How Is Ampere's Law Applied to Calculate Magnetic Fields?

AI Thread Summary
Ampere's Law is not applicable for calculating the magnetic field of a short conductor, such as a 3.5 cm wire carrying 1.8 A of current. Instead, the Biot-Savart Law should be used to determine the magnetic field's magnitude, depending on the specific location where it is evaluated. The problem's wording could imply that the wire is long, with the distance of 3.5 cm referring to a point of interest from the wire. Clarification on the context and parameters is essential for accurate application of the relevant laws. Understanding these distinctions is crucial for solving magnetic field problems effectively.
This Is Me
Messages
5
Reaction score
1
Homework Statement
What is the magnitude of a magnetic field from a 3.5 cm straight conductor with a current of 1.8 A?
Relevant Equations
∫B.dl = μ0I
(I accidentally missed my lesson and I don't know how to apply this question to the formula)
 
Physics news on Phys.org
Welcome to PF.

Even if you missed the lesson, you need to show some effort before we can offer tutorial help. What have you found in your searching so far? Have you looked this up on Hyperphysics? Have you read over the lesson notes? Which textbook are you using?
 
berkeman said:
Welcome to PF.

Even if you missed the lesson, you need to show some effort before we can offer tutorial help. What have you found in your searching so far? Have you looked this up on Hyperphysics? Have you read over the lesson notes? Which textbook are you using?
I got some help, thanks though.
 
This Is Me said:
I got some help, thanks though.
I cannot imagine what kind of help you got. The statement of the problem is
This Is Me said:
Homework Statement:: What is the magnitude of a magnetic field from a 3.5 cm straight conductor with a current of 1.8 A?
To me, it says that you have a conductor, most likely a wire, that is 3.5 cm long which carries a current of 1.8 A. In that case, Ampere's law is not applicable and you have to (a) use the law of Biot-Savart and (b) know where in space the magnitude of the field is to be calculated. Another interpretation could be that the conductor is a very long wire (not explicitly mentioned in the statement) and the point of interest is at a distance of 3.5 cm from it (also not explicitly stated).
 
  • Like
Likes Keith_McClary
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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}...
Back
Top