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Three charges are arranged on the vertices of a right
angle triangle as shown in the figure. The magnitude of
dipole moment of the combination in the unit of C-cm is

Options:
angle triangle as shown in the figure. The magnitude of
dipole moment of the combination in the unit of C-cm is

Solution:
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Verified Answer
The correct answer is:
$10 \mathrm{q}$

Let side of $\mathrm{AB}$ and $\mathrm{BC}$ is a
$$
\begin{aligned}
& \mathrm{a}^2+\mathrm{a}^2=(10)^2 \mathrm{~cm} \\
& 2 \mathrm{a}^2=(10)^2 \\
& \mathrm{a}=\frac{10}{\sqrt{2}}
\end{aligned}
$$
The magnitude of dipole moment
$$
\begin{aligned}
& P=2 q a \cos \theta=2 q \times \frac{10}{\sqrt{2}} \times \cos 45 \\
& =2 \varepsilon \times \frac{10}{\sqrt{2}} \times \frac{1}{\sqrt{2}}=10 \mathrm{~cm}
\end{aligned}
$$
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