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Tiga muatan , , dan  berada pada posisi di ujung s...

Tiga muatan Q subscript A equals 3 space μC, Q subscript B equals negative 10 space μC, dan Q subscript C equals 4 space μC berada pada posisi di ujung segitiga siku-siku ABC di mana panjang AB = BC = 30 cm. Tentukan resultan gaya Coulomb pada muatan Q subscript A!

Jawaban:

Diketahui:
Q subscript A equals 3 space μC Q subscript B equals negative 10 space μC Q subscript C equals 4 space μC A B equals B C equals 30 space cm equals 0 comma 3 space straight m 

Ditanyakan: resultan gaya Coulomb pada muatan Q subscript A equals ? 
Jawab:

Gaya Coulomb muatan A dan B saling tarik menarik
F subscript A B end subscript equals fraction numerator k Q subscript A Q subscript B over denominator r subscript A B end subscript squared end fraction F subscript A B end subscript equals fraction numerator open parentheses 9 cross times 10 to the power of 9 close parentheses open parentheses 3 cross times 10 to the power of negative 6 end exponent close parentheses open parentheses 10 cross times 10 to the power of negative 6 end exponent close parentheses over denominator open parentheses 0 comma 3 close parentheses squared end fraction F subscript A B end subscript equals fraction numerator 27 cross times 10 to the power of negative 2 end exponent over denominator 0 comma 09 end fraction F subscript A B end subscript equals 3 space straight N 

Gaya Coulomb muatan A dan C saling tolak menolak
F subscript A C end subscript equals fraction numerator k Q subscript A Q subscript C over denominator r subscript A B end subscript squared end fraction F subscript A C end subscript equals fraction numerator open parentheses 9 cross times 10 to the power of 9 close parentheses open parentheses 3 cross times 10 to the power of negative 6 end exponent close parentheses open parentheses 4 cross times 10 to the power of negative 6 end exponent close parentheses over denominator open parentheses square root of 0 comma 3 squared plus 0 comma 3 squared end root close parentheses squared end fraction F subscript A C end subscript equals fraction numerator 108 cross times 10 to the power of negative 3 end exponent over denominator open parentheses 0 comma 3 square root of 2 close parentheses squared end fraction F subscript A C end subscript equals 6 space straight N 

Maka FAB dan FAC membentuk sudut theta equals 135 degree
F subscript A equals square root of F subscript A B end subscript squared plus F subscript A C end subscript squared plus 2 F subscript A B end subscript F subscript A C end subscript cos theta end root F subscript A equals square root of 3 squared plus 6 squared plus 2.3.6. cos 135 end root F subscript A equals square root of 9 plus 36 minus 25 comma 45 end root F subscript A equals square root of 19 comma 54 end root F subscript A equals 4 comma 42 space straight N 

Jadi, besar resultan gaya Coulomb pada muatan QA adalah 4,42 N.

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