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Pertanyaan

Segitiga ABC siku-siku di B, alas AB = 30 cm, tinggi BC = 60 cm. Pada titik A, B, dan C terdapat muatan listrik masing-masing +15µC, -4µC , dan +80µC, hitunglah gaya elektrostatis di titik B!

Segitiga ABC siku-siku di B, alas AB = 30 cm, tinggi BC = 60 cm. Pada titik A, B, dan C terdapat muatan listrik masing-masing +15µC, -4µC , dan +80µC, hitunglah gaya elektrostatis di titik B!

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah 10 N.

jawaban yang tepat adalah 10 N.

Pembahasan

Pembahasan
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Diketahui: Ditanya: Jawab: Jadi, jawaban yang tepat adalah 10 N.

Diketahui:

r subscript A B end subscript equals 30 blank cm blank equals blank 0 , 3 blank straight m r subscript B C end subscript equals 60 blank cm blank equals blank 0 , 6 blank straight m Q subscript straight A equals 15 blank μC equals 15 cross times 10 to the power of negative 6 end exponent straight C Q subscript straight B equals negative 4 blank μC equals negative 4 cross times 10 to the power of negative 6 end exponent straight C Q subscript straight C equals 80 blank μC equals 80 cross times 10 to the power of negative 6 end exponent straight C k equals 9 cross times 10 to the power of 9 space straight N times straight m squared divided by straight C squared

Ditanya: begin mathsize 14px style F subscript B end style 

Jawab:

table attributes columnalign center center left end attributes row cell F subscript A B end subscript end cell equals cell fraction numerator k times Q subscript A times Q subscript B over denominator r subscript A B end subscript squared end fraction end cell row blank equals cell fraction numerator 9 cross times 10 to the power of 9 times 15 cross times 10 to the power of negative 6 end exponent times open parentheses 4 cross times 10 to the power of negative 6 end exponent close parentheses over denominator 0 comma 3 squared end fraction end cell row blank equals cell fraction numerator 540 cross times 10 to the power of negative 3 end exponent over denominator 9 cross times 10 to the power of negative 2 end exponent end fraction end cell row blank equals cell 6 blank straight N end cell end table

table attributes columnalign center center left end attributes row cell F subscript B C end subscript end cell equals cell fraction numerator k times Q subscript B times Q subscript C over denominator r subscript B C end subscript squared end fraction end cell row blank equals cell fraction numerator 9 cross times 10 to the power of 9 times open parentheses 4 cross times 10 to the power of negative 6 end exponent close parentheses times open parentheses 80 cross times 10 to the power of negative 6 end exponent close parentheses over denominator 0 comma 6 squared end fraction end cell row blank equals cell fraction numerator 2880 cross times 10 to the power of negative 3 end exponent over denominator 36 cross times 10 to the power of negative 2 end exponent end fraction end cell row blank equals cell 8 blank straight N end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell F subscript B end cell equals cell square root of F subscript A B end subscript squared plus F subscript B C end subscript squared end root end cell row blank equals cell square root of open parentheses 6 close parentheses squared plus open parentheses 8 close parentheses squared end root end cell row blank equals cell square root of 36 plus 64 end root end cell row blank equals cell square root of 100 end cell row blank equals cell 10 space straight N end cell end table 

 

Jadi, jawaban yang tepat adalah 10 N.

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