Given two lengths of metal wire, which one will have the least electrical resistance: one that is short, or one that is long? Assume all other factors are equal (same metal type, same wire diameter, etc.).
The short wire will have less electrical resistance than the long wire.
Many analogies exist to express this concept: water through a pipe, compressed air through a hose, etc. Which pipe or hose is less restrictive: the short one or the long one?
Given two lengths of solid metal wire with round cross-sections, which one will have the least electrical resistance: one that is small-diameter, or one that is large-diameter? Assume all other factors are equal (same metal type, same wire length, etc.).
The large-diameter wire will have less electrical resistance than the small-diameter wire.
Many analogies exist to express this concept: water through a pipe, compressed air through a hose, etc. Which pipe or hose is less restrictive: the skinny one or the fat one?
What is the difference between materials classified as conductors versus those classified as insulators, in the electrical sense of these words?
Electrical “conductors” offer easy passage of electric current through them, while electrical ïnsulators” do not. The fundamental difference between an electrical “conductor” and an electrical ïnsulator” is how readily electrons may drift away from their respective atoms.
For an illustration of electron mobility within a metallic substance, research the terms electron gas and sea of electrons” in a chemistry reference book.
It is important to realize that electrical “conductors” and “insulators” are not the same as thermal “conductors” and “insulators.” Materials that are insulators in the electrical sense may be fair conductors of heat (certain silicone gels used as heat-transfer fluids for heat sinks, for instance). Materials that are conductors in the electrical sense may be fair insulators in the thermal sense (conductive plastics, for example).
Identify several substances that are good conductors of electricity, and several substances that are good insulators of electricity.
It is very easy to research (and test!) whether or not various substances are either conductors or insulators of electricity. I leave this task in your very capable hands.
If students have access to simple multimeters, they may perform conductivity tests on various substances with them. This is a fun and interesting classroom activity!
What naturally occurring substance is the best conductor of electricity?
Most people think the answer to this question is gold. However, there is another type of metal that conducts electricity better than any other type of metal, including gold! Document where you found your answer to this question.
A few of your students may come across superconductors in their research, which of course conduct electricity perfectly (with no resistance to electric current whatsoever). However, the answer I’m looking for here is the non-superconducting metal with the lowest electrical resistance of all.
Electrical wire is often rated according to its cross-sectional diameter by a gauge scale. Which is the larger-diameter wire size, 14 gauge or 8 gauge?
8 gauge is the larger diameter.
For students familiar with shotguns, the methodology of the wire gauge scale makes sense. For just about everyone else, the gauge scale seems “backward.”
What disadvantages might there be to using undersized wire in an electrical power distribution system, where electricity is transmitted from generators (sources) to “loads” (devices requiring power) far away? What might happen if the wires we choose for this application were to have insufficient cross-sectional area?
An analogy: what would happen if the water pipes in a municipal water supply system were sized too small?
The effects of undersized wiring are multiple: not only is there inefficiency in the system when conductors are too small, but there are safety hazards as well!
What disadvantages might there be to using oversized wire in an electrical power distribution system, where electricity is transmitted from generators (sources) to “loads” (devices requiring power) far away? What might be bad about using wires with more than sufficient cross-sectional area for the purpose?
An analogy: what would be bad about using oversized water pipes in a municipal water supply system? Nothing, perhaps, once the system was operational. However, what about the cost of building the system?
The bad effects of oversized wiring are more difficult to discern than the bad effects of undersized wiring. With oversized wiring, there is little electrical inefficiency, but this doesn’t mean the system is inefficient in other ways! The cost of the wiring itself, of course, is obvious, but there are other costs as well. Brainstorm ideas with your students about the cost-inefficiencies of oversized wiring in an electrical system.
What does the breakdown voltage (also known as dielectric strength) rating for an electrically insulating substance mean?
The breakdown voltage, or dielectric strength, rating of an insulator is the maximum amount of applied voltage it may withstand per unit thickness without conducting appreciable current.
This question provides an opportunity for “qualitative” analysis: does the voltage rating of an insulator increase or decrease as its thickness is increased, given a constant dielectric strength?
How much voltage can a 50 μm thick piece of mica withstand before breaking down?
Approximately 1500 volts, or 1.5 kV assuming a dielectric strength of 31.5 MV/m for mica.
Be sure to ask your students where they obtained the dielectric strength rating for mica. Different sources of information may give different figures, which will lead to different answers to this question.
Design a circuit to test the breakdown voltage of a material.
I won’t provide you with a ready-made schematic diagram for such a circuit, but I will give you a hint. If a substance were to be subjected to a voltage in excess of its dielectric strength, what effect(s) would indicate breakdown?
Designs for testing dielectric strength may range from the crude to the sophisticated, but the real point of this question is to challenge students to reason from the effects of high-voltage breakdown to a means of detecting when that takes place, and measuring the voltage needed for it to happen.
Published under the terms and conditions of the Creative Commons Attribution License
In Partnership with Future Electronics
by Lianne Frith
I used the second entry for Mica, phlogopite, at https://www.engineeringtoolbox.com/dielectric-strength-electrical-insulator-d_2185.html
with a dielectric strength of 31.5 E6 V/m.
My calculation using dimensional analysis: 50 mm x (10 E-3 m/1 mm) x (31.5 MV/m) = 1.58 MV
This is way off from 1 kV - what went wrong?
Could you just take a battery, two wires, a small and measured piece of the insulator, and connect one of the wires to one end of the material and then the other wire to the other end, and bracket the voltage from ammeter readings until a small enough range is found for the voltage at which the insulator becomes a conductor? Taking account of the size of the material, of course.
As for the measurement of V/m - is the measured distance for m from one end of the circuit to the other, rather than any particular length of the piece of material?