Canceling Magnetic Field between two wires using an external force

AI Thread Summary
The discussion revolves around calculating the external magnetic field required to cancel the magnetic field between two parallel wires carrying equal and opposite currents of 20 A, separated by 0.019 m. The relevant equations include the formula for the magnetic field due to a current-carrying wire and the force between the wires. An initial calculation yielded a magnetic field of 0.084 Tesla, which was later deemed incorrect, leading to confusion about the required parameters, such as the wire radius. Participants seek clarification on the problem statement and assistance in resolving the calculation issue. The conversation highlights the complexities involved in magnetic field interactions and the need for precise parameters in physics problems.
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Homework Statement


Suppose that I1 = I2 = 20 A; currents are running opposite each other, and that the separation between the wires is 0.019 m. By applying an external magnetic field (created by a source other than the wires) it is possible to cancel the magnetic field at the position of each of the wires. This external field must point along the vertical direction. What is the magnitude of the external field?


Homework Equations


B= [(permeability of free space) times (current)]/ [(2 (pie) r)]
F(from wire 1 to 2)= I2 [(permeability of free space)I1]/[2 pie r] times L
Permeability of free space is 4 pie times 10-7 Ttimes m/A


The Attempt at a Solution

Working through this a plugged in current and separation between wires into the equation to find B. I got .084 Telsa. I found out this was the wrong answer and thought doubling it would get me the right answer, but it didn't. I wasn't given a radius for the wire so I don't know what to do. Can anyone help me?
 
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From what you wrote, I have no idea what the question is.

Please write out the problem statement exactly as it was given to you.
 
I have added the question by editing my initial information. If anyone can help me it would be greatly appreciated.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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