Question

Transcribed Image Text:You know that Wires 1 and 2 are a distance, d = 0.81 m, apart and that
they carry the same current, I = 18.7 A, in opposite directions.
You also know that Wires 2 and 3 are a distance, x = 2.43 m, apart.
What you don't know, but really need to find out, is...
"How much current flows through Wire 3 -- and which way?"
You would just measure the current, if your ammeter wasn't broken.
Then you remembered the magnetometer that the Tooth Fairy left
under your pillow last year, and realized that you could deduce the
current in Wire 3 from the measured magnetic field strength!
A and it flows ---Select---
---Select---
up
down
(b) Calculate the magnetic force per unit le left
right
N/m
into the page
out of the page
FB on 3
L
(c) Will Wire #3 be attracted or repelled by the other two?
n the new wire.
attract
repel
up
left
out
(a) Using the magnetometer, you determined that the magnetic field midway between Wires 2 and 3 was 2.9 μT,
and that it pointed straight upwards. What then is the size and direction of the current flowing through wire 3?
13 =
right
down
d
--x--
wire 1
wire 2
wire 3

Transcribed Image Text:You know that Wires 1 and 2 are a distance, d = 0.81 m, apart and that
they carry the same current, I = 18.7 A, in opposite directions.
You also know that Wires 2 and 3 are a distance, x = 2.43 m, apart.
What you don't know, but really need to find out, is...
"How much current flows through Wire 3 -- and which way?"
You would just measure the current, if your ammeter wasn't broken.
Then you remembered the magnetometer that the Tooth Fairy left
under your pillow last year, and realized that you could deduce the
current in Wire 3 from the measured magnetic field strength!
(b) Calculate the magnetic force per unit length that acts on the new wire.
FB on 3
L
N/m
(c) Will Wire #3 be attracted or repelled by the other two?
O attract
out
repel
I
right
(a) Using the magnetometer, you determined that the magnetic field midway between Wires 2 and 3 was 2.9 μT,
and that it pointed straight upwards. What then is the size and direction of the current flowing through wire 3?
13 =
A and it flows --Select---
down
X
wire 1
wire 2
wire 3
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Step 1: Given information
VIEW Step 2: Calculate the magnetic field components of wires 1 and 2 at the point midway between wires 2 and 3
VIEW Step 3: Determining directions of magnetic field components of wires 1 and 2 and the net magnetic field
VIEW Step 4: Determining current in wire 3
VIEW Step 5: Calculating magnetic force on wire 3
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