induced current due to rotating non-conducting sphere

the ans they have given is 8 what have I done wrong
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21 Replies
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@Gyro Gearloose
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Opt
Opt4w ago
I got eight
Opt
Opt4w ago
It's a tad messy sorry
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Opt
Opt4w ago
Oh I see your mistake. Really small one, but important. For each dθ, you have two charge elements, on either side of the axis. So dq = Qdθ/π Not 2π
hithav
hithavOP4w ago
fourth to fifth step how is extra /2 factor coming
Opt
Opt4w ago
Integration of sin²θ
hithav
hithavOP4w ago
I compensated for that by considering 2dq
Opt
Opt4w ago
I presume that's what you're asking
hithav
hithavOP4w ago
no before that
Opt
Opt4w ago
For μ/2?
hithav
hithavOP4w ago
yeah
hithav
hithavOP4w ago
.
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Opt
Opt4w ago
That's from the formula. $\frac{\mu_{0}ir^{2}}{2(r^{2}+z^{2})^{\frac{3}{2}}}$
TeXit
TeXit4w ago
Opt
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hithav
hithavOP4w ago
that's fine see this once
Opt
Opt4w ago
Wait huh I might have messed up
hithav
hithavOP4w ago
just that /2 rest is fine so you are also getting 16 the method is correct right ?
Opt
Opt4w ago
Nope I'm wrong I'm not thinking right I think I just messed up there 16 seems right.
hithav
hithavOP4w ago
ok then +solved @Opt
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