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Moderate

# Vector Calculation and Coulomb's Law

EANDM-6XQC1A

Four charges are arranged in a square of side $a$ as shown in the figure below. Three of the charges are positive with value $+Q$. The charge in the lower left corner is negative with a value $-q$.

Consider the charge $+Q$ in the top right corner of the square. What is the value of $-q$ required to make the net force on the upper right $+Q$ charge zero?

A

$q = 2 Q$

B

$q = \sqrt 2 Q$

C

$q = 2 \sqrt 2 Q$

D

$q = \cfrac {Q}{ \sqrt 2}$

E

$q = 4 \sqrt 2 Q$