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
elixir [45]
2 years ago
13

Charge is uniformly distributed around a ring of radius R and the resulting electric field magnitude E is measured along the rin

g's central axis (perpendicular to the plane of the ring). At what distance from the ring's center is E maximum? (Use any variable or symbol stated above as necessary.)

Physics
1 answer:
Arte-miy333 [17]2 years ago
3 0

Answer:

x=\dfrac{r}{\sqrt2}

Explanation:

Given that

Radius =r

Electric filed =E

Q=Charge on the ring

The electric filed at distance x given as

E=K\dfrac{Q}{(r^2+x^2)^{3/2}}

For maximum condition

\dfrac{dE}{dx}=0

E=K{Q}{(r^2+x^2)^{-3/2}}

\dfrac{dE}{dx}=K{Q}{(r^2+x^2)^{-3/2}}-\dfrac{3}{2}\times 2\times x\times K{Q}{(r^2+x^2)^{-5/2}}

For maximum condition

\dfrac{dE}{dx}=0

K{Q}{(r^2+x^2)^{-3/2}}-\dfrac{3}{2}\times 2\times x\times K{Q}{(r^2+x^2)^{-5/2}}=0

r^2+x^2-3x^2=0

x=\dfrac{r}{\sqrt2}

At x=\dfrac{r}{\sqrt2} the electric field will be maximum.

You might be interested in
A 2kg block has 70J of KE. It then travels 1.5 meters up a hill. As it travels up the hill friction does -12J of work on the blo
Dima020 [189]

Answer:

v = 5.34[m/s]

Explanation:

In order to solve this problem, we must use the theorem of work and energy conservation. This theorem tells us that the sum of the mechanical energy in the initial state plus the work on or performed by a body must be equal to the mechanical energy in the final state.

Mechanical energy is defined as the sum of energies, kinetic, potential, and elastic.

E₁ = mechanical energy at initial state [J]

E_{1}=E_{pot}+E_{kin}+E_{elas}\\

In the initial state, we only have kinetic energy, potential energy is not had since the reference point is taken below 1.5[m], and the reference point is taken as potential energy equal to zero.

In the final state, you have kinetic energy and potential since the car has climbed 1.5[m] of the hill. Elastic energy is not available since there are no springs.

E₂ = mechanical energy at final state [J]

E_{2}=E_{kin}+E_{pot}

Now we can use the first statement to get the first equation:

E_{1}+W_{1-2}=E_{2}

where:

W₁₋₂ = work from the state 1 to 2.

E_{k}=\frac{1}{2} *m*v^{2} \\

E_{pot}=m*g*h

where:

h = elevation = 1.5 [m]

g = gravity acceleration = 9.81 [m/s²]

70 - 12 = \frac{1}{2}*2*v^{2}+2*9.81*1.5

58 = v^{2} +29.43\\v^{2} =28.57\\v=\sqrt{28.57}\\v=5.34[m/s]

4 0
3 years ago
Is a solid PETROLEM
bearhunter [10]
No petroleum is a liquid
3 0
3 years ago
Read 2 more answers
Based on the data given, in what direction will the car accelerate?
skad [1K]
Vertical forces:
There is a force of 579N acting upward, and a force of 579N
acting downward.
The vertical forces are balanced ... they add up to zero ...
so there's no vertical acceleration. 
Not up, not down.

Horizontal forces:
There is a force of 487N acting to the left, and a force of 632N
acting to the right.
The net horizontal force is

        (487-left + 632-right)  -  (632-right - 487-right) =  145N to the right.

The net force on the car is all to the right.
The car accelerates to the right.
7 0
2 years ago
What part of the scientific method tests the hypothesis?
blagie [28]

Answer:

A hypothesis is a conjecture, based on knowledge obtained while seeking answers to the question. The hypothesis might be very specific, or it might be broad. Scientists then test hypotheses by conducting experiments or studies.

Explanation:

mark me as the brainliest

have a great day

6 0
2 years ago
BRAINLIEST FOR YOU IF YOU ANSWER
luda_lava [24]

Answer:

d

Explanation:

i think

5 0
2 years ago
Other questions:
  • A baseball is hit with a bat. The direction of the ball is completely reversed and its speed is doubled. If the actual contact w
    5·2 answers
  • What are the effects of noise?​
    15·1 answer
  • We find that the electric field of a charged disk approaches that of a charged particle for distances y that are large compared
    14·1 answer
  • How is the voltage V across the resistor related to the current I and the resistance R of the resistor? (Use I for current and R
    15·1 answer
  • cheryl has a mug that she says is made up of matter. heather says that the hot chocolate inside the cup is made up of matter, to
    13·1 answer
  • Solar panels allow us to harness ___________ energy and convert it to __________ energy to heat water.
    15·1 answer
  • The velocities of light in air and glass are 3.0 x 10^8ms and 2.0×10^8ms respectively. If the angle of refraction is 30°, the si
    6·1 answer
  • Chuck and Jackie stand on separate carts, both of which can slide without friction. The combined mass of Chuck and his cart, mca
    7·1 answer
  • What is the relationship between wavelength of light and the quantity of energy per photon?
    12·2 answers
  • w strong are you? Could you turn a moving car with just your own strength? No way! If a normal driver inputs about 50 N of force
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!