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GalinKa [24]
3 years ago
7

Suppose I have a circular loop of wire with radius R. I run a current I through the loop and measure a magnetic field B at the c

enter of the wire. If I double the radius of the wire and triple the current in the wire, what is the new magnetic field at the center of the wire
Physics
1 answer:
just olya [345]3 years ago
3 0

Explanation:

The magnetic field at the center of the wire is given by :

B=\dfrac{\mu_oI}{2r}

Here,

I is current flowing throgh the loop

r is the radius of loop

If the radius of the wire is doubled and the current is tripled, then new magnetic field is given by :

B'=\dfrac{\mu_oI'}{2r'}\\\\B'=\dfrac{\mu_o(3I)}{2(2r)}\\\\B'=\dfrac{3}{2}\times \dfrac{\mu_oI}{2r}\\\\B'=\dfrac{3}{2}\times B

So, the new value of magnetic field gets 3/2th of the initial magnetic field.

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A train whose proper length is 1200 m passes at a high speed through a station whose platform measures 900 m, and the station ma
TiliK225 [7]

Answer:

0.66c

Explanation:

Use length contraction equation:

L = L₀ √(1 − (v²/c²))

where L is the contracted length,

L₀ is the length at 0 velocity,

v is the velocity,

and c is the speed of light.

900 = 1200 √(1 − (v²/c²))

3/4 = √(1 − (v²/c²))

9/16 = 1 − (v²/c²)

v²/c² = 7/16

v = ¼√7 c

v ≈ 0.66 c

6 0
3 years ago
A 50 kg astronaut floating in space throws her 2 kg wrench to the left at 10
Hoochie [10]

The astronaut will move at 0.4 m/s in the opposite direction to the wrench

Explanation:

We can solve this problem by using the law of conservation of momentum. In fact, the total momentum of the astronaut-wrench system must be conserved before and after the launch.

Before the launch, the total momentum is zero, since the astronaut is at rest:

p = 0 (1)

After the launch, the total momentum is:

p=mv+MV (2)

where :

m = 2 kg is the mass of the wrench

v = 10 m/s is the velocity of the wrench

M = 50 kg is the mass of the astronaut

V is the recoil velocity of the astronaut

Since momentum is conserved, we can write (1) = (2), and so we can solve for V:

0=mv+MV\\V=-\frac{mv}{M}=-\frac{(2)(10)}{50}=-0.4 m/s

And the negative sign means that the astronaut will move in the opposite direction to the wrench.

Learn more about conservation of momentum:

brainly.com/question/7973509

brainly.com/question/6573742

brainly.com/question/2370982

brainly.com/question/9484203

#LearnwithBrainly

8 0
3 years ago
An aquarium open at the top has 30-cm-deep water in it. You shine a laser pointer into the top opening so it is incident on the
Setler [38]

Answer:

You must add 8cm of water to the tank

Explanation:

In order to find how much the height is we will use the Snell Refraction law

.

This law relates the index of refraction of the water (n2), the index of refraction of the air (n1), the incidence angle relative to the vertical (theta1) and the refraction angle relative to the vertical (theta2) by using the next equation:

(n1)*(sin(theta1))=(n2)*(sin(theta2))

Then we will find the refraction angle relative to the vertical this way:

(n1/n2)*(sin(theta1))=sin(theta2)

(1/1.33)*(sin(45))=sin(theta2)

Then, theta2=32.12°

Now that we have this information we can imagine a triangle with a 30cm height and a 32.12° angle. This way we can find how much X is, this X will be the distance between the vertical line and the spot the beam hits the bottom, so we can use some trigonometry to find it, this way:

tan(32.12)=(X/30cm)

X=(tan(32.12))*(30cm)

Then, X=18.8cm, we can approximate it to 19cm

Once we have X we will add 5cm to it which is how much the beam needs to be moved, then the new X will be 24cm

Now, with the new horizontal distance we will find the new vertical distance, let´s call it Y, this way we will know how much water we must add to move the beam, then we will have a triangle with a vertical distance called Y, the same 32.12° angle will be used as we are still working with the air-water interface and a 19cm horizontal distance, then:

tan(32.12)=(24cm/Y)

Y=(24cm/tan(32.12))

Then, Y=38cm

In this case, you must add 8cm of water to the tank to move the beam on the bottom 5cm

5 0
3 years ago
A solid metal ball and a hollow plastic ball of the same external radius are released from rest in a large vacuum chamber. When
S_A_V [24]

Answer:

time of fall and the final velocity

Explanation:

the mass of solid ball is more than the mass of hollow ball.

According to the third equation of motion

v² = u² + 2gh

As the final velocity v does not depend on the mass of the object, so the final velocity of both the ball is same.

According to the first equation of motion

v = u + gt

As v is same for both the balls, the time is also same for both the balls.

So, they both have same time of fall and final velocity.

5 0
2 years ago
Energy can be described in many ways. From the list below, what is the best definition of energy?
max2010maxim [7]

the strength and vitality required for sustained physical or mental activity.

"changes in the levels of vitamins can affect energy and well-being"

synonyms: vitality, vigor, life, liveliness, animation, vivacity, spirit, spiritedness, verve, enthusiasm, zest, vibrancy, spark, sparkle, effervescence, ebullience, exuberance, buoyancy, sprightliness; More

2.

power derived from the utilization of physical or chemical resources, especially to provide light and heat or to work machines.

Have a great day ~Matya

8 0
2 years ago
Read 2 more answers
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