Unit EEEN10028 Electromagnetic Fields
Lecturer Professor Anthony Peyton
……………………………………
A d.p Stick comprises two sma sphencal electrodes of radius, a separated by a distance of b meters. The stick ,s ubmerged .n water of conductivity a S/m, such that the electrodes will be assumed to be positioned almos vertically. A constructive present of +1 Amps is injected into the higher electrode at (zero, b/2) and an equal and reverse present -1 Amps flows out of the decrease electrode at (zero,-b/2). The structure is proven within the following diagram. Word the origin of the coordinate system is the mid-point between the 2 electrodes.
Insulating helps -*
Decrease electrode
Water, a
Initlally the electrodes are deeply submerged in order that c will be conskfered Inflnlte
a. Use superposition to how that the present dens.ty at a posmon (zero,y) on the y-axis, the place % – a |y| is given by
b. Derive an expression for the resistance of the water between the 2 ……………………………………………………………………..
c. What ,s the resistance of a tool with 2 mm diameter electrodes separated
by 2 cm submerged in sea water of conductivity 5 S/m.
This half is optionally available, if the depth is now thought-about to be finite:
d. What’s the resistance of the electrode pair if the depth c is 1.5 cm?
Solutions: c. 30.2 Q, d. 31.2 Q

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