I need answers for this wave unit

A solenoidal coil with 25 turns of wire is wound tightly aroundanother coil with 300 turns. The inner solenoid is 25.0 cm long a

Aneli [31]

Answer:

(a). The average magnetic flux through each turn of the inner solenoid is $5.68\times10^{-8}\ Wb$

(b). The mutual inductance of the two solenoids is $1.183\times10^{-5}\ H$

(c). The emf induced in the outer solenoid by the changing current in the inner solenoid is -0.0207 V.

Explanation:

Given that,

Number of turns of coil = 25

Number of turns of another coil = 300

Length = 25.0 cm

Diameter = 2.00 cm

Current = 0.120 A

Rate $\dfrac{di_{2}}{dt}=1.75\times10^{3}\ A/s$

(a). We need to calculate the magnetic field due to inner solenoid

Using formula of magnetic field

$B=\mu_{0}(\dfrac{N_{2}}{l})I$

Put the value into the formula

$B=4\pi\times10^{-7}\times(\dfrac{300}{0.25})\times0.120$

$B=1.81\times10^{-4}\ T$

We need to calculate the average magnetic flux through each turn of the inner solenoid

Using formula of magnetic flux

$\phi=B\cdot A$

Put the value into the formula

$\phi=1.81\times10^{-4}\times\pi\times (1.00\times10^{-2})^2$

$\phi=5.68\times10^{-8}\ Wb$

The average magnetic flux through each turn of the inner solenoid is $5.68\times10^{-8}\ Wb$

(b). We need to calculate the mutual inductance of the two solenoids

Using formula of mutual inductance

$M=\dfrac{N_{1}\phi}{i_{1}}$

Put the value into the formula

$M=\dfrac{25\times5.68\times10^{-8}}{0.120}$

$M=0.00001183\ H$

$M=1.183\times10^{-5}\ H$

The mutual inductance of the two solenoids is $1.183\times10^{-5}\ H$

(c). We need to calculate the emf induced in the outer solenoid by the changing current in the inner solenoid

Using formula of emf

$\epsilon=-M\dfrac{di_{2}}{dt}$

Put the value into the formula

$\epsilon=-1.183\times10^{-5}\times1.75\times10^{3}$

$\epsilon=-0.0207\ V$

The emf induced in the outer solenoid by the changing current in the inner solenoid is -0.0207 V.

Hence, (a). The average magnetic flux through each turn of the inner solenoid is $5.68\times10^{-8}\ Wb$

(b). The mutual inductance of the two solenoids is $1.183\times10^{-5}\ H$

(c). The emf induced in the outer solenoid by the changing current in the inner solenoid is -0.0207 V.

5 0

3 years ago

Put the following words in order from smallest to largest: atoms, matter, elements

WINSTONCH [101]

Answer:

Matter, atoms, elements.

Explanation:

Matter is just a name for anything that has mass and takes up space. Therefore, atoms are larger than matter. Atoms are the smallest bits of an element that are still that element, so, elements would be bigger than the atoms that come together to create them!

Hope this helps!

6 0

3 years ago

A speed skater moving across frictionless ice at 10.0 m/s hits a 5.0 m wide patch of rough ice. she slows steadily, then continu

Charra [1.4K]

To calculate the acceleration of the skater on the rough ice, we use the equation

$v^2= u^2 + 2as$

Here, u is initial speed when she hits the patch of ice and its value is 10 m/s and v is final speed when she left the patch of ice and its value is given 7.0 m/s and s is the width of patch of ice and its value is 5.0 m.

Substituting these values in above equation we get,

$(7 m/s) ^2 = (10 m/s)^2 + 2 a \times 5.0 m \\\\ a = \frac{(70 - 100)(m/s)^2 }{ 10 m} = 3.0 m/s^2$ .

Thus, the acceleration of skater on the rough ice is $3.0 m/s^2$

3 0

3 years ago

One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms. Assume that

Ierofanga [76]

Answer:

Force = 22508.86 N

Explanation:

Given:

Area of the window, A = 2.02 m²

Air pressure inside the house, P₁ = 1.02 atm

External air pressure, P₂ = 0.910 atm

Now, The difference in the pressure, ΔP = P₁ - P₂ = 1.02 - 0.910 = 0.11 atm

or

ΔP = 0.11 atm × (101300 Pa / 1 atm )

ΔP = 11143 Pascals

Now,

the Force is given as:

Force = Pressure × area

on substituting the values, we get

Force = 11143 Pa × 2.02 m²

or

Force = 22508.86 N

4 0

3 years ago

Suppose that one day, you woke up and could not see the color red. Identify how the American flag would look to you.

Greeley [361]

I guess since I couldn't see red, I might see the red stripes as white or maybe not even see them at all.

3 0

3 years ago