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Lunna [17]
3 years ago
13

Identify the procedure to determine a formula for self-inductance, or inductance for short. Using the formula derived in the tex

t, find the inductance in henries for a solenoid with 1500 loops of wire wound on a rod 13 cm long with radius 4 cm.
Physics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

L = 0.109 H

Explanation:

Given that,

Number of loops in the solenoid, N = 1500

Radius of the wire, r = 4 cm = 0.04 m

Length of the rod, l = 13 cm = 0.13 m

To find,

Self inductance in the solenoid

Solution,

The expression for the self inductance of the solenoid is given by :

L=\dfrac{\mu_o N^2 A}{l}

L=\dfrac{4\pi \times 10^{-7}\times (1500)^2\times \pi (0.04)^2}{0.13}

L = 0.109 H

So, the self inductance of the solenoid is 0.109 henries.

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A 2.0-kg mass is oscillating about the origin at 24 rad/s. The amplitude of the oscillations is 0.040 m. At what position is the
Darya [45]

Answer:

0.0327 m

Explanation:

m = 2 kg

ω = 24 rad/s

A = 0.040 m

Let at position y, the potential energy is twice the kinetic energy.

The potential energy is given by

U = 1/2 m x ω² x y²

The kinetic energy is given by

K = 1/2 m x ω² x (A² - y²)

Equate both the energies as according to the question

1/2 m x ω² x y² = 2 x 1/2 m x ω² x (A² - y²)

y² = 2 A² - 2 y²

3y² = 2A²

y² = 2/3 A²

y = 0.82 A = 0.82 x 0.040 = 0.0327 m

4 0
3 years ago
A student uses an audio oscillator of adjustable frequency to measure the depth of a water well. The student reports hearing two
katrin [286]

Answer:

a)     L = 33.369 m , b) 21

Explanation:

The analysis of the ocean depth can be performed assuming that at the bottom of the ocean there is a node and the surface must have a belly, so the expression for resonance is

         λ = 4 L / n

         n = 1, 3, 5, ...

The speed of the wave is

         v = λ f

        v = 4L / n f

        L = n v / 4f

Let's write the expression for the two frequencies

       L = n₁ 343/4 53.95

       L = n₁ 1,589

       

       L = n₂ 343/4 59

       L = n₂ 1.4539

Let's solve the two equations

       n₁ 1,589 = n₂ 1,459

       n₁ / n₂ = 1.4539 / 1.589

       n₁ / n2 = 0.91498

Since the two frequencies are very close the whole numbers must be of consecutive resonances, let's test what values ​​give this value

  n₁    n₂    n₁ / n₂

  1      3       0.3

  3     5       0.6

  5     7        0.7

  7     9        0.77

  9    11        0.8

  17   19       0.89

  19  21        0.905

  21  23       0.913

  23 25       0.92

Therefore the relation of the nodes is n₁ = 21  and n₂ = 23

Let's calculate

                L = n₁ 1,589

                L = 21  1,589

                L = 33.369 m

b) the number of node and nodes is equal therefore there are 21 antinode

4 0
3 years ago
Which of the following has kinetic energy? (1 point)
mr_godi [17]

Ans:

C

Explanation:

because it is moving down the stairs

7 0
2 years ago
Why is it good practice for scientists to repeat trails
tensa zangetsu [6.8K]
It makes the data thet they collect more reliable so if they need the data again, they have already tested it a few times so therefor they know that it is right.
8 0
3 years ago
How long will it take to travel 200 m traveling at 10 m/s? Follow example below.
polet [3.4K]

Answer:

variables  - d = 200m \: v = 10 m {s}^{ - 1}  \\ equation \:   - v =  \frac{d}{t}  \\ 10 = \frac{200}{t}  \\ cross \: multiply \\ 10t = 200 \\  \frac{10t}{10}  =   \frac{200}{10}  \\ t = 20s

It will take 10 seconds to travel 200m at a speed of 10m/s

Explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

4 0
2 years ago
Read 2 more answers
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