Perhatikan gambar rangkaian RLC berikut! Apabila impedansi rangkaian 250 ohm, maka hambatan resistor (R) adalah ....

Pertanyaan

Perhatikan gambar rangkaian RLC berikut!

Apabila impedansi rangkaian 250 ohm, maka hambatan resistor (R) adalah ....

$50\;\mathrm\Omega$
$200\;\mathrm\Omega$
$400\;\mathrm\Omega$
$600\;\mathrm\Omega$
$800\;\mathrm\Omega$

J. Khairina

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Diketahui:

$\begin{array}{rcl}L&=&0,8\;\mathrm H\\C&=&8\;\mathrm{μF}=8\times10^{-6}\;\mathrm F\\V&=&200\;\mathrm V\\\omega&=&500\;\frac{\mathrm{rad}}{\mathrm s}\\Z&=&250\;\mathrm\Omega\end{array}$

Ditanya: $R\;?$

Jawab:

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell bold Mencari bold space bold nilai bold space bold Reaktansi bold space bold Induktif end cell row cell X subscript L end cell equals cell omega L end cell row blank equals cell 500 cross times 0 comma 8 end cell row blank equals cell 400 space straight capital omega end cell row blank blank blank row blank blank cell bold Mencari bold space bold nilai bold space bold Reaktansi bold space bold Kapasitif end cell row cell X subscript C end cell equals cell fraction numerator 1 over denominator omega C end fraction end cell row blank equals cell fraction numerator 1 over denominator 500 cross times 8 cross times 10 to the power of negative 6 end exponent end fraction end cell row blank equals cell fraction numerator 1 over denominator 4000 cross times 10 to the power of negative 6 end exponent end fraction end cell row blank equals cell 250 space straight capital omega end cell row blank blank blank row blank blank cell bold Mencari bold space bold Resistor bold space bold melalui bold space bold persamaan bold space bold Impedansi end cell row Z equals cell square root of R squared plus open parentheses X subscript L minus X subscript C close parentheses squared end root end cell row cell Z squared end cell equals cell R squared plus open parentheses X subscript L minus X subscript C close parentheses squared end cell row cell 250 squared end cell equals cell R squared plus open parentheses 400 minus 250 close parentheses squared end cell row 62500 equals cell R squared plus 22500 end cell row cell R squared end cell equals 40000 row R equals cell 200 space straight capital omega end cell end table$

Jadi, jawaban yang benar adalah B.

3rb+

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