The velocity of an object determines if it is moving. If the velocity is zero, it is not moving. If it has a positive velocity, then it is moving forward. If it has a negative velocity, then it is moving backwards.
Answer:
![\rho=4.02\times 10^{-8}\ \Omega-m](https://tex.z-dn.net/?f=%5Crho%3D4.02%5Ctimes%2010%5E%7B-8%7D%5C%20%5COmega-m)
Explanation:
Let us assume that the radius of the wire, r = 0.8 mm = 0.0008 m
EMF of the battery, V = 12 V
Slope of I versus 1/d, m = 600 A-m
The resistance of any material is given by :
![R=\rho \dfrac{d}{A}](https://tex.z-dn.net/?f=R%3D%5Crho%20%5Cdfrac%7Bd%7D%7BA%7D)
d is the length of wire
Since, ![I=\dfrac{V}{R}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BV%7D%7BR%7D)
![I=\dfrac{VA}{\rho d}](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BVA%7D%7B%5Crho%20d%7D)
![I=\dfrac{VA}{\rho}.(\dfrac{1}{d})](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BVA%7D%7B%5Crho%7D.%28%5Cdfrac%7B1%7D%7Bd%7D%29)
![y=slope\times x](https://tex.z-dn.net/?f=y%3Dslope%5Ctimes%20x)
![\dfrac{VA}{\rho}=600](https://tex.z-dn.net/?f=%5Cdfrac%7BVA%7D%7B%5Crho%7D%3D600)
![\rho=\dfrac{VA}{600}](https://tex.z-dn.net/?f=%5Crho%3D%5Cdfrac%7BVA%7D%7B600%7D)
![\rho=\dfrac{12\times \pi \times (0.0008)^2}{600}](https://tex.z-dn.net/?f=%5Crho%3D%5Cdfrac%7B12%5Ctimes%20%5Cpi%20%5Ctimes%20%280.0008%29%5E2%7D%7B600%7D)
![\rho=4.02\times 10^{-8}\ \Omega-m](https://tex.z-dn.net/?f=%5Crho%3D4.02%5Ctimes%2010%5E%7B-8%7D%5C%20%5COmega-m)
So, the resistivity of the material of which the wire is made is
.
Answer:
Explanation:
Let the magnitude of magnetic field be B .
flux passing through the coil's = area of coil x field x no of turns
Φ = 3.13 x 10⁻⁴ x B x 135 = 422.55 x 10⁻⁴ B .
emf induced = dΦ / dt , Φ is magnetic flux.
current i = dΦ /dt x 1/R
charge through the coil = ∫ i dt
= ∫ dΦ /dt x 1/R dt
= 1 / R ∫ dΦ
= Φ / R
Total resistance R = 61.1 + 44.4 = 105.5 ohm .
3.44 x 10⁻⁵ = 422.55 x 10⁻⁴ B / 105.5
B = 3.44 x 10⁻⁵ x 105.5 / 422.55 x 10⁻⁴
= .86 x 10⁻¹
= .086 T .
The unit of acceleration would be m/s² :)