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scoundrel [369]
3 years ago
15

Think of the rotating disk as a series of concentric rotating rings. Each ring acts as a circular current loop that produces a m

agnetic field at the center of the disk. Then integrate over all rings to find the total field. What is the expression for the magnetic field at the center of the single circular loop of radius r carrying current I
Physics
1 answer:
ioda3 years ago
8 0

Answer:

Explanation:

Let the current in the coil is i and the radius of the coil is r.

The magnetic field due to the single loop is given by

B = \frac{\mu_{0}}{4\pi}\frac{2i}{r}

where, i is the current in the circular loop and r is the radius of the loop. The direction of the magnetic field at the centre of loop is given by the Maxwell's right hand thumb rule.  

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Consider a Hydrogen atom with the electron in the n 8 shell. What is the energy of this system? (The magnitude of the ground sta
Shtirlitz [24]

Answer:

The energy of an electron in the 8th shell is given by:  -0.2125 eV

The number of subshells is:  8

The number of orbitals is:  64

The number of electrons that fit on this shell is: 128

Explanation:

First, we find the energy of the electrons in the 8th shell. In order to do this, we recall that the energy of an electron (in the Hydrogen atom) whose principal number is n is given by:

E_{n}=-13.6\frac{1}{n^{2}}

Substituting n=8, we find that the energy is given by:

E_{8} = -13.6\frac{1}{8^{2}}=-0.2125

In order to find the number of subshells we recall that, for a given principal quantum number n, the possible values of the quantum number l, which corresponds to the number of subshells are:

0, 1, 2, ... , n-1

Since n = 8 in our problem, the possible values of l are: 0, 1, 2, 3, 4, 5, 6, 7. Therefore, the number of subshells are 8.

Now we continue with the number of orbitals. For every subshell l, we have 2l+1 possible values of m, which correspond to the orbitals. Since the possible values of l are: 0,1,2,3,4,5,6,7, therefore, we have to perform the sum:

\sum_{l=0}^{7}(2l+1) = 8^2=64

And we can conclude that the number of orbitals is equal to 64.

Finally, we know that we can fit two electrons per orbital, therefore we can have 64*2 = 128 electrons in the shell corresponding to n=8.

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3 years ago
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