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Jika R=25 Ω, L=30  mH, C=12 μF dan rangkaian itu dihubungkan dengan sumber tegangan AC 90 volt (rms) 500 Hz Tentukan: Hasil pengukuran voltmeter (rms) pada setiap komponen

Pertanyaan

Jika R equals 25 space straight capital omega comma space L equals 30 space space mH comma space C equals 12 space μF dan rangkaian itu dihubungkan dengan sumber tegangan AC 90 volt (rms) 500 Hz

Tentukan:

Hasil pengukuran voltmeter (rms) pada setiap komponen

M. Ardini

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

 V subscript R equals 31 comma 175 space straight V comma space V subscript L equals 117 comma 53 space straight V comma space V subscript C equals 33 space straight V

Pembahasan

Diketahui:
table attributes columnalign right center left columnspacing 0px end attributes row R equals cell 25 space straight capital omega end cell row L equals cell 30 space mH space equals space 30 cross times 10 to the power of negative 3 end exponent space straight H end cell row C equals cell 12 space μF space equals space 12 cross times 10 to the power of negative 6 end exponent space straight F end cell row V equals cell 90 space straight V end cell row f equals cell 500 space Hz end cell end table  

Ditanya:
V subscript R comma V subscript L comma V subscript C equals ? 

Jawab

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 f italic times L end cell row blank equals cell italic 2 straight pi times 500 times 30 cross times 10 to the power of negative 3 end exponent space end cell row blank equals cell 94 comma 25 space straight capital omega end cell row blank blank blank 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 f times C end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 straight pi times 500 times 12 cross times 10 to the power of negative 6 end exponent end fraction equals 26 comma 526 space straight capital omega end cell row blank blank blank row Z equals cell square root of R squared plus open parentheses X subscript L minus X subscript C close parentheses squared end root end cell row blank equals cell square root of 25 squared plus open parentheses 94 comma 25 minus 26 comma 526 close parentheses squared end root end cell row blank equals cell square root of 5211 comma 54 end root equals 72 comma 2 space straight capital omega end cell row blank blank blank row I equals cell V over Z end cell row blank equals cell fraction numerator 90 over denominator 72 comma 2 end fraction equals 1 comma 247 space straight A end cell row blank blank blank row cell V subscript R end cell equals cell I times R end cell row blank equals cell 1 comma 247 times 25 space equals space 31 comma 175 space straight V end cell row blank blank blank row cell V subscript L end cell equals cell I times X subscript L end cell row blank equals cell 1 comma 247 times 94 comma 25 equals 117.53 space straight V end cell row blank blank blank row cell V subscript C end cell equals cell I times X subscript C end cell row blank equals cell 1 comma 247 times 26 comma 526 equals 33 space straight V end cell end table   

Jadi, V subscript R equals 31 comma 175 space straight V comma space V subscript L equals 117 comma 53 space straight V comma space V subscript C equals 33 space straight V

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