Ampère's Law
Practice
practice problem 1
Use the Biot-Savart law to determine the magnetic field strength…
- a distance r away from an infinitely long current carrying wire
- a distance x away from a loop of current with radius a (on the axis of the loop).
- anywhere inside a solenoid with n turns per unit length
solution
These problems were solved in the discussion page of this topic. Here are the results once more without any detail.
practice problem 2
Use Ampére's law to determine the magnetic field strength…
- a distance r away from an infinitely long current carrying wire
- anywhere on either side of an infinite, flat sheet with a surface current density σ
- inside a solenoid with n turns per unit length
- inside a toroid (a toroidal solenoid) with a total of N turns
- inside a wire of radius R at any distance r from its axis
solution
These problems were solved in the discussion page of this section. No need to write them out in full again. Here's a summary of the results.
- a distance r away from an infinitely long current carrying wire
[straight wire with amperean path goes here]
B = μ0I 2πr - anywhere on either side of an infinite, flat sheet with a surface current density σ
[infinite sheet with amperean path goes here]
B = μ0σ 2 - anywhere inside a solenoid with n turns per unit length
[solenoid with amperean path goes here]
B = μ0nI
- anywhere inside a toroid (a toroidal solenoid) with a total of N turns
[toroid with amperean path goes here]
B = μ0NI 2πr - inside a wire of radius R at any distance r from its axis
[amperean path inside a wire goes here]
Inside a wire with total current I.
B = μ0Ir 2πR2 Inside a wire with uniform current density ρ.
B = μ0ρr 2
practice problem 3
Write something.
solution
Answer it.
practice problem 4
Write something completely different.
solution
Answer it.