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Ch 30: Sources of Magnetic FieldWorksheetSee all chapters

# Magnetic Force Between Parallel Currents

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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 Force Between Parallel Currents

Transcript

Hey guys in this video we're gonna talk about the magnetic force between two parallel currents, let's check it out.

Hey, so two things to remember first if you have a current carrying wire, a wire that has current, it will produce a magnetic field around itself. So you got a wire, its got current, it produces a magnetic field around itself, but if you have a wire that has current and it sits on existing magnetic field, someone else's magnetic field, it will field a force. So you produce your own but if you sit in someone else's, you also field force. Okay. And the equations for these, you've seen them before, are that the magnetic field that your produce is _not I divided by 2 Pi r and the force that you field is BILsin_. Cool. Those two things are old news but they combine into an interesting conclusion here which is if you have two parallel currents like here, you gonna have to have a mutual force between them, so let's check this out. Let's see you have a current I1 going up and a current I2 going up where gonna put them in the same direction for the sake of this illustration and what's gonna happen is, a current will produce a magnetic field away from itself. And the direction of the magnetic field that distributes is given by the right hand rule. So here's my wire then grab my wire like you always grab wires and my current is gonna go up like this, so my hand is going into the page over here, do this yourself, right, so you can confirm. My hand is going into the page on the right side and out of the page on the left. So that means that I1 is gonna look like this, into the page your gonna have a B1 and out of the page you're gonna have a B1 here due to that current. I choose the same direction also going up to also gonna have a B2, you're gonna have a B2 due to the second wire, on the right going into the page and to the left of that wire