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Tiga muatan identik A,B dan C , diletakkan segaris. Jarak A ke B sama dengan B ke C, yaitu x. Kemudian muatan B dikeluarkan dari sistem itu ke tempat yang sangat jauh. Usaha yang dilakukan sistem tersebut sebesar ...

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R. Anjasmara

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row EP equals cell straight k fraction numerator straight Q subscript 1 straight Q subscript 2 over denominator straight R end fraction end cell row cell EP subscript AB end cell equals cell space straight k QQ over straight x equals kQ squared over straight x end cell row cell EP subscript Ac end cell equals cell space straight k fraction numerator QQ over denominator 2 straight x end fraction equals fraction numerator kQ squared over denominator 2 straight x end fraction end cell row cell EP subscript BC end cell equals cell space straight k QQ over straight x equals kQ squared over straight x end cell row cell EP subscript sistem space end subscript end cell equals cell space EP subscript AB plus EP subscript Ac plus EP subscript BC end cell row cell EP subscript sistem space end subscript end cell equals cell kQ squared over straight x plus fraction numerator kQ squared over denominator 2 straight x end fraction plus kQ squared over straight x end cell row cell EP subscript sistem space end subscript end cell equals cell fraction numerator 2 kQ squared plus kQ squared plus 2 kQ squared over denominator 2 straight x end fraction end cell row cell EP subscript sistem space end subscript end cell equals cell fraction numerator 5 kQ squared over denominator 2 straight x end fraction end cell end table end style    

Jika muatan B dihilangkan :

begin mathsize 14px style EP subscript AC space sesudah end subscript equals straight k fraction numerator QQ over denominator 2 straight x end fraction equals fraction numerator kQ squared over denominator 2 straight x end fraction end style 

Usaha untuk mengeluarkan muatan B :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight W equals cell space minus increment EP end cell row straight W equals cell space minus left parenthesis EP subscript AC minus EP subscript sistem right parenthesis end cell row straight W equals cell space minus left parenthesis fraction numerator kQ squared over denominator 2 straight x end fraction minus fraction numerator 5 kQ squared over denominator 2 straight x end fraction right parenthesis end cell row straight W equals cell space minus left parenthesis fraction numerator negative 4 kQ squared over denominator 2 straight x end fraction right parenthesis end cell row straight W equals cell space fraction numerator 2 kQ squared over denominator straight x end fraction end cell end table end style  

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