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Dua buah muatan listrik diletakkan terpisah sepert...

Dua buah muatan listrik diletakkan terpisah seperti gambar. Titik C berada 20 cm di sebelah kanan B. Jika k = begin mathsize 12px style 9 space. space 10 to the power of 9 space end exponent space Nm. straight C to the power of negative 2 end exponent end style dan begin mathsize 12px style 1 space μC space equals space 10 to the power of negative 6 end exponent space straight C end style, maka kuat medan di titik C adalah ....

  1. 1 comma 275.10 to the power of 8 space straight N. straight C to the power of negative 1 end exponent

  2. 1 comma 350.10 to the power of 8 space straight N. straight C to the power of negative 1 end exponent

  3. 1 comma 425.10 to the power of 8 space straight N. straight C to the power of negative 1 end exponent

  4. 1 comma 550.10 to the power of 8 space straight N. straight C to the power of negative 1 end exponent

  5. 1 comma 625.10 to the power of 8 space straight N. straight C to the power of negative 1 end exponent

Jawaban:

straight R subscript straight A equals space 60 space cm space equals space 6 space cross times space 10 to the power of negative 1 end exponent space straight m  straight R subscript straight B equals space 20 space cm space equals space 2 space cross times space 10 to the power of negative 1 end exponent space straight m  straight q subscript straight A space equals space 300 space μC equals 300 cross times 10 to the power of negative 6 space end exponent straight C  straight q subscript straight B space equals space 600 space μC equals 600 cross times 10 to the power of negative 6 space end exponent straight C

Kuat medan listrik A yang dirasakan oleh C adalah :

straight E subscript straight A space equals space straight k space straight q subscript straight A over straight R subscript straight A squared space equals space open parentheses 9 cross times 10 to the power of 9 close parentheses fraction numerator open parentheses 300 cross times 10 to the power of negative 6 end exponent close parentheses over denominator open parentheses 6 cross times 10 to the power of negative 1 end exponent close parentheses squared end fraction  straight E subscript straight A equals space 7 comma 5 cross times 10 to the power of 6 space straight N divided by straight C

Kuat medan listrik B yang dirasakan oleh C adalah :

straight E subscript straight B space equals space straight k space straight q subscript straight B over straight R subscript straight B squared space equals space open parentheses 9 cross times 10 to the power of 9 close parentheses fraction numerator open parentheses 600 cross times 10 to the power of negative 6 end exponent close parentheses over denominator open parentheses 2 cross times 10 to the power of negative 1 end exponent close parentheses squared end fraction  straight E subscript straight B equals space 135 cross times 10 to the power of 6 space straight N divided by straight C

Maka, kuat medan listrik total yang dirasakan oleh C adalah :

straight E subscript straight C equals space straight E subscript straight B space plus space straight E subscript straight A  straight E subscript straight C space equals space open parentheses 135 plus 7 comma 5 close parentheses cross times 10 to the power of 6  straight E subscript straight C space equals space 142 comma 5 space cross times 10 to the power of 6 space straight N divided by straight C  straight E subscript straight C space equals space 1 comma 425 cross times 10 to the power of 8 space straight N divided by straight C

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