WEBVTT
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we don t r sequence are asked to show So
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wt to show that is equal. No, I
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divided by two All right on were also given that
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c is X squared plus y sprayer. And then
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what we do her amateur isa circle. We just
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set X equal to Broncos 90 and lies our site
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. And then So we want to change everything's of
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the integral along. See, if be not your
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we want to write everything in terms. Okay,
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so we take the derivative of far churches are running
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. And that way, get a derivative or co
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scientist, negative or scientist and the derivative of bar
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scientist, he's Park Coast. All right, so
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now what? We have to determine this big B
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or the magnetic. Well, we have to think
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about this for a little bit. So what?
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We know this is that the magnetic field it's gonna
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be Terran Jim to the to the curve. See
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? So basically, what we have is a wire
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. Then we have a plane, and we have
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circles are on this plane that we know that magnetic
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field be just like our primes. So that means
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being is going to be of the same four as
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our friends are. So our our our prime was
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negative for society and a comma Arco site. So
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since both are right and the are gonna be tension
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to the curb seat or the circle, it's going
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to be of the same form. So obvious.
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Negative sign T and a comma. Bi coastal.
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Thanks, but no, we put everything in,
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so we're gonna plug him. So now we're gonna
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plug into integral mercy of the adult. Uh,
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sorry. Uh, yeah. See, you need
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us. We are, and then we're gonna rewrite
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it Now, in terms of teeth, that's gonna
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be the integral from 0 to 2 pi from the
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our pride. All right, so he has just
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negative be scientific common close eye teeth and our our
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primes gonna be our sign T I'm sorry. Negative
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. Our society comma Arcos in and we take the
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dot product. So we get it's bor Stein Spirit
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t plus beyond concise for TV tea. We can
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take her. The Byars, the common factor.
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What we're left with is signed spire teeth. Bus
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goes for team, which is one so are integral
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. No, it's greatly simplify. We have the
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integral from 0 to 2 pi off the rt and
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remember the limit Its plus 0 to 5 because our
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all right, so now be in order constants but
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convicted outside. And that the integral bt's Justine and
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it goes from 0 to 2 pi. So then
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you're gonna take the difference which is to 50 or
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to find Czar so are integral. Whoever c a
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b dot br is just to buy And then we're
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given in the question that this integral dizzy Putin would
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not see. So now if we try to solve
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for the weekend, we're gonna have to divide by
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two pi r on both sides. So we get
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finally that be it's you not I divided like to
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buy on This is exactly what we wanted to show
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So we're don't with a verification