How will the voltage $\left(V\right)$ between the two plates of a parallel plate capacitor depend on the distance $\left(d\right)$ between the plates, if the charge on the capacitor remains the same?

Two rods of copper and iron with the same cross-sectional area are joined at $S$ and a steady current $I$ flows through the rods as shown in the figure.

Choose the most appropriate representation of charges accumulated near the junction $S$.

An electron enters a parallel plate capacitor with horizontal speed $\mu$ and is found to deflect by angle $\theta$ on leaving the capacitor as shown. It is found that $\tan \theta =0.4$ and gravity is negligible.

If the initial horizontal speed is doubled, then $\tan \theta$ will be:

Two identical parallel plate capacitors of capacitance each are connected in series with a battery of emf, $E$ as shown. If one of the capacitors is now filled with a dielectric of dielectric constant $k$, the amount of charge which will flow through the battery is (neglect internal resistance of the battery)

What are the charges stored in the $1 \mu F$ and $2 \mu F$ capacitors in the circuit below, once the currents become steady?