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aksik [14]
3 years ago
10

Three negative point charges q1 =--5 nC, q2 = -2 nC and q3 = -5 nC lie along a vertical line. The charge q2 lies exactly between

charge q1 and q3 which are 16 cm apart. Find the magnitude and direction of the electric field this combination of charges produces at a point P at a distance of 6 cm from the q2.

Physics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

Ep= -10400 N/C

Ep= 10400 N/C  In the direction of the (-x )axis

Explanation:

Conceptual analysis

The electric field at a point P due to a point charge is calculated as follows:

E = k*q/d²

E: Electric field in N/C

q: charge in Newtons (N)

k: electric constant in N*m²/C²

d: distance from charge q to point P in meters (m)

Equivalence  

1nC= 10⁻⁹C

1cm = 10⁻²m

Data

K= 9x10⁹N*m²/C²

q₁ = q₃= -5 nC= -5 *10⁻⁹C

q₂ = -2 nC = -2 *10⁻⁹C

d₁=d₃=d

d=\sqrt{8^{2}+6^{2}  } = 10 cm =  10*10⁻²m = 0.1m

d₂ = 6cm =  6*10⁻²m = 0.06m

Graphic attached

The attached graph shows the field due to the charges:

E₁ : Electric Field at point P  due to charge q₁. As the charge q₁  is negative (q₁-) ,the field enters the charge

E₂: Electric Field at point  P  due to charge q₂. As the charge q₂  is negative (q₂-) ,the field enters the charge

E₃: Electric Field at point  P  due to charge q₃. As the charge q₃  is negative (q₃-) ,the field enters the charge

Ep: Total field at point P due to charges q₁ , q₂ and q₃ .

Because q₁ = q₃ and d₁ = d₃, then, the magnitude of E₁ is equal to the magnitude of E₃

E₁ = E₃ = k*q/d² = ( 9*10⁹*5*10⁻⁹) /(0.1)² = 4500 N/C

E₂=  k*q₂/d₂²  = ( 9*10⁹*2*10⁻⁹) /(0.06)² = 5000 N/C

Look at the attached graphic :

Epx : Electric field component at point P in x direction

Epx =E₁x+E₂x+ E₃x

E₁x= E₃x= - 4500 * cosβ =- 4500* (6/10) = - 2700 N/C

E₂x = - 5000 N/C

Epx = E₁x+E₂x+ E₃x = - 2700 N/C - 5000 N/C- 2700 N/C

Epx = - 10400 N/C

Epy : Electric field component at point P in y direction

Epy =E₁y+E₂y+ E₃y

E₁y=  4500 * sinβ = 4500* (8/10) =  3600 N/C

E₃y= - 4500 * sinβ =  -4500* (8/10) =  -3600 N/C

E₂y = 0

Epy =E₁y+E₂y+ E₃y = 3600 N/C+0-3600 N/C

Epy = 0

Magnitude and direction of the electric field this combination of charges produces at a point P

Ep= Epx = 10400 N/C  In the direction of the (-x) axis

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Answer: 3. F1 = F2

Explanation:

According to <u>Newton's law of Gravitation</u>, the force F exerted <u>between two bodies</u> or objects of masses M and m and separated by a distance r is equal to the product of their masses divided by the square of the distance:  

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Now, in the especific case of the Earth and the satellite, where the Earth has a mass M and satellite a mass m, being both separated a distance r, the force exerted  by the Earth on the satellite is:

F1=G\frac{Mm}{r^2}   (2)

And the force  exerted by the satellite on the Earth is:

F2=G\frac{Mm}{r^2}   (3)

As we can see equations (2) and (3) are equal, hence the magnitude of the gravitational force is the same for both:

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3 0
3 years ago
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liberstina [14]

Answer:

2C

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Using the formula for the sum of the infinite terms of a geometric series, we have:

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5 0
3 years ago
1) Arrange the following spectral regions in order of increasing energy: infrared, microwave, ultraviolet, visible.
Anton [14]

Answer:

The order of increasing energy is as follows

"microwave < infrared < visible < ultraviolet"

Option (A) is correct.

Explanation:

Given:

Arrange the following spectral regions in order of increasing energy: infrared, microwave, ultraviolet, visible.

From the formula of energy in terms of frequency.

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In our case ultraviolet has higher frequency and microwave has lower frequency.

So ultraviolet has higher energy and microwave has lower energy.

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Therefore, the order of increasing energy is as follows

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7 0
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Please help me with this please <br><br> I’ll mark you Brainly
ivolga24 [154]
I think it is option (C).

If the answer is helpful then mark me as brainly.
4 0
2 years ago
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nikklg [1K]

The vertical force exerted on the lawn is 68.8 N downward

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Substituting,

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Learn more about vector components and forces here:

brainly.com/question/2678571

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#LearnwithBrainly

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