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mash [69]
3 years ago
13

Two toroidal solenoids are wound around the same form so that the magnetic field of one passes through the turns of the other. S

olenoid 1 has 690 turns and solenoid 2 has 450 turns. When the current in solenoid 1 is 6.60 A, the average flux through each turn of solenoid 2 is 3.50×10-2 Wb.
A: What is the mutual inductance of the pair of solenoids?

B: When the current in solenoid 2 is 2.60 A, what is the average flux through each turn of solenoid 1?
Physics
1 answer:
dedylja [7]3 years ago
8 0

The concept that we need here to give a proper solution is mutual inductance.

The mutual inductance  is given by the expression

M=\frac{N\Phi}{I}

Where,

I = current

N = Number of turns

\Phi =Flux through the solenoid.

Part A) Then we have in our values that,

I=6.6A

\Phi= 3.50*10^{-2}Wb

N=450

Replacing in the equation,

M = \frac{450*350*10^{-2}}{6.60}

M = 2.39H

Part B) Here is required the Flux, then using the same expression we have that

\Phi = \frac{IM'}{N}

We conserve the same value for the Inductance but now we have a current of 2.6, then

\Phi = \frac{2.6*2.39}{690}

\Phi = 9*10^{-3}Wb

Therefore the flux in Solenoid 1 is 9*10^{-3}Wb

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If the velocity is constant, then there is no acceleration. That is, the value of the acceleration is 0.

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Which type of force will an object move towards?
Makovka662 [10]

Answer:

i think it's weakest

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Explanation:

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4 0
2 years ago
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A baseball, which has a mass of 0.685 kg., is moving with a velocity of 38.0 m/s when it contacts the baseball bat duringwhich t
Evgen [1.6K]

Answers:

a) 65.075 kgm/s

b) 10.526 s

c) 61.82 N

Explanation:

<h3>a) Impulse delivered to the ball</h3>

According to the Impulse-Momentum theorem we have the following:

I=\Delta p=p_{2}-p_{1} (1)

Where:

I is the impulse

\Delta p is the change in momentum

p_{2}=mV_{2} is the final momentum of the ball with mass m=0.685 kg and final velocity (to the right) V_{2}=57 m/s

p_{1}=mV_{1} is the initial momentum of the ball with initial velocity (to the left) V_{1}=-38 m/s

So:

I=\Delta p=mV_{2}-mV_{1} (2)

I=\Delta p=m(V_{2}-V_{1}) (3)

I=\Delta p=0.685 kg (57 m/s-(-38 m/s)) (4)

I=\Delta p=65.075 kg m/s (5)

<h3>b) Time </h3>

This time can be calculated by the following equations, taking into account the ball undergoes a maximum compression of approximately 1.0 cm=0.01 m:

V_{2}=V_{1}+at (6)

V_{2}^{2}=V_{1}^{2}+2ad (7)

Where:

a is the acceleration

d=0.01 m is the length the ball was compressed

t is the time

Finding a from (7):

a=\frac{V_{2}^{2}-V_{1}^{2}}{2d} (8)

a=\frac{(57 m/s)^{2}-(-38 m/s)^{2}}{2(0.01 m)} (9)

a=90.25 m/s^{2} (10)

Substituting (10) in (6):

57 m/s=-38 m/s+(90.25 m/s^{2})t (11)

Finding t:

t=1.052 s (12)

<h3>c) Force applied to the ball by the bat </h3>

According to Newton's second law of motion, the force F is proportional to the variation of momentum  \Delta p in time  \Delta t:

F=\frac{\Delta p}{\Delta t} (13)

F=\frac{65.075 kgm/s}{1.052 s} (14)

Finally:

F=61.82 N

6 0
3 years ago
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Hatshy [7]

Answer:

20.2 seconds

Explanation:

The airplane (and therefore the crate) initially has no vertical velocity, so v₀ = 0 m/s.

The crate is in free fall, so a = -9.8 m/s².

The crate falls downward, so Δx = -2000 m.

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Δx = v₀ t + ½ at²

-2000 m = (0 m/s) t + ½ (-9.8 m/s²) t²

t = 20.2 s

It takes 20.2 seconds for the crate to land.

7 0
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