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Dahasolnce [82]
3 years ago
14

9. The current i in a wire of circular cross section can be calculated from the current density, J, using the following equation

: i =  J dA. Given that the magnitude of the current density, J = (3 x 108 ) r2 amps/m2 For a wire with a radius of R = 2.00 mm what is the current in the outer section from r = 0.90 R to r = R?
Physics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

Explanation:

i = ∫J dA

A = πr²

dA = 2πr dr

i = ∫J 2πr dr

=  ∫3 x 10⁸ x  2πr³ dr

=3 x 10⁸ x  2π  ∫ r³ dr

integrating and taking limit from r = .9 R to R

3 x 10⁸ x  2π / 4 [ 2⁴ - .9⁴ x  2⁴] x (10⁻³)⁴

= 4.71  x 10⁸ x .3439 x 10⁻¹² x 2⁴

= 25.9  x 10⁻⁴ A

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A 14-Ω coffee maker and a 14-Ω frying pan are connected in series across a 120-V source of voltage. A 20-Ω bread maker is also c
Ann [662]

Answer:

The total current supplied by the source of voltage = 10.29 A

Explanation:

We have a 14-Ω coffee maker and a 14-Ω frying pan are connected in series.

Effective resistance = 14 + 14 = 28Ω

Now we have 28Ω and 20Ω in parallel

Effective resistance

             R=\frac{28\times 20}{28+20}=11.67\Omega

So we have resistor with 11.67Ω in a 120 V source of voltage.

We have equation V = IR

Substituting

               120 = I x 11.67

                 I = 10.29 A

The total current supplied by the source of voltage = 10.29 A

8 0
3 years ago
A person pushes horizontally with a force of 220. N on a 61.0 kg crate to move it across a level floor. The coefficient of kinet
Ede4ka [16]

Answer:

(a) 161.57 N

(b) 0.958 m/s^2

Explanation:

Force applied, F = 220 N

mass of crate, m = 61 kg

μ = 0.27

(a) The magnitude of the frictional force,

f = μ N

where, N is the normal reaction

N = m x g = 61 x 9.81 = 598.41 N

So, the frictional force, f = 0.27 x 598.41

f = 161.57 N

(b) Let a be the acceleration of the crate.

Fnet = F - f = 220 - 161.57

Fnet = 58.43 N

According to newton's second law

Fnet = mass x acceleration

58.43 = 61 x a

a = 0.958 m/s^2

Thus, the acceleration of the crate is 0.958 m/s^2.  

7 0
3 years ago
What is the name of the phenomenon that causes observed light from a star to change its wavelength?
blagie [28]

Answer: This is called the Doppler effect, where waves shift frequency and wavelength as the source travels towards you (higher frequency, shorter wavelength) or away from you (lower frequency, longer wavelength)

Explanation:

hoped this helped have a good day :)

5 0
3 years ago
State the law of conservation of momentum<br>​
trapecia [35]

Answer:

Law of conservation of momentum states that. For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

Explanation:

Hope it helps

8 0
3 years ago
Read 2 more answers
a water-balloon launcher with mass 4 kg fires a 0.5 kg balloon with a velocity of 3 m/s to the east. what is the recoil velocity
kotykmax [81]
I think we will use the law of conservation of linear momentum;
M1V1 = M2V2
M1 =  4 kg (mass of the water balloon launcher)
V1=?
M2= 0.5 kg ( mass of the balloon)
V2 = 3 m/s

Therefore; 4 V1 = 0.5 × 3
                   4V1= 1.5
                     V1= 1.5/4
                          = 0.375 m/s










5 0
3 years ago
Read 2 more answers
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