Answer:
The allowed current in the cable is 1.15 A.
Explanation:
Given that,
Distance = 1.00 m
Suppose the magnetic field is
and if the experiment is to be accurate to 1.0 %
We need to calculate the current
Using formula of magnetic field


Put the value into the formula


If the experiment is to be accurate to 1.0%
Then,
We need to calculate the allowed current in the cable



Hence, The allowed current in the cable is 1.15 A.
Answer:

Explanation:
Some data in the problem are missing.
Missing values:
Radius of the cylinder: 13 cm
Height of the cylinder: 4 cm
The volume of a cylinder is given by

where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem, we have:
r = 13 cm (radius)
h = 4 cm (height)
Therefore, the volume of the cylinder is:

The work done by
along the given path <em>C</em> from <em>A</em> to <em>B</em> is given by the line integral,

I assume the path itself is a line segment, which can be parameterized by

with 0 ≤ <em>t</em> ≤ 1. Then the work performed by <em>F</em> along <em>C</em> is
![\displaystyle \int_0^1 \left(6x(t)^3\,\vec\imath-4y(t)\,\vec\jmath\right)\cdot\frac{\mathrm d}{\mathrm dt}\left[x(t)\,\vec\imath + y(t)\,\vec\jmath\right]\,\mathrm dt \\\\ = \int_0^1 (288(3t-1)^3-8(2t+5)) \,\mathrm dt = \boxed{312}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E1%20%5Cleft%286x%28t%29%5E3%5C%2C%5Cvec%5Cimath-4y%28t%29%5C%2C%5Cvec%5Cjmath%5Cright%29%5Ccdot%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Bx%28t%29%5C%2C%5Cvec%5Cimath%20%2B%20y%28t%29%5C%2C%5Cvec%5Cjmath%5Cright%5D%5C%2C%5Cmathrm%20dt%20%5C%5C%5C%5C%20%3D%20%5Cint_0%5E1%20%28288%283t-1%29%5E3-8%282t%2B5%29%29%20%5C%2C%5Cmathrm%20dt%20%3D%20%5Cboxed%7B312%7D)
The earth and moon are kept in their orbit because of gravity