Mathematics: Choose the best description for the real number 34 over 3. irrational, because it is a fraction irrational, because it is a repeating decimal rational, because it is a fraction rational, because it is a terminating decimal  question 2(multiple choice worth 4 points) convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0. 5 and 764 over 999 5764 over 5 and 764 over 99 5 and 999 over 764  question 3(multiple choice worth 4 points) which mathematical symbol would best

Choose the best description for the real number 34

atlasthegoat

19.09.2020

The line charge density is $1.59\times10^{-4}\ C/m$

Explanation:

Given that,

Diameter = 2.54 cm

Distance = 19.6 m

Potential difference = 115 kV

We need to calculate the line charge density

Using formula of potential difference

V=EA

$V=\dfrac{\lambda}{2\pi\epsilon_{0}r}\times\pi r^2$

$\lambda=\dfrac{V\times2\epsilon_{0}}{r}$

Where, r = radius

V = potential difference

Put the value into the formula

$\lambda=\dfrac{115\times10^{3}\times2\times8.8\times10^{-12}}{1.27\times10^{-2}}$

$\lambda=1.59\times10^{-4}\ C/m$

Hence, The line charge density is $1.59\times10^{-4}\ C/m$

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