Question

Two point charge $q_1=2C$ and $q_1=1C$ are placed at a distance $b=1cm$ and $a=2cm$ from the x and y axes as shown in the figure. The electric field vector at point $P(a,b)$ will subtend an angle $\theta$ with the x-axis given by

• A. $\tan \theta =4$
• B. $\tan \theta =1$
• C. $\tan \theta =3$
• D. $\tan \theta =2$

Answer 1

The correct option is D $\tan \theta =2$

${Eq}_1=\frac{K.2}{a^2}⟹\frac{2\times 9\times {10}^9\times {10}^4}{4}{Eq}_2=\frac{K.1}{6^2}⟹\frac{9\times {10}^9}{{10}^{-4}}⟹{9\times 10}^{13}\tan \theta =\frac{{Eq}_2}{{Eq}_1}=\frac{{9\times 10}^{13}}{{9\times 10}^{13}/2}=2$