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
Sauron [17]
3 years ago
7

Two imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge Q located at the center of the

concentric spheres. When compared to the number of field lines N1 going through the sphere of radius R, the number of electric field lines N2 going through the sphere of radius 2R is
Physics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

N2 = ¼N1

Explanation:

First of all, let's define the terms;

N1 = number of electric field lines going through the sphere of radius R

N2 = number of electric field lines going through the sphere of radius 2R

Q = the charge enclosed at the centre of concentric spheres

ε_o = a constant known as "permittivity of the free space"

E1 = Electric field in the sphere of radius R.

E2 = Electric field in the sphere of radius 2R.

A1 = Area of sphere of radius R.

A2 = Area of sphere of radius 2R

Now, from Gauss's law, the electric flux through the sphere of radius R is given by;

Φ = Q/ε_o

We also know that;

Φ = EA

Thus;

E1 × A1 = Q/ε_o

E1 = Q/(ε_o × A1)

Where A1 = 4πR²

E1 = Q/(ε_o × 4πR²)

Similarly, for the sphere of radius 2R,we have;

E2 = Q/(ε_o × 4π(2R)²)

Factorizing out to get;

E2 = ¼Q/(ε_o × 4πR²)

Comparing E2 with E1, we arrive at;

E2 = ¼E1

Now, due to the number of lines is proportional to the electric field in the each spheres, we can now write;

N2 = ¼N1

You might be interested in
Can I have some help? I Really need it!
alina1380 [7]
Crude oil, coal, natural gas. All of these pollute the Earth when there are consumed and have a certain amount available. Renewable resources are infinite in value.
8 0
3 years ago
Read 2 more answers
A woman takes her dog Rover for a walk on a leash. She pulls on the leash with a force of 30.0 N at an angle of 29° above the ho
ValentinkaMS [17]

Answer:

The force parallel to the horizontal is 26.24 N

Explanation:

She pulls on the leash with a force F = 30 N, this force, since its at an angle of 29° (i will cal this angle \theta), it has a force component on x (the horizontal, i will call this force F_{x}) and a force component on y (the vertical, i will call this F_{y} ).

This can be seen in the attached picture.

Since we are asked about the force parallel to the horizontal, we need to find the component of the force F_{x}, since F_{x} is the adjacent angle, we need to use cosine:

F_{x}=Fcos \theta

since F=30N and \theta=29

F_{x}=(30N)cos(29)

F_{x}=(30N)(0.8746)

F_{x}=26.24N

The force parallel to the horizontal is 26.24 N

7 0
3 years ago
What's faster a slow car or a fast feather?​
krok68 [10]

Answer:

A fast feather

Explanation:

The faster any item is, the more momentum it has

5 0
3 years ago
Read 2 more answers
Which of the following statements is true?
Lilit [14]

A. All natural radiation is at a level low enough to be safe

8 0
3 years ago
A train car has a mass of 10,000 kg and is moving at +3.0 m/s. It strikes an identical train car that is at rest. The train cars
Sergeeva-Olga [200]

Answer:

ok what is the question

3 0
3 years ago
Read 2 more answers
Other questions:
  • A mining crew extracted two different types of minerals from underground. Then, they transferred the same amount of energy into
    11·2 answers
  • Based on the information in the chart, which of these acids would be the best conductor of electricity?
    9·1 answer
  • How does the gravity in the space shuttle compare with the gravity on earth’s surface?
    6·2 answers
  • Tomarrow last day of school
    10·1 answer
  • Why do no stores sell dethatching mower blades with metal springs?
    7·1 answer
  • A scientist in Northern California is studying the tree rings of a very old redwood tree. He notices that the oldest tree rings
    11·2 answers
  • What factors affect the speed of a wave? Check all that apply.
    7·1 answer
  • Velocity is the speed at which an object moves in a specific direction. It's measured in meters per second, minute or hour in a
    14·1 answer
  • 2. What is the reason for spherometer stands on three legs?​
    15·2 answers
  • Need help with this one! Thank you xoxo!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!