<span>Cells with similar preferences are arranged closer together in the auditory cortex. </span>That statement presented is True. Auditory cortex is in the temporal lobe. It processes auditory information in human and as well as other invertebrates. The neurons inside the auditory cortex are organized depends on the frequency of the sound.
Answer:
![E_y=1175510.2\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D1175510.2%5C%20N.C%5E%7B-1%7D)
The Magnitude of electric field is in the upward direction as shown directly towards the charge
.
Explanation:
Given:
- side of a square,
![a=52.5\ cm](https://tex.z-dn.net/?f=a%3D52.5%5C%20cm)
- charge on one corner of the square,
![q_1=+45\times 10^{-6}\ C](https://tex.z-dn.net/?f=q_1%3D%2B45%5Ctimes%2010%5E%7B-6%7D%5C%20C)
- charge on the remaining 3 corners of the square,
![q_2=q_3=q_4=-27\times 10^{-6}\ C](https://tex.z-dn.net/?f=q_2%3Dq_3%3Dq_4%3D-27%5Ctimes%2010%5E%7B-6%7D%5C%20C)
<u>Distance of the center from each corners</u>![=\frac{1}{2} \times diagonals](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20diagonals)
![diagonal=\sqrt{52.5^2+52.5^2}](https://tex.z-dn.net/?f=diagonal%3D%5Csqrt%7B52.5%5E2%2B52.5%5E2%7D)
![diagonal=74.25\cm=0.7425\ m](https://tex.z-dn.net/?f=diagonal%3D74.25%5Ccm%3D0.7425%5C%20m)
∴Distance of center from corners, ![b=0.3712\ m](https://tex.z-dn.net/?f=b%3D0.3712%5C%20m)
Now, electric field due to charges is given as:
![E=\frac{1}{4\pi\epsilon_0}\times \frac{q}{b^2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B4%5Cpi%5Cepsilon_0%7D%5Ctimes%20%5Cfrac%7Bq%7D%7Bb%5E2%7D)
<u>For charge
we have the field lines emerging out of the charge since it is positively charged:</u>
![E_1=9\times 10^9\times \frac{45\times 10^{-6}}{0.3712^2}](https://tex.z-dn.net/?f=E_1%3D9%5Ctimes%2010%5E9%5Ctimes%20%5Cfrac%7B45%5Ctimes%2010%5E%7B-6%7D%7D%7B0.3712%5E2%7D)
<u>Force by each of the charges at the remaining corners:</u>
![E_2=E_3=E_4=9\times 10^9\times \frac{27\times 10^{-6}}{0.3712^2}](https://tex.z-dn.net/?f=E_2%3DE_3%3DE_4%3D9%5Ctimes%2010%5E9%5Ctimes%20%5Cfrac%7B27%5Ctimes%2010%5E%7B-6%7D%7D%7B0.3712%5E2%7D)
<u> Now, net electric field in the vertical direction:</u>
![E_y=E_1-E_4](https://tex.z-dn.net/?f=E_y%3DE_1-E_4)
![E_y=1175510.2\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D1175510.2%5C%20N.C%5E%7B-1%7D)
<u>Now, net electric field in the horizontal direction:</u>
![E_y=E_2-E_3](https://tex.z-dn.net/?f=E_y%3DE_2-E_3)
![E_y=0\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D0%5C%20N.C%5E%7B-1%7D)
So the Magnitude of electric field is in the upward direction as shown directly towards the charge
.
Answer:
S = 2 π R
R (mean) = 92.9E6 miles
S = 2 * 3.14 * 92.9E6 miles = 5.84E8 miles