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
alina1380 [7]
3 years ago
14

Find an expression for the electric field E⃗ at the center of the semicircle. Hint: A small piece of arc length Δs spans a small

angle Δθ=Δs /R, where R is the radius. Express your answer in terms of the variables Q, L, unit vectors i^, j^, and appropriate constants.
Physics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

Electric Field a the centreE=\dfrac{Q}{2\pi^2\epsilon_0 R^2}(-\vec j)

Explanation:

<u>Given:</u>

Total charge on the semicircle =Q

Radius of the semicircle=R

Let consider a elemental charge on the semicircle at an angle \theta\\ with the horizontal. Since the The charge distribution is symmetrical about y axis so the there will symmetrical charge on other side. The horizontal component will cancel out each other and vertical component will get added so let dE be the electric Field due to elemental charge

Let \lambda be the charge per unit length such that\lambda=\dfrac{Q}{\pi R}

k=\dfrac{1}{4\pi \epsilon_0}

Total Electric Field at the centre

=2dE\sin\theta\\=2\dfrac{k\lambda }{R}\int \sin \theta d\theta\\

integrating 0 to \dfrac{\pi}{2}

E=\dfrac{2k\lambda}{R}(-\vec j)

E=\dfrac{Q}{2\pi^2\epsilon_0 R^2}(-\vec j)

So the Electric field at the centre is calculated.

You might be interested in
Not including thinking distance, lawful brakes must stop a car at 20 miles per hour within how many feet?
Svetradugi [14.3K]

Answer:

B. 25 feet

Explanation:

In most cities in US, passenger car brakes must stop a car moving at 20 miles per hour at 25 feet.

Therefore, the correct option is "B" 25 feet

5 0
3 years ago
Read 2 more answers
Electromagnetic waves all move at the same wave speed. which of these offer solutions to slowing them down select all that apply
Lelechka [254]

option c...have the waves move thru the vacuum or space

6 0
3 years ago
Question 11 of 15
SVEN [57.7K]
Carbon tetrahydride is B. CH4
5 0
2 years ago
Read 2 more answers
Name 5 machine principles​
lidiya [134]

The Wheel & Axle. The wheel has always been considered a major invention in the history of mankind

The Inclined Plane

The Wedge

The Pulley

The Screw

3 0
3 years ago
What caused magnetic fields? What happens If you keep breaking a magnet in two until you reach a single atom?
mote1985 [20]

magnetic materials will produce magnetic field near it

All magnets are made up of small magnet type atoms which are known as domains

These all atoms will align itself so that they all produce strong magnetic field along the axis

this magnetic field will become more strong as more number of atoms are aligned.

Now if we break the magnet into small piece then the magnetic field strength will start decreasing and at the end when only one atom will remain then the magnetic field strength will reduce to the field of one atom only.

6 0
3 years ago
Other questions:
  • Which of the following best describes the first step in the formation of a hurricane?
    12·1 answer
  • HELP!!! When fat comes in contact with sodium hydroxide, it produces soap and glycerin. Determine whether this is a physical cha
    7·1 answer
  • Esmerelda may have a brain tumor. Her doctor will most likely use to view the tumor.
    6·2 answers
  • find the work done by the gravity and normal on the particle during its displacement from top to ground.
    13·2 answers
  • Current passes through a solution of sodium chloride. In 1.00 second, 2.68×1016Na+ ions arrive at the negative electrode and 3.9
    9·1 answer
  • A car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car
    15·1 answer
  • 28. Cooking requires continuous addition of energy to the chemical reactions that are taking place. The chemical reactions invol
    8·1 answer
  • Two gliders collide on an air track. Glider 1 has a mass of 7.0 kg, and glider 2 has a mass of 4.0 kg. Before the collision, gli
    10·1 answer
  • a body of mass 3kg is dropped from a height 15m.what would be the velocity of the body at 10m of height? take g=10m/s​
    12·1 answer
  • A student walks 4 blocks east, 7 blocks west, 1 block east and then 2 blocks west in an hour what is their velocity
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!