B: 1 trillion distributed across the universe. If I remember correctly.
Complete Question:
In the same configuration of the previous problem 3, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 13.5 cm. Each wire carries 7.50 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3.
a) Draw a diagram in a (x,y) plane of the four wires with wire 4 perpendicular to the origin. Indicate the current's directions.
b) Draw a diagram of all magnetic fields produced at the position of wire 3 by the other three currents.
c) Draw a diagram of all magnetic forces produced at the position of wire 3 by the other three currents.
d) What are magnitude and direction of the net magnetic force per meter of wire length on wire 3?
Answer:
force, 1.318 ₓ 10⁻⁴
direction, 18.435°
Explanation:
The attached file gives a breakdown step by step solution to the questions
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Answer:
see explanation
Explanation:
Given quantities:
radius = r = 0.0558 [m]
current = I = 0.23 [A]

Now we solve this by obtaining the torque acting on the dipole

We obtain the magnetic moment vector M, first, |M| is defined as
, where A is the cross-section area of the loop which is
then
![|M| = 0.23*0.00978 = 0.00225 [A/m^2]](https://tex.z-dn.net/?f=%7CM%7C%20%3D%200.23%2A0.00978%20%3D%200.00225%20%5BA%2Fm%5E2%5D)
now the magnetic moment vector is equal to the magnetic dipole moment vector multiplied the magnitude we just obtained

Now:
a ) 
b) 
a) the determinant gives us:

b) the dot product gives = ![-1*-7.2*10^{-6} = 7.2*10^{-6}[J]](https://tex.z-dn.net/?f=%20-1%2A-7.2%2A10%5E%7B-6%7D%20%3D%207.2%2A10%5E%7B-6%7D%5BJ%5D)
He should confront her about it and if after that point she continues report it to the chess team