ^ + (Ax + C) j ^ + 0 k ^

Where is E = 0

            Ex = 0

            Ay -2Bx = 0

            y = 2B / A X

            Ey = 0

            Ax + C =

            x = -C / A

           Ez = 0

For the total electric field to be steel the two components must be zero simultaneously

           y = 2B / A (-C / A)

          y = 2B C / A2

The coordinates of the point are (-C / A i ^ + 2BC / A2 j ^)

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An object is placed perpendicular to the the principal axis of convex lens of focal length 8,the distance of the object from the
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Answer:

v = 24 cm and inverted image

Explanation:

Given that,

The focal length of the object, f = +8 cm

Object distance, u = -12 cm

We need to find the position &nature of the image​. Let v be the image distance. Using lens formula to find it :

\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}

Put all the values,

\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{8}+\dfrac{1}{(-12)}\\\\v=24\ cm

So, the image distance from the lens is 24 cm.

Magnification,

m=\dfrac{v}{u}\\\\m=\dfrac{24}{-12}\\\\m=-2

The negative sign of magnification shows that the formed image is inverted.

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2 years ago
In order to waken a sleeping child, the volume on an alarm clock is doubled. Under this new scenario, how much more energy will
Kamila [148]

Answer:4 times more energy will be striking the childbearing

Explanation:

Because Volume is directly proportional to amplitude of sound. Energy is proportional to amplitude squared. If you triple the amplitude, you multiply the energy by 4

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2 years ago
Which property is closely related to its temperature
Lilit [14]

Answer:

Mass – The single most important property that determines other properties of the star. Luminosity – The total amount of energy (light) that a star emits into space. Temperature – surface temperature, closely related to the luminosity and color of the star

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3 years ago
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A 3600 kg rocket traveling at 2900 m/s is moving freely through space on a journey to the moon. The ground controllers find that
Nana76 [90]

Answer:

m=417.24 kg

Explanation:  

Given Data

Initial mass of rocket  M = 3600 Kg

Initial velocity of rocket vi = 2900 m/s  

velocity of gas vg = 4300  m/s

Θ = 11° angle in degrees

To find

m = mass of gas  

Solution

Let m = mass of gas    

first to find Initial speed with angle given

So

Vi=vi×tanΘ...............tan angle

Vi= 2900m/s × tan (11°)

Vi=563.7 m/s

Now to find mass

m = (M ×vi ×tanΘ)/( vg + vi tanΘ)

put the values as we have already solve vi ×tanΘ

m = (3600 kg ×563.7m/s)/(4300 m/s + 563.7 m/s)

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7 0
3 years ago
Consult Multiple-Concept Example 5 to review the concepts on which this problem depends. A light bulb emits light uniformly in a
den301095 [7]

Answer:

a. 0.332 W/m² b. 11.2 V/m c. 15.8 V/m

Explanation:

(a) the average intensity of the light,

Intensity, I = P/A where P = average power = 150.0 W and A = area through which the power emits = 4πr² where r = distance from bulb = 6 m.

So, I = P/A = P/4πr²

Substituting the values of the variables into the equation, we have

I =  P/4πr²

I =  150.0 W/4π(6 m)²

I =  150.0 W/4π(36 m²)

I =  150.0 W/452.39 m²

I =  0.332 W/m²

(b) the rms value of the electric field,

Since Intensity, I = E²/cμ₀ where E = rms value of electric field, c = speed of light = 3 × 10⁸ m/s and μ₀ = permeability of free space = 4π × 10⁻⁷ H/m.

Making E subject of the formula, we have

E² = Icμ₀

E = √(Icμ₀)

Since I = 0.332 W/m², substituting the other terms into the equation, we have

E = √(0.332 W/m² × 3 × 10⁸ m/s × 4π × 10⁻⁷ H/m.)

E = √(0.332 W/m² × 3 × 10⁸ m/s × 4π × 10⁻⁷ H/m.)

E = √(12.5 × 10)

E = √125 V/m

E = 11.18 V/m

E ≅ 11.2 V/m

(c) the peak value of the electric field.

The peak value of electric field, E' is gotten from E = E'/√2 where E = rms value of electric field.

So, E' = √2E

= √2 × 11.2 V/m

= 15.81 V/m

≅ 15.8 V/m

6 0
3 years ago
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