As shown in the figure below, a charge $+2 \text{ C}$ is situated at the origin $O$ and another charge $+5 \text{ C}$ is on the $x$-axis at point $A(2, 0) \text{ m}$. The charge at point $A$ is then moved to point $B(0, 2) \text{ m}$ on the $y$-axis. Calculate the work done. (Given $\frac{1}{4 \pi \varepsilon_{0}} = 9 \times 10^{9} \text{ N m}^2/\text{C}^2$)

  • A
    $45 \times 10^{9} \text{ J}$
  • B
    $90 \times 10^{9} \text{ J}$
  • C
    zero
  • D
    $-45 \times 10^{9} \text{ J}$

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