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Calculate the inductance L, of the coil in the circuit diagram shown below
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Dec 11, 2024
Calculate the inductance L, of the coil in the circuit diagram shown below
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0:01
calculate the inductance L of the coil
0:05
in the side C diagram shown above to
0:09
calculate the inductance we need to
0:11
remember the formula that
0:14
says b
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sorry L isal to
0:22
b/ 2
0:25
5
0:27
f i
0:30
and from from this from this C we can
0:33
see
0:35
that
0:37
our B which is the
0:40
voltage
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B is equals
0:44
to 200 volts therefore this is
0:49
240
0:51
volts we also have our frequency = to
0:55
100 over 5 HZ our F which is the
0:59
frequency is equal to
1:02
100 over
1:05
5
1:09
HZ and again we also have a current
1:14
which is 2.0 aamp we have I which is the
1:19
current current and this is
1:23
2.0
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un from this
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circuit now
1:31
for us to be able to find the inductance
1:37
L where to find
1:40
L according to the question they said
1:43
calculate the inductance L which is this
1:48
now since we said the formula
1:50
is B
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over 2 5 f i this is the c as V here is
2:02
240 therefore this is
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[Music]
2:05
240
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/ 2 * 5 here is
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3142
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3142 *
2:18
f is 100 / 5 but since 5 we already we
2:24
already have five here therefore we can
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now write our five 5 * 100 / 5 100 over
2:37
5
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times I which is
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2.0
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2.0 and we all know that 5 will cancel 5
2:49
leaving us with 2
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40 all
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over 2 * 100 * 2 this is 2 * 100 which
3:03
is 200 * 2 which is 400 therefore this
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is 240 over 1 over
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400 and if you do if you use our
3:16
calculator 240 over
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400 will give
3:23
us L this is L therefore L is equal to 0
3:29
6 and the unit of inductance is in hry
3:33
which is 0.6 Henry therefore this is our
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final answer therefore from here we can
3:39
see that L isal to
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0.6 har and this is what we have as you
3:47
can
3:51
see L isal to b/ 2 pi fi and we
3:56
extracted our data B is = 200 40 volt f
4:01
is 100 5z I is = 2 which is the current
4:05
is 2.0 a l is not given therefore we use
4:10
the formula Lal B / 2 pi f i which is
4:14
equals to We Now substituted the formula
4:18
sorry the values of v and F and I to get
4:24
what we have there we then cancel each
4:27
other to arrive at L to 240
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400 and when you divide use your
4:32
calculator to divide 240 by 400 you will
4:36
get
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0.600 and this is our final answer
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