Jika dua buah muatan sama besar yang terpisah sejauh 8 cm memberikan gaya coulomb 5,625 N dan k=9×109 Nm2/C2, maka besar masing-masing muatan adalah ....

Pertanyaan

Jika dua buah muatan sama besar yang terpisah sejauh 8 cm memberikan gaya coulomb 5,625 N dan k equals 9 cross times 10 to the power of 9 space Nm squared divided by straight C squared, maka besar masing-masing muatan adalah ....space

  1. 1 comma 0 space μC 

  2. 1 comma 8 space μC 

  3. 2 comma 0 space μC 

  4. 2 comma 4 space μC 

  5. 4 comma 0 space μC 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Pembahasan

Diketahui :

table attributes columnalign right center left columnspacing 0px end attributes row r equals cell 8 space c m end cell row F equals cell 5 comma 625 space N end cell row cell q subscript 1 end cell equals cell q subscript 2 equals q end cell row k equals cell 9 cross times 10 to the power of 9 space Nm squared divided by straight C squared end cell end table 

Ditanya :

q = ....?

Jawab :

Gaya coulomb berbanding lurus dengan besarnya kedua muatan dan berbanding terbalik dengan kuadrat jarak antara kedua muatan.

table attributes columnalign right center left columnspacing 0px end attributes row F equals cell fraction numerator k q subscript 1 q subscript 2 over denominator r squared end fraction end cell row cell 5 comma 625 end cell equals cell fraction numerator open parentheses 9 cross times 10 to the power of 9 close parentheses open parentheses q close parentheses open parentheses q close parentheses over denominator open parentheses 8 cross times 10 to the power of negative 2 end exponent close parentheses squared end fraction end cell row cell 5 comma 625 end cell equals cell fraction numerator open parentheses 9 cross times 10 to the power of 9 close parentheses open parentheses q close parentheses squared over denominator open parentheses 8 cross times 10 to the power of negative 2 end exponent close parentheses squared end fraction end cell row cell open parentheses q close parentheses squared end cell equals cell fraction numerator open parentheses 5 comma 625 close parentheses open parentheses 8 cross times 10 to the power of negative 2 end exponent close parentheses squared over denominator open parentheses 9 cross times 10 to the power of 9 close parentheses end fraction end cell row cell open parentheses q close parentheses squared end cell equals cell fraction numerator open parentheses 5 comma 625 close parentheses open parentheses 64 cross times 10 to the power of negative 4 end exponent close parentheses over denominator open parentheses 9 cross times 10 to the power of 9 close parentheses end fraction end cell row cell open parentheses q close parentheses squared end cell equals cell fraction numerator open parentheses 5625 cross times 10 to the power of negative 3 end exponent close parentheses open parentheses 64 cross times 10 to the power of negative 4 end exponent close parentheses over denominator open parentheses 9 cross times 10 to the power of 9 close parentheses end fraction end cell row cell open parentheses q close parentheses squared end cell equals cell fraction numerator open parentheses 5625 close parentheses open parentheses 64 close parentheses open parentheses 10 to the power of negative 16 end exponent close parentheses over denominator open parentheses 9 close parentheses end fraction end cell row q equals cell fraction numerator open parentheses 75 close parentheses open parentheses 8 close parentheses open parentheses 10 to the power of negative 8 end exponent close parentheses over denominator open parentheses 3 close parentheses end fraction end cell row q equals cell 200 cross times 10 to the power of negative 8 end exponent end cell row q equals cell 2 cross times 10 to the power of negative 6 end exponent end cell row q equals cell 2 space μC end cell end table 

Dengan demikian, besarnya masing masing muatan adalah 2 space μC.

Jadi, jawaban yang tepat adalah C.

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