The related concept to solve this exercise is given in the expressions that the magnetic field has both as a function of the number of loops, current and length, as well as inductance and permeability. The first expression could be given as,

The magnetic field H is given as,

$H = \frac{nI}{l}$

Here,

n = Number of turns of the coil

I = Current that flows in the coil

l = Length of the coil

From the above equation, the number of turns of the coil is,

$n = \frac{Hl}{I}$

The magnetic field is again given by,

$H = \frac{B}{\mu_t}$

Where the minimum inductance produced by the solenoid coil is B.

We have to obtain n, that

$n = \dfrac{\frac{B}{\mu_t}l}{I}$

Replacing with our values we have that,

$n = \dfrac{\frac{1.1Wb/m^2 }{200000}(2m)}{4mA}$

$n = \dfrac{(\frac{1.1Wb/m^2 }{200000})(\frac{10^4 guass}{1Wb/m^2})(2m)}{4mA(\frac{10^{-3}A}{1mA})}$

$n = 27.5 \approx 28$

Therefore the number of turn required is 28Truns

4 0

3 years ago

The speed of a moving bullet can be deter-

Bad White [126]

Answer:

Explanation:

<u>Linear Speed</u>

The linear speed of the bullet is calculated by the formula:

$\displaystyle v=\frac{x}{t}$

Where:

x = Distance traveled

t = Time needed to travel x

We are given the distance the bullet travels x=61 cm = 0.61 m. We need to determine the time the bullet took to make the holes between the two disks.

The formula for the angular speed of a rotating object is:

$\displaystyle \omega=\frac{\theta}{t}$

Where θ is the angular displacement and t is the time. Solving for t:

$\displaystyle t=\frac{\theta}{\omega}$

The angular displacement is θ=14°. Converting to radians:

$\theta=14*\pi/180=0.2443\ rad$

The angular speed is w=1436 rev/min. Converting to rad/s:

$\omega = 1436*2\pi/60=150.3776\ rad/s$

Thus the time is:

$\displaystyle t=\frac{0.2443\ rad}{150.3776\ rad/s}$

t = 0.0016 s

Thus the speed of the bullet is:

$\displaystyle v=\frac{0.61}{0.0016}$

v = 381 m/s

7 0

2 years ago

Determine the electrical and gravitational forces that two protons in the nucleus of a helium atom exert on each other when sepa

jonny [76]

Answer:

Fe = 25.67 N

Fg = 2.0734 x 10^-35 N

Explanation:

r = 3 x 10^-15 m

G = 6.67 x 10^-11 Nm^2/kg^2

Mp = 1.6726231 x 10^-27 kg

Qp = 1.6021 x 10^-19 C

K = 9 x 10^9 Nm^2/C^2

The formula for the electrical force between the two protons is given by

$F = K \frac{Q_{p}\times Q_{p}}{r^{2}}$

$F = \frac{9\times 10^{9}\times 1.6021\times 10^{-19}\times 1.6021\times 10^{-19}}{3\times 10^{-15}\times 3\times 10^{-15}}$

Fe = 25.67 N

The formula for the gravitational force between the two protons is given by

$F = G \frac{M_{p}\times M_{p}}{r^{2}}$

$F = \frac{6.67\times 10^{-11}\times 1.6726231\times 10^{-27}\times 1.6726231\times 10^{-27}}{3\times 10^{-15}\times 3\times 10^{-15}}$

Fg = 2.0734 x 10^-35 N

4 0

3 years ago