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A voltage supply of 12Vrms and frequency 90Hz is connected to a 4Ω resistor. Calculate the peak
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Dec 9, 2024
A voltage supply of 12Vrms and frequency 90Hz is connected to a 4Ω resistor. Calculate the peak value of the current.
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0:02
a voltage supply of 12 bot s and
0:06
frequency
0:08
90z is connected to a 4 Ohms
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resistor calculate the F value of the
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current now a voltage
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supply of 12 s which means we
0:26
have
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B root means
0:30
Square =
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to
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12
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sorry
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12
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volts and
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frequency of 90
0:46
HZ is connected to a 4 Ohms resistor in
0:51
this case we also have a
0:56
resistance which is equals to 4
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ohms calculate the
1:05
peak value of the current calculate the
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pi value of the current which is I not
1:14
what is I
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not remember that the formula for I
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not I not is equal
1:23
to
1:25
IUN
1:27
s time
1:30
<
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tk2 this is I not = IUN * < tk2 which is
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the formula for I but we don't have iot
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me S and we need to find it remember
1:46
again that resistance is equal to
1:51
voltage over
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current therefore this is the same as to
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say bot s all
2:00
over
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IUN me
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squ and to find I root means squ because
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we have voltage we also have
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resistance therefore in this case we
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will now say
2:23
that we'll now say that since we have
2:26
our
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voltage we have our
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resistance and R isal to
2:34
bot s all
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IUN
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s by cross
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multiplication we'll end up
2:45
having
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IUN s *
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resistance which is equal to B root
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me
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squ however looking for I squ therefore
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we can divide both sides by
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by this will cancel this leaving us with
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IUN
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s isal to
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b² all
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over
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R therefore we now go back to our data
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which says that b s = 12 therefore this
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case we will now come here and say b s
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isal 12 from here therefore we change it
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with
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12 right 12
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here all over R from here our R is 4 OHS
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remember from the question it say 4 Ohms
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therefore we now
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Sayid
3:53
4 and this is going to give us 12 / 4 so
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let me write it
4:01
here
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IUN s = 12 4 will give us three and this
4:12
is therefore iot S = 3 now that we have
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iot S we go back to the main equation
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that we supposed to use to find the P
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value of the current which is I not
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therefore in this case
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we will now say
4:33
that I
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not I is equal to
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IUN
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m² * <
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tk2 which is equal to iot me S is = 3
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* tk2 and this is going to give us 3 <
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tk2 to change it from short form let me
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type my own calculator to see what I'm
5:04
going to
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get if I
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first this is going to give me
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uh this is going to give
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me I
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not = to
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4.2 a which is the P value of the
5:27
current and this is our final answer
5:33
so you can see it
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