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AP Physics 2: 1.3 Object Interaction and Forces 175 Views


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AP Physics 2: 1.3 Object Interaction and Forces. What is the magnitude of the current L in the wire?

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Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:05

Brought to you by pigeons keeping statue cleaners employed worldwide's

00:11

by study count pigeons react to magnetic fields Scientists discovered

00:15

the pigeons could sense the earth's magnetic field with their

00:18

beaks This allows them to navigate over long distances which

00:22

is perfect for migration seasons you got following figure This

00:27

shows a simplified experiment The magnetic field is produced by

00:31

a long straight wire And the pigeons beak is treated

00:34

as a point charge of plus ten e at a

00:37

distance of six centimetres from the wire with the point

00:40

charge has a velocity of five meters per second and

00:43

is subject to a magnetic force of four times ten

00:46

to the negative Twenty second newtons what's the magnitude of

00:50

the current l in the wire His s subzero is

00:54

approximately twelve times ten to the negative seventh newtons per

00:57

ampere square and hear the potential answer Six Twelve eighteen

01:00

Twenty four a Wow Pigeons are more impressive than we

01:04

thought Well maybe we should stop calling them flying garbage

01:07

rats That seems kind of disrespect We need an equation

01:11

to find the current in this wire and we need

01:13

to figure it out from outside the wire itself Based

01:16

off of the magnetic field the current creates around the

01:19

wire Let's Scroll through the equations We have crammed into

01:23

our brain to see what would work Well The best

01:26

equation that used for this is the equation for the

01:28

magnitude of a magnetic field which equals that constant of

01:32

vacuum permitted ity times the current divided by two pi

01:38

times Distance Yeah all right But to use this equation

01:41

we first have to find the magnitude of the field

01:44

more scrolling Sometimes it feels like if we memorize one

01:47

more equation we won't have enough power left over to

01:50

remember our own name Okay we can use the equation

01:53

for the force of a magnetic field that equals charge

01:56

times velocity times the magnitude of the magnetic field right

02:00

there and with a little algebraic crust o change Oh

02:03

we see that the magnitude of the field equals the

02:06

force divided by the charge times the velocity Now we

02:10

have two equations that both equal the magnitude of the

02:13

magnetic field which means the equations also each other And

02:18

we can rearrange the equation to solve for the current

02:21

Well finally we can plug in the numbers and do

02:23

some math But hold on let's make things easy on

02:26

ourselves with a little rounding fir e the unit of

02:29

charge will round that up to two times ten to

02:32

the negative nineteenth coolum And for pie will round that

02:36

down to three Okay we can't stand me into his

02:39

patient any longer Let's all this already the current equals

02:42

two times pi three times the distance six times ten

02:47

to the negative second meters times the force which equals

02:51

four times ten to the negative twenty second newton's All

02:54

of that is divided by the quantity of charge ten

02:57

times two times ten to the negative nineteenth times the

03:01

velocity five meters per second time's the electric constant twelve

03:06

times ten to the negative seventh newtons per amber's square

03:11

But once we put all this together we find that

03:13

the current equals twelve amps making answer Be the winner

03:16

So we'll give credit where it's due pigeons have super

03:18

powered beaks Maybe that would be a cool superhero pigeon

03:22

boy able to sense magnetic fields with his known it 00:03:25.738 --> [endTime] is better than another spider man reboot Oh

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