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
larisa [96]
4 years ago
15

A small current element carrying a current of I = 1.00 A is placed at the origin given by d → l = 4.00 m m ^ j Find the magnetic

field, d → B , at the locations specified. Enter the correct magnitude and select the direction from the list. If the direction is negative, indicate this by entering the magnitude as a negative number. What is the magnitude and direction of d → B on the x ‑axis at x = 2.50 m ? magnitude: T Direction: ^ k ^ j ^ i What is the magnitude and direction of d → B on the z ‑axis at z = 5.00 m ?
Physics
1 answer:
xxTIMURxx [149]4 years ago
7 0

Answer:

the magnitude and direction of d → B on the x ‑axis at x = 2.50 m is -6.4 × 10⁻¹¹T(Along z direction)

the magnitude and direction of d → B on the z ‑axis at z = 5.00 m is 1.6 × 10⁻¹¹T(Along x direction)

Explanation:

Use Biot, Savart, the magnetic field

d\bar{B}=\frac{U}{4\pi } \frac{i(d\bar{l}\times r)}{r^2}

Given that,

i = 1.00A

d → l = 4.00 m m ^ j

r = 2.5m

Displacement vector is

\bar{r}=x\hat i+y\hat j+z \hat k\\

\bar{r}= (2.5m) \hat i +(0m)^2 + (0m)^2

 =2.5m

on the axis of x at x = 2.5

r = \sqrt{(2.5)^2 + (0)^2 + (0)^2}

r = 2.5m

And unit vector

\hat r =\frac{\bar{r}}{r}

= \frac{2.5 \hat i}{2.5}\\\\= 1\hat i

Therefore, the magnetic field is as follow

d\bar{B}=\frac{U}{4\pi } \frac{i(d\bar{l}\times r)}{r^2}

d\bar{B} = \frac{(10^-^7)(1)(4\times10^-^3j\times i}{(2.50)^2} \\\\d\bar{B} = -6.4\times10^{-11} T

(Along z direction)

B)r = 5.00m

Displacement vector is

\bar{r}=x\hat i+y\hat j+z \hat k\\

\bar{r}= (5.00m) \hat i +(0m)^2 + (0m)^2

 =5.00m

on the axis of x at x = 5.0

r = \sqrt{(5.00)^2 + (0)^2 + (0)^2}

r = 5.00m

And unit vector

\hat r =\frac{\bar{r}}{r}

= \frac{5.00 \hat i}{5.00}\\\\= 1\hat i\\

Therefore, the magnetic field is as follow

d\bar{B}=\frac{U}{4\pi } \frac{i(d\bar{l}\times r)}{r^2}

d\bar{B} = \frac{(10^-^7)(1)(4\times10^-^3j\times i}{(5.00)^2} \\\\d\bar{B} = 1.6\times10^{-11} T

(Along x direction)

You might be interested in
What would be the effect of the uneven distribution of
Marianna [84]
The equator would be warmer than the poles. :)
4 0
3 years ago
Read 2 more answers
A 600 N force acts on an object with a mass of 50 kg. What is the resulting acceleration of the object?
DochEvi [55]

Answer:

<h3>The answer is 12 m/s²</h3>

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

a =  \frac{f}{m}  \\

f is the force

m is the mass

From the question we have

a =  \frac{600}{50}  =  \frac{60}{5}  \\

We have the final answer as

<h3>12 m/s²</h3>

Hope this helps you

4 0
3 years ago
A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
Sophie [7]

The frequency stays the same and the wavelength increases.

Explanation;

Sound waves are a type of mechanical wave which requires a material medium for transmission. The transmission of such waves occurs as a result of vibration of particles in the material medium. The faster the vibration of the particles the higher the speed of the sound waves.

When a sound enters a new medium where the sound travels faster, it means the vibration of particles is high, and the wavelength of the waves increases which means the speed of the wave has increased. The frequency on the other hand will remain constant.

8 0
3 years ago
Which of these is an example of acceleration?
Radda [10]

Answer:

I think its the helicopter one

Explanation:

it could be the bus one though

5 0
3 years ago
A ball is thrown from a top of a building of height 20m. If the initial velocity of the ball is 15m/s at 370 above the horizonta
Lesechka [4]

Explanation:

Givens:

h = 20 \: m

v _{ix} = 15 \cos(37)  = 11.97

v _{iy} = 15 \sin(37)  = 9.03

a _{y} =  - 9.8

Let t=2 be the final velocity. Since Velocity stays the same horizontal , acceleration due to gravity changes the vertical direction

Use this equation

v _{y} = v _{iy} + a _{y}(t)

Plug in the knowns

v _{y} = 15 \sin(37)  +2 ( - 9.8)

v _{y} =   - 10.57

So the velocity in the y direction at 2 seconds is -10.57

The velocity in the x direction at 2 seconds is 11.97

Use the Pythagorean theorem to find the total velocity

v =  \sqrt{( - 10.57) {}^{2} + (11.97) {}^{2}  }

v = 15.97

b. The range at which it strike the ground.

We need to find when the velocity at the top is zero.

Using the y direction,

0 = v \sin( 37 )  - 9.8(t)

t = 0.921

Next, find the height of the max.

h =  \frac{1}{2} ( 9.8)(0.921) {}^{2}  = 4.16

So the total distance is 4.16+20= 24.16

Next to find the total time it falls

24.16 =  \frac{1}{2} (9.8) {t}^{2}

t = 2.2

So our total flight time is

3.141

Range is

v \cos(37) (3.141) = 37.63

6 0
2 years ago
Other questions:
  • Imagine an elevator crowded with too many passengers for such a small space. This situation would be a good analogy for a substa
    9·1 answer
  • Which property of an object is the result of gravity?
    7·2 answers
  • A student is subjected to a reaction force of 10 N northward from a 5 kg block while pushing the block over a smooth, level sufa
    9·1 answer
  • THE LENGTH OF A PENDULUM IS (1.5±0.01)m AND THE ACCELERATION DUE TO GRAVITY IS TAKEN AS (9.8±0.1)ms-² calculate the time period
    15·1 answer
  • HELP!! Physical or chemical property? For the questions..
    7·1 answer
  • Kaya collects the data shown in the table. What is the resistance in the circuit? 0.05 1.8 5.7 20
    14·2 answers
  • For a cosine function with amplitude A=0.75 and period T=10, what is y(4)?
    9·2 answers
  • Which subatomic particle was discovered by researchers working with cathode ray tubes
    14·1 answer
  • Using your Periodic Table, which of these elements are the best conductor of electricity?
    14·1 answer
  • Which Scientist discovered <br>atomic Theory?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!