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Sebuah generator AC dengan εm​=220 V beroperasi pada frekuensi 400 Hz menyebabkan osilasi pada rangkaian seri RLC dengan R=1800 Ω, L = 150 mH dan C=24,0 μF. Tentukanlah reaktansi kapasitif (XC), Impedansi (Z) dan amplitudo arus (im)!

Pertanyaan

Sebuah generator AC dengan epsilon subscript m equals 220 space straight V beroperasi pada frekuensi 400 Hz menyebabkan osilasi pada rangkaian seri RLC dengan R equals 1800 space straight capital omegaL = 150 mH dan C equals 24 comma 0 space μF. Tentukanlah reaktansi kapasitif (XC), Impedansi (Z) dan amplitudo arus (im)!

E. Marcheline

Master Teacher

Mahasiswa/Alumni Universitas Sanata Dharma Yogyakarta

Jawaban terverifikasi

Pembahasan

Diketahui:

epsilon subscript m equals 220 space straight V f equals 400 space Hz R equals 1800 space straight capital omega space L equals 150 space mH equals 0 comma 15 space straight H C equals 24 comma 0 space μF equals 24 cross times 10 to the power of negative 6 end exponent space straight F

Ditanya: reaktansi kapasitif, Impedansi dan amplitudo arus

Jawab:

Reaktansi Kapasitif

table attributes columnalign right center left columnspacing 0px end attributes row cell X subscript C end cell equals cell fraction numerator 1 over denominator omega times C end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 straight pi times straight f times C end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 straight pi times 400 times 24 cross times 10 to the power of negative 6 end exponent end fraction end cell row blank equals cell fraction numerator 1 over denominator straight pi times 192 cross times 10 to the power of negative 4 end exponent end fraction end cell row blank equals cell 52 over straight pi straight capital omega end cell end table

Reaktansi Induktor

table attributes columnalign right center left columnspacing 0px end attributes row cell X subscript L end cell equals cell omega times L end cell row blank equals cell 2 straight pi times f times L end cell row blank equals cell 2 straight pi times 400 times 0 comma 15 end cell row blank equals cell 120 straight pi space straight capital omega end cell end table

Impedansi

table attributes columnalign right center left columnspacing 0px end attributes row Z equals cell square root of R squared plus open parentheses X subscript L plus X subscript C close parentheses squared end root end cell row blank equals cell square root of 1800 squared plus open parentheses 120 straight pi plus 52 over pi close parentheses squared end root end cell row blank equals cell square root of 1800 squared plus open parentheses 376 comma 8 plus 16 comma 56 close parentheses squared end root end cell row blank equals cell square root of 1800 squared plus open parentheses 393 comma 4 close parentheses squared end root end cell row blank equals cell square root of 3240000 plus 154763 comma 56 end root end cell row blank equals cell square root of 3394763 comma 56 end root end cell row blank equals cell 1842 comma 5 space straight capital omega end cell end table

Amplitudo Arus

table attributes columnalign right center left columnspacing 0px end attributes row cell I subscript m end cell equals cell epsilon subscript m over Z end cell row blank equals cell fraction numerator 220 over denominator 1842 comma 5 end fraction end cell row blank equals cell 0 comma 119 space straight A end cell end table
        
Jadi, jawaban yang tepat adalah 16 comma 56 space straight capital omega comma space 1842 comma 5 space straight capital omega space dan space 0 comma 119 space straight A.

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