What is Ampรจre's Law?
Relates magnetic field strength to the current passing through a closed loop.
What is an Amperian Loop?
An imaginary closed path used to apply Ampรจre's law to calculate magnetic fields.
Define permeability of free space ($\mu_0$).
A constant that relates the magnetic field to the current that produces it in a vacuum.
What is electric flux?
A measure of the electric field passing through a given surface.
Define magnetic field strength.
The force exerted on a moving charge within a magnetic field, measured in Tesla (T).
What is a Solenoid?
A coil of wire wound into a tightly packed helix; when current runs through it, it creates a uniform magnetic field inside.
What are the steps to apply Ampรจre's Law?
1. Choose an Amperian loop. 2. Calculate the line integral of the magnetic field around the loop. 3. Determine the current enclosed by the loop. 4. Apply Ampรจre's Law equation.
How do you determine the net magnetic field from multiple sources?
1. Calculate the magnetic field due to each source. 2. Determine the direction of each magnetic field. 3. Add the magnetic field vectors, considering both magnitude and direction.
How do you calculate magnetic flux?
1. Determine the magnetic field (B). 2. Determine the area vector (A). 3. Calculate the dot product of B and A (Bโ
A). 4. Integrate over the surface if B is not uniform.
What are the steps to find the magnetic field inside a solenoid?
1. Choose an appropriate Amperian loop (rectangle). 2. Apply Ampรจre's law. 3. Simplify the integral using the symmetry of the solenoid. 4. Solve for the magnetic field (B = ฮผโnI).
How do you find the magnetic field around a long, straight wire?
1. Choose a circular Amperian loop around the wire. 2. Apply Ampรจre's law. 3. Evaluate the line integral. 4. Solve for the magnetic field (B = (ฮผโI) / (2ฯr)).
Label the following diagram of an Amperian loop around a wire.
1: Current-carrying wire, 2: Amperian loop, 3: Magnetic field direction, 4: Radius (r)