I
iTeachChem2mo ago
nori

magnetics: ampere law

I have trouble understanding the sign in this problem. I got mu0i/4 but how do we know whether it's positive/negative? Ans key ke acc the ans is correct but has a negative sign.
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18 Replies
iTeachChem Helper
Thank you for your response @ns. @Gyro Gearloose
iTeachChem Helper
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
nori
noriOP2mo ago
i completed the amperian loop like this
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nori
noriOP2mo ago
and obv since the field is perpendicular to those red lines, b.dl for those lines will be 0 which means b.dl from a to b is mu0/2pi times the angle which is pi/2 rad can someone plss help
integralofe^2v
integralofe^2v2mo ago
as u can see in image the M.F. lines are in a ciruclr pattern which goes from B pont to A point but question asks line integral from A to B so there will be a negative sign
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nori
noriOP2mo ago
ohhh okay thanks a lot @integralofe^2v i get it
CorrodedCoffin
CorrodedCoffin2mo ago
wait dont close
CorrodedCoffin
CorrodedCoffin2mo ago
Why can't we do this
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CorrodedCoffin
CorrodedCoffin2mo ago
initially i got the same ans as u with sign but then this striked me
CorrodedCoffin
CorrodedCoffin2mo ago
approximation ??
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CorrodedCoffin
CorrodedCoffin2mo ago
@integralofe^2v
nori
noriOP2mo ago
the problem is probably cuz u cant take dx as rdtheta?
CorrodedCoffin
CorrodedCoffin2mo ago
dx= rdtheta seems a bit wrong the ans does match tho
nori
noriOP2mo ago
yeah like the perpendicular u draw on it will be rdtheta.. i guess an additional cos theta component will be there
integralofe^2v
integralofe^2v2mo ago
yes using dx=rdtheta is wrong here its a straight line not curved or anything
CorrodedCoffin
CorrodedCoffin2mo ago
hmm
nori
noriOP2mo ago
+solved @integralofe^2v
iTeachChem Helper
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