The impulse given to the ball is equal to the change in its momentum:
J = ∆p = (0.50 kg) (5.6 m/s - 0) = 2.8 kg•m/s
This is also equal to the product of the average force and the time interval ∆t :
J = F(ave) ∆t
so that if F(ave) = 200 N, then
∆t = J / F(ave) = (2.8 kg•m/s) / (200 N) = 0.014 s
Answer:
Explanation:
Given that,
Number of extra electrons, n = 21749
We need to find the net charge on the metal ball. Let Q is the net charge.
We know that the charge on an electron is
To find the net charge if there are n number of extra electrons is :
Q = n × q
So, the net charge on the metal ball is
. Hence, this is the required solution.
Answer:
Here is the complete question:
https://www.chegg.com/homework-help/questions-and-answers/magnetic-field-372-t-achieved-mit-francis-bitter-national-magnetic-laboratory-find-current-q900632
a) Current for long straight wire ![=3.7\ MA](https://tex.z-dn.net/?f=%3D3.7%5C%20MA)
b) Current at the center of the circular coil ![=2.48\times 10^{5}\ A](https://tex.z-dn.net/?f=%3D2.48%5Ctimes%2010%5E%7B5%7D%5C%20A)
c) Current near the center of a solenoid ![236.8\ A](https://tex.z-dn.net/?f=236.8%5C%20A)
Explanation:
⇒ Magnetic Field due to long straight wire is given by (B),where
![\mu=4\pi \times 10^{-7}\ \frac{henry}{m}](https://tex.z-dn.net/?f=%5Cmu%3D4%5Cpi%20%5Ctimes%2010%5E%7B-7%7D%5C%20%5Cfrac%7Bhenry%7D%7Bm%7D)
Plugging the values,
Conversion
,and ![2cm=\frac{2}{100}=0.02\ m](https://tex.z-dn.net/?f=2cm%3D%5Cfrac%7B2%7D%7B100%7D%3D0.02%5C%20m)
![I=\frac{37.2\times \ 2\pi(0.02)}{4\ \pi \times (10^{-7})}=3.7\ MA](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B37.2%5Ctimes%20%5C%202%5Cpi%280.02%29%7D%7B4%5C%20%5Cpi%20%5Ctimes%20%2810%5E%7B-7%7D%29%7D%3D3.7%5C%20MA)
⇒Magnetic Field at the center due to circular coil (at center) is given by,![B=\frac{\mu\times I (N)}{2(a)}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Cmu%5Ctimes%20I%20%28N%29%7D%7B2%28a%29%7D)
So ![I= \frac{2B(a)}{\mu\ N} = \frac{2\times 37.2\times 0.42}{4\pi\times 10^{-7}\times 100}=2.48\time 10{^5}\ A](https://tex.z-dn.net/?f=I%3D%20%5Cfrac%7B2B%28a%29%7D%7B%5Cmu%5C%20N%7D%20%3D%20%5Cfrac%7B2%5Ctimes%2037.2%5Ctimes%200.42%7D%7B4%5Cpi%5Ctimes%2010%5E%7B-7%7D%5Ctimes%20100%7D%3D2.48%5Ctime%2010%7B%5E5%7D%5C%20A)
⇒Magnetic field due to the long solenoid,![B=\mu\ nI=\mu (\frac{N}{l})I](https://tex.z-dn.net/?f=B%3D%5Cmu%5C%20nI%3D%5Cmu%20%28%5Cfrac%7BN%7D%7Bl%7D%29I)
Then
So the value of current are
,
and
respectively.
Answer:
Resulting Change in the Magnetic Flux ![=0.013\:Wb](https://tex.z-dn.net/?f=%3D0.013%5C%3AWb)
Explanation:
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Answer:
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