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
Eddi Din [679]
3 years ago
10

Two circular coils are concentric and lie in the same plane. The inner coil contains 120 turns of wire, has a radius of 0.012 m,

and carries a current of 5.0 A. The outer coil contains 165 turns and has a radius of 0.017 m. What must be the magnitude and direction (relative to the current in the inner coil) of the current in the outer coil, such that the net magnetic field at the common center of the two coils is zero
Physics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

5.152 A

Opposite to the inner coil

Explanation:

\mu_0 = Vacuum permeability = 4\pi \times 10^{-7}\ H/m

I_o = Outer coil current

I_i = Inner coil current = 5 A

N_i = Turns in inner coil = 120

N_o = Turns in outer coil = 165

R_i = Inner radius = 0.012 m

R_o = Outer radius = 0.017 m

Putting the magnetic field as equal we have

\dfrac{\mu_0I_iN_i}{2R_i}=\dfrac{\mu_0I_oN_o}{2R_o}\\\Rightarrow I_o=I_i\dfrac{N_i}{N_o}\dfrac{R_o}{R_i}\\\Rightarrow I_o=5\times \dfrac{120}{165}\times \dfrac{0.017}{0.012}\\\Rightarrow I_o=5.152\ A

The magnitude of current is 5.152 A,

The direction of the current is opposite to that of the inner coil as they have opposing magnetic fields

You might be interested in
How much work is done when a 100 N force moves a block 59 m?
xxTIMURxx [149]

Answer:

5900J

Explanation:

Work=Forse*Distance

work = J, Jewls

100*59=5900

Hop this helps and can u think about brainlist

i put a picture on how to find these answers, if u got any more questions im here

3 0
3 years ago
You drive a car 1600 ft to the east, then 2500 ft to the north. The trip took 2.5 minutes. What was the magnitude of your averag
elena-14-01-66 [18.8K]

Answer:

Velocity=6.03m/s

Explanation:

Given data

Time t=2.5 minutes=150 seconds

Distance A=1600 ft=487.68 m........east

Distance B=2500 ft=762m ........north

To find

Average velocity

Solution

First we need to find the resultant distance magnitude.To find that we apply Pythagorean theorem to find hypotenuse

So

A^{2}+B^{2}=C^{2}\\  C=\sqrt{A^{2}+B^{2}}\\ C=\sqrt{(487.68m)^{2}+(762m)^{2}}\\ C=904.7m

Velocity=\frac{Distance}{Time}\\Velocity=\frac{904.7m}{150s}\\Velocity=6.03m/s

7 0
3 years ago
if the instantaneous current in the circuit is giveen by I=3 sin theta amperes, the rms value of the current will be
Kisachek [45]

Answer:

I_{rms}=2.12\ A

Explanation:

Given that,

The instantaneous current in the circuit is giveen by :

I=3\sin\theta\ A

We need to find the rms value of the current.

The general equation of current is given by :

I=I_o\sin\theta

It means, I_o=3\ A

We know that,

I_{rms}=\dfrac{I_o}{\sqrt2}\\\\=\dfrac{3}{\sqrt2}\\\\=2.12\ A

So, the rms value of current is 2.12 A.

4 0
3 years ago
Using energy considerations and assuming negligible air resistance, show that a rock thrown from a bridge 23.5 m above water wit
Elodia [21]

As stated in the statement, we will apply energy conservation to solve this problem.

From this concept we know that the kinetic energy gained is equivalent to the potential energy lost and vice versa. Mathematically said equilibrium can be expressed as

\Delta KE = \Delta PE

\frac{1}{2}mv_f^2-\frac{1}{2} mv_0^2 = mgh_2-mgh_1

Where,

m = mass

v_{f,i} = initial and final velocity

g = Gravity

h = height

As the mass is tHe same and the final height is zero we have that the expression is now:

\frac{1}{2}v_f^2-\frac{1}{2} v_0^2 = gh_2

\frac{1}{2} (v_f^2-v_0^2) = gh_2

(v_f^2-v_0^2) = 2gh_2

v_f = \sqrt{2gh_2+v_0^2}

v_f = \sqrt{2(9.8)(23.5)+13.6^2}

v_f = 25.4m/s

7 0
3 years ago
A spherical shell has inner radius 1.5 m, outer radius 2.5 m, and mass 850 kg, distributed uniformly throughout the shell. What
Nimfa-mama [501]

Answer:

The magnitude of the gravitational force is 4.53 * 10 ^-7 N

Explanation:

Given that the magnitude of the gravitational force is F = GMm/r²

mass M = 850 kg

mass m = 2.0 kg

distance d = 1.0 m , r = 0.5 m

F = GMm/r²

Gravitational Constant G = 6.67 × 10^-11 Newtons kg-2 m2.

F = (6.67 × 10^-11 * 850 * 2)/0.5²

F = 0.00000045356 N

F = 4.53 * 10 ^-7 N

3 0
3 years ago
Other questions:
  • What is a race car's
    15·1 answer
  • Which of the following terms refers to the shortest length from a starting
    14·1 answer
  • When the tube is filled with mercury vapor, as in this case, a sharp drop in the collected current is observed when the accelera
    10·1 answer
  • Nichrome wire, often used for heating elements, has resistivity of 1.0 × 10-6 Ω ∙ m at room temperature. What length of No. 30 w
    10·1 answer
  • What is photosynthesis​
    7·2 answers
  • What do we call the principal SI units that are used to derive all other SI units? Question 3 options:
    6·1 answer
  • One way to measure g on another planet or moon by remote sensing is to measure how long it takes an object to fall a given dista
    9·1 answer
  • A homodimeric protein was found to migrate through SDS polyacrilamide gel electrophoresis (SDS-PAGE) with a mobility that matche
    12·1 answer
  • What is this feature?
    10·1 answer
  • Hans Full is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and rightwards with a force of 22
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!