All Problems

Electric Current

Problem 3.148

An air cylindrical capacitor with a dc voltage V=200 VV=200 \mathrm{~V} applied across it is being submerged vertically into a vessel filled with water at a velocity v=5.0 mm/sv=5.0 \mathrm{~mm} / \mathrm{s}. The electrodes of the capacitor are separated by a distance d=2.0 mm,d=2.0 \mathrm{~mm}, the mean curvature radius of the electrodes is equal to r=50 mmr=50 \mathrm{~mm}. Find the current flowing in this case along lead wires, if drd \ll r.

Reveal Answer
I2πε0(ε1)rUV/d=0.11μAI \approx 2 \pi \varepsilon_{0}(\varepsilon-1) r U V / d=0.11 \mu \mathrm{A}