1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
3. A cart with mass of 30 kg is traveling with a velocity of 4.0 m/s. The
MaRussiya [10]

Answer:

39 m/s

Explanation:

8 0
2 years ago
Read 2 more answers
The mass of a meteoroid was found to be 1.24 × 107 kilograms. Write the mass in standard notation.
Musya8 [376]

Answer:

The value we are given in the question is 1.24 * 10^7. This form of writing number is called scientific notation. The standard notation is the normal, regular way of writing numbers. Scientific notation and standard notations are interchangeable.

1.24 * 10^7 written in standard notation will be = 1.24 * 10000000 = 12400000.

Thus, the mass of the meteoroid was 12400000 kg.

Explanation:

8 0
3 years ago
The moon's orbit around the Earth will advance in one day:<br><br> 1°<br> 13°<br> 27°<br> 29°
Sever21 [200]
<span>The moon's orbit around the Earth will advance in one day:

1°
13° correct answer 
27°
29°</span><span />
3 0
3 years ago
Read 2 more answers
What is the kinetic energy of a 1.40 kg discus with a speed of 22.5 m/s?
Oksana_A [137]
Kinetic energy = (1/2) (mass) (speed)²

                         = (1/2) (1.4 kg) (22.5 m/s)²

                         =    (0.7 kg)  (506.25 m²/s² )

                         =          354.375  kg-m²/s²  =  354.375 joules .

This is just the kinetic energy associated with a 1.4-kg glob of
mass sailing through space at 22.5 m/s.  In the case of a frisbee,
it's also spinning, and there's some additional kinetic energy stored
in the spin. 
8 0
3 years ago
Why are we buried in the ground when we die?
trasher [3.6K]
What kind of the question is that. We aren't really buried. We either go to Heaven or the other place. Some people say it's over when your buried in the ground but believers don't really think that. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Does the sign of the charge (positive or negative) affect how that charge is dissipated? Explain.
    15·1 answer
  • The force on an object is F⃗ =−17j⃗ . For the vector v⃗ =2i⃗ +3j⃗ , find: (a) The component of F⃗ parallel to v⃗
    9·1 answer
  • Your grandfather clock's pendulum has a length of 0.9930 m. if the clock loses 60 seconds per day, should you increase or decrea
    7·2 answers
  • One kilogram-meter per second squared is also equal to what unit
    10·1 answer
  • Can someone please help me come up with a hypothesis?. The question that I have is "How many sugars are in your smoothies?"
    8·2 answers
  • You are driving a car at the 25-mi/h speed limit when you observe the light at the intersection 65 m in front of you turn yellow
    7·1 answer
  • Which model is most similar to that of Aristarchus?
    5·2 answers
  • Help with question 19 please
    15·1 answer
  • When the resistance in a circuit remains constant, how are the voltage and current related?
    9·2 answers
  • The average velocity of an object over 6.0 seconds interval is 2 m/s what is the total distance traveled and M by the object doi
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!