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Perhatikan gambar rangkaian kapasitor berikut ! ...

Perhatikan gambar rangkaian kapasitor berikut !

Besar energi listrik dalam rangkaian kapasitor gabungan ini adalah.... begin mathsize 12px style left parenthesis 1 space μF equals 10 to the power of negative 6 end exponent space straight F right parenthesis end style

  1. 0 comma 6 space cross times 10 to the power of negative 3 end exponent space joule

  2. 1 comma 2 space cross times 10 to the power of negative 3 end exponent space joule

  3. 1 comma 8 space cross times 10 to the power of negative 3 end exponent space joule

  4. 2 comma 4 space cross times 10 to the power of negative 3 end exponent space joule

  5. 3 comma 0 space cross times 10 to the power of negative 3 end exponent space joule

Jawaban:

Ada dua kapasitas kapasitor yang dirangkai secara seri :

1 over straight C subscript straight s 1 end subscript equals space 1 half plus 1 half equals space 2 over 2  straight C subscript straight s 1 end subscript space equals space 1 space μF

Ada tiga kapasitas kapasitor yang dirangkai secara seri :

1 over straight C subscript straight s 2 end subscript equals space 1 fourth plus 1 over 6 plus 1 over 12 equals space 3 over 12 plus thin space 2 over 12 plus 1 over 12 equals space 6 over 12  straight C subscript straight s 2 end subscript space equals space 12 over 6 equals space 2 space μF

Kedua rangkaian kapasitor seri tersebut digabungkan secara paralel :

straight C subscript total equals straight C subscript straight p space  straight C subscript straight p equals space straight C subscript straight s 1 end subscript plus straight C subscript straight s 2 end subscript  straight C subscript straight p space equals space 1 space plus space 2 space  straight C subscript straight p equals space 3 space μF

Besarnya energi pada kapasitor setelah semuanya digabungkan adalah :

straight W space equals space 1 half space straight C space straight V squared  straight W subscript total space equals space 1 half space. space straight C subscript total space end subscript. space straight V subscript total squared  straight W subscript total space equals space 1 half open parentheses 3 cross times 10 to the power of negative 6 end exponent close parentheses space open parentheses 40 close parentheses squared  straight W subscript total space equals space 2400 space cross times 10 to the power of negative 6 space end exponent straight J  straight W subscript total space equals space 2 comma 4 space cross times space 10 to the power of negative 3 end exponent space straight J

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