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
Veronika [31]
3 years ago
10

A rod of length L has a charge Q uniformly distributed along its length. The rod lies along the y axis with one end at the origi

n. (a) Find an expression for the electric potential as a function of position along the x axis.
Physics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

 V = k Q/l  ln [(l +√(l² + x²)) / x]

Explanation:

The electrical potential for a continuous distribution of charges is

      V = k ∫ dq / r

Let's apply this expression to our case, define a linear charge density for the bar

           λ = dq / dy

          dq = λ dy

The distance from a point on the bar to the x-axis is

            r = √ (x² + y²)

Let's replace

          V = K ∫ λ dy /√ (x² + y²)

     

We integrate

         V = k λ ln (y + √ (x² + y²))

       

Let's evaluate between y = 0 and y = l

         V = k λ [ ln (l +√(x² + l²) - ln x]

We substitute the linear density

           V = k Q/l  ln [(l +√(l² + x²)) / x]

You might be interested in
Monochromatic light with a wavelength of 6.4 E -7 meter passes through two narrow slits, producing an interference pattern on a
seropon [69]

Answer:

The distance between the slits is given by  1.3 × 10^{-4} m

Given:

\lambda = 6.4 \times 10^{-7} m

D = 4 m

y = 2 \times 10^{-2} m

m = 1

To find:

distance between slits, d = ?

Formula used:

y = \frac{m \times \lambda \times D}{d}

y = distance of first bright band from central maxima

D = distance between screen and source

d = distance between slits

\lambda = wavelength

Solution:

distance of first bright band from central maxima is given by,

y = \frac{m \times \lambda \times D}{d}

y = distance of first bright band from central maxima

D = distance between screen and source

d = distance between slits

\lambda = wavelength

Thus,

d = \frac{m \times \lambda \times D}{y}

d = \frac{1 \times 6.4 \times 10^{-7} \times 4 }{2 \times 10^{-2} }

d = 1.28 × 10^{-4}

d = 1.3 × 10^{-4} m

The distance between the slits is given by  1.3 × 10^{-4} m

8 0
3 years ago
Identify the vibrating media in three different types of musical instruments
Artist 52 [7]

Answer:

There are three basic categories of musical instruments: percussion, wind, and stringed instruments. Most musical instruments use resonance to amplify sound waves and make sounds louder. In a musical instrument, the whole instrument and the air inside it may vibrate when the head of the drum is struck.

3 0
2 years ago
Most of the resistance of the human body comes from the skin, as the interior of the body contains aqueous solutions that are go
ruslelena [56]

Answer:

a) Resistivity=R.A/L

Here, R=500000ohm, L=1.6m, A=2pi* (0.14/2)*0.002 m2=0.00088.........we have converted quantities into SI units

Resistivity=R.A/L

=500000*0.00088/1.6 = 440/1.6= 275 ohm.meter

b) pskin/pinterior =275/4.8=57.3

For second part, correct option is (A), because cross section area is smaller.

4 0
3 years ago
Briefly explain the difference between being self-centered and
tensa zangetsu [6.8K]

Answer:

Explanation:

Self centered means you think about yourself and can sometimes mean that you're arrogant. Self aware means you are aware of certain things you do. Self centered has a negative connotation while self aware has a positive one.

6 0
3 years ago
Read 2 more answers
A hot-air balloon is rising upward with a constant speed of 2.03 m/s. When the balloon is 8.13 m above the ground, the balloonis
HACTEHA [7]
The answer is 4.2s...
7 0
3 years ago
Other questions:
  • 2. You are on your skateboard doing 2.4 m/s when you start to accelerate at 0.6 m/s down a hill for 20.5. How fard
    14·1 answer
  • What effect does an increase in temperature have on viscosity?
    5·2 answers
  • An electric generator consists of a circular coil of wire of radius 4.0×10−2 m , with 20 turns. The coil is located between the
    6·1 answer
  • Hi, how do you draw two opposite rays and name them? Is it two of these "<--->" that intersect? Or two separate rays?
    12·1 answer
  • Which of the following statements is/are true? Check all that apply. A. A potential energy function can be specified for a conse
    5·1 answer
  • What are the components of a vector with a magnitude of 4.00 and a direction of -112 degrees
    9·1 answer
  • Which components of the atom has a positive charge
    10·2 answers
  • 10POiNTS!!! SPACE QUESTION!
    8·1 answer
  • A spring toy jumps up from the floor and comes back down to the floor. Its initial speed is 12 m/s. What is the
    8·1 answer
  • PLEASE HELP: An engineer is designing a runway. She knows that a plane, starting at rest, needs to reach a speed of 140mph at ta
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!