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Ch 30: Sources of Magnetic FieldWorksheetSee all chapters

# Magnetic Field Produced by Loops and Solenoids

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Sections
Magnetic Field Produced by Moving Charges
Magnetic Field Produced by Straight Currents
Magnetic Force Between Parallel Currents
Magnetic Force Between Two Moving Charges
Magnetic Field Produced by Loops and Solenoids
Toroidal Solenoids aka Toroids
Biot-Savart Law (Calculus)
Ampere's Law (Calculus)

Concept #1: Magnetic Field Produced by Loops and Solenoids

Example #1: Find How Many Loops in a Solenoid

Transcript

Hey guys so let's check out this solenoid example. So here I want to know how many turns a solenoid is going to have, how many turns is the variable big N in solenoids not to be confused with little n, so big N Is the number of turns a 2 meter long solenoid meaning the length of the solenoid the sort of sideways length this L is 2 meters in order to produce a 0.4 T magnetic field, B=0.4T when a 3A current is run through it. So when a current I = 3A is run through it is there an equation that relates all these variables, of course there is and thatÕs the equation for the magnetic field through the center of the solenoid, B = _not I N over L weÕre looking for N so I can just move some stuff around, N=BL divided by _not I and B is 0.4 length is 2 _not is 4pi times 10 to the negative 7 and the current is 3A and if you multiply all of these, I have it here, youÕre gonna get, I havenÕt rounded, youÕre gonna get 2 times 10 to the 5th terms thatÕs the value for N which means by the way that youÕre gonna have 200,000 turns, thatÕs what you need to have to make this happen. Cool. LetÕs keep this one, letÕs keep going.

Practice: The single loop below has a radius of 10 cm and is perpendicular to the page (shown at a slight angle so you can better visualize it). If the magnetic field at the center is 10-6 T directed left, what is the magnitude of the current? What is the direction of the current at the top of the wire: into the page or out of the page?

Example #2: Designing a Solenoid (Total Length of Wire)

Transcript