An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force look like,

A metallic solid sphere is placed in a uniform electric field. The path followed by the lines of force is,

A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$. If the radius is doubled, then the outward electric flux will 

Find the flux through the Gaussian surface, given that the radius of the circle is $R$.

Three charges$-q_1,+q_2$ and $-q_3$ are placed as shown in the figure. The $x-$component of the force on $-q_1$ is proportional to