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Segitiga ABC siku-siku di B, alas AB = 30 cm, ting...

Segitiga ABC siku-siku di B, alas AB = 30 cm, tinggi BC = 60 cm. Pada titik A,B,C terdapat muatan listrik masing-masing undefined, hitunglah gaya elektrostatis pada titik B !undefined
 

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Jawaban:

Diketahui :

begin mathsize 14px style q subscript A space equals space 15 space. space 10 to the power of negative 6 end exponent space straight C q subscript B space equals space minus 4 space. space 10 to the power of negative 6 end exponent space straight C q subscript C space equals space 80 space. space 10 to the power of negative 6 end exponent space straight C r subscript B A end subscript space equals space 30 space cm space equals space 3 space. space 10 to the power of negative 1 end exponent space straight m r subscript B C end subscript space equals space 60 space cm space equals space 6 space. space 10 to the power of negative 1 end exponent space straight m end style 

Ilustrasi ketiga muatan dalam segitiga ABC dapat digambarkan sebagai berikut.

Untuk menentukan gaya elektrostatis pada titik B, maka dapat digunakan persamaan sebagai berikut.

  1. Mencari gaya elektrostatis antara B dan A

    begin mathsize 14px style F subscript B A end subscript space equals space fraction numerator k italic space. space q subscript B space. space q subscript A over denominator r subscript B A end subscript squared end fraction F subscript B A end subscript space equals fraction numerator 9 space. space 10 to the power of 9 space. space 4 space. space 10 to the power of negative 6 end exponent space. space 15 space. space 10 to the power of negative 6 end exponent over denominator left parenthesis 3.10 to the power of negative 1 end exponent right parenthesis squared end fraction F subscript B A end subscript space equals space fraction numerator 540 space. space 10 to the power of negative 3 end exponent over denominator 9 space. space 10 to the power of negative 2 end exponent end fraction F subscript B A end subscript space equals space 60 space. space 10 to the power of negative 1 end exponent F subscript B A end subscript space equals space 6 space straight N end style 
     
  2. Mencari gaya elektrostatis antara B dan C

    begin mathsize 14px style F subscript B C end subscript space equals space fraction numerator k italic space. space q subscript B space. space q subscript C over denominator r subscript B C end subscript to the power of italic 2 end fraction F subscript B C end subscript space equals fraction numerator 9 space. space 10 to the power of 9 space. space 4 space. space 10 to the power of negative 6 end exponent space. space 80 space. space 10 to the power of negative 6 end exponent over denominator open parentheses 6 space. space 10 to the power of negative 1 end exponent close parentheses squared end fraction F subscript B C end subscript space equals space fraction numerator 2880 space. space 10 to the power of negative 3 end exponent over denominator 36 space. space 10 to the power of negative 2 end exponent end fraction F subscript B C end subscript space equals space 80 space. space 10 to the power of negative 1 end exponent F subscript B C end subscript space equals space 8 space straight N end style  
     
  3. Mencarai gaya elektrostatis total pada titik B

    begin mathsize 14px style F subscript B space equals space square root of F subscript B A end subscript to the power of italic 2 space plus space F subscript B C end subscript to the power of italic 2 space plus space 2 space. space F subscript B A end subscript space. space F subscript B C end subscript space. space cos space straight theta end root F subscript B space equals space square root of 6 squared space plus space 8 squared space plus space 2 space. space 6 space. space 8 space. space cos space 90 degree end root F subscript B space equals space square root of 36 space plus space 64 space plus space 96 space. space 0 end root F subscript B space equals space square root of 100 F subscript B space equals space 10 space straight N end style 

Jadi, gaya elektrostatis pada titik B adalah 10 N.begin mathsize 14px style space space end style

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