Respuesta :
Answer:
The current in the rods is 171.26 A.
Explanation:
Given that,
Length of rod = 0.85 m
Mass of rod = 0.073 kg
Distance [tex]d = 8.2\times10^{-3}\ m[/tex]
The rods carry the same current in the same direction.
We need to calculate the current
I is the current through each of the wires then the force per unit length on each of them is
Using formula of force
[tex]\dfrac{F}{L}=\dfrac{\mu_{0}I^2}{2\pi d}[/tex]
[tex]\dfrac{mg}{L}=\dfrac{\mu_{0}I^2}{2\pi d}[/tex]
Where, m = mass of rod
l = length of rod
Put the value into the formula
[tex]I^2=\dfrac{mgd}{\mu L}[/tex]
[tex]I^2=\dfrac{0.073\times9.8\times8.2\times10^{-3}}{2\times10^{-7}}[/tex]
[tex]I=\sqrt{29331.4}[/tex]
[tex]I=171.26\ A[/tex]
Hence, The current in the rods is 171.26 A.
