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Originally posted by garrettm4
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Jake,
1) L, Leakage Inductance
Q - "The big magnetic fields that push our motors?"
A - My answer would be a resounding NO, leakage inductance can only store energy it CAN NOT TRANSFER ENERGY, thus it would only act as an IMPEDANCE and not as an ADMITTANCE required for the electrical to mechanical transfer of energy to create motion in a motor. The leakage inductance is the exact thing we try to get rid of when designing a motor, and is not something we usually want. There are times when a small leakage inductance can be helpful, this is only when there is a short circuit and the impedance of the leakage inductance prevents catastrophic failure by LIMITING the current of the short circuit.
2) M, Mutual Inductance
Q - "Energy stored in counterspace/innerspace?"
A - Magnetic energy as explained by Mr. Dollard is stored in Normal Space, not the "counter space" as explained by him. Mutual induction of the magnetic field is that which transfers energy in-between two separate coils, there is no storage of energy here, only the transfer of energy from one distinct coil to another. This topic can be found to yield many interesting and practical insights, but I will leave this subject for another time.
3) C, Leakage Capacitance
Q - "The field created by an electrostatic generator, or in a vacuum capacitor?"
A - Inside the vacuum capacitor there is NO LEAKAGE CAPACITANCE, this is normal SELF CAPACITANCE, although if at high frequency, when small capacities are physically meaningful, there is a leakage capacitance associated with the vacuum capacitors outer plate to ground (or any and all surroundings) (and on the topic of high frequencies, EVERYTHING has an associated leakage capacitance). Furthermore, only "quantum physicists" think a vacuum capacitor operates differently from any other capacitor type, at the end of the day there is little to NO difference, aside from the SPEED of DISCHARGE (which is due to permittivity affecting the manifest "velocity of light"). The electrostatic generator is a highly complex induction machine which converts mechanical energy (or seemingly this is the source) to electrostatic potential stored in a condenser. There may undoubtedly be a leakage capacitance associated with the electrostatic generators operation, but don't try to fool yourself into thinking that (leakage capacity) is the only thing going on during operation.
4) K, Mutual Capacitance
Q - "Energy stored in counterspace/innerspace?"
A -ALL DIELECTRIC ENERGY IS CONSIDERED AS A COUNTER SPATIAL ENERGY. Thus, the storage of dielectric energy is greater when there is MORE counter space for the energy to occupy. This can be looked at as the RECIPROCAL of SPACE or a "large space" divided into the "unit" (1) is an equally large "counter space". This is seen in the design of a capacitor, the closer the plates are the more "storage" or "capacity" the capacitor has, it's that simple.
5) Bonus Question on Capacity of a Wire
Q - "On a 20 secondary with spaced windings does approaching the coil with your hand increase its mutual capacity K, or its self capacity C??? but before you answer think what would happen if you had a long straight wire and could measure it's C. What would happen to the meter if you approached the wire?"
A - This is an interesting question and the answer is dependent upon perspective, how do you plan to measure the capacitance? This question answers your question but doesn't really give an answer, so lets work our way through this. First, ALL METALLIC SURFACES HAVE A DEFINITE CAPACITY REGARDLESS OF BEING REFERENCED WITH ANOTHER METALLIC SURFACE. When we measure a capacity we usually place TWO metallic surfaces of interest as close together as possible, we unwittingly try to make lumped elements. When considering a distributed capacity we generally can no longer use the methods and understanding of lumped elements, here lies the problem of measurement, how do we measure only one surface? Well there are techniques to do this but are beyond the scope of your question and my answer. So more to the point, the measurement of capacity is a problem of reference and THERE ARE MULTIPLE CAPACITIES ASSOCIATED WITH THE WIRE IN YOUR QUESTION and consequently multiple answers. An outstretched wire will have a greater "free-space capacity" while the coiled wire will have a greater self capacity to any-one object. Moving your hand closer increases C (leakage capacity) not K (mutual capacity). K is when there are multiple C's that are mutually connected with one another, or MULTIPLE separate metallic surfaces linked via dielectric flux, this in the secondary is seen in-between turns.
Garrett M
1) L, Leakage Inductance
Q - "The big magnetic fields that push our motors?"
A - My answer would be a resounding NO, leakage inductance can only store energy it CAN NOT TRANSFER ENERGY, thus it would only act as an IMPEDANCE and not as an ADMITTANCE required for the electrical to mechanical transfer of energy to create motion in a motor. The leakage inductance is the exact thing we try to get rid of when designing a motor, and is not something we usually want. There are times when a small leakage inductance can be helpful, this is only when there is a short circuit and the impedance of the leakage inductance prevents catastrophic failure by LIMITING the current of the short circuit.
2) M, Mutual Inductance
Q - "Energy stored in counterspace/innerspace?"
A - Magnetic energy as explained by Mr. Dollard is stored in Normal Space, not the "counter space" as explained by him. Mutual induction of the magnetic field is that which transfers energy in-between two separate coils, there is no storage of energy here, only the transfer of energy from one distinct coil to another. This topic can be found to yield many interesting and practical insights, but I will leave this subject for another time.
3) C, Leakage Capacitance
Q - "The field created by an electrostatic generator, or in a vacuum capacitor?"
A - Inside the vacuum capacitor there is NO LEAKAGE CAPACITANCE, this is normal SELF CAPACITANCE, although if at high frequency, when small capacities are physically meaningful, there is a leakage capacitance associated with the vacuum capacitors outer plate to ground (or any and all surroundings) (and on the topic of high frequencies, EVERYTHING has an associated leakage capacitance). Furthermore, only "quantum physicists" think a vacuum capacitor operates differently from any other capacitor type, at the end of the day there is little to NO difference, aside from the SPEED of DISCHARGE (which is due to permittivity affecting the manifest "velocity of light"). The electrostatic generator is a highly complex induction machine which converts mechanical energy (or seemingly this is the source) to electrostatic potential stored in a condenser. There may undoubtedly be a leakage capacitance associated with the electrostatic generators operation, but don't try to fool yourself into thinking that (leakage capacity) is the only thing going on during operation.
4) K, Mutual Capacitance
Q - "Energy stored in counterspace/innerspace?"
A -ALL DIELECTRIC ENERGY IS CONSIDERED AS A COUNTER SPATIAL ENERGY. Thus, the storage of dielectric energy is greater when there is MORE counter space for the energy to occupy. This can be looked at as the RECIPROCAL of SPACE or a "large space" divided into the "unit" (1) is an equally large "counter space". This is seen in the design of a capacitor, the closer the plates are the more "storage" or "capacity" the capacitor has, it's that simple.
5) Bonus Question on Capacity of a Wire
Q - "On a 20 secondary with spaced windings does approaching the coil with your hand increase its mutual capacity K, or its self capacity C??? but before you answer think what would happen if you had a long straight wire and could measure it's C. What would happen to the meter if you approached the wire?"
A - This is an interesting question and the answer is dependent upon perspective, how do you plan to measure the capacitance? This question answers your question but doesn't really give an answer, so lets work our way through this. First, ALL METALLIC SURFACES HAVE A DEFINITE CAPACITY REGARDLESS OF BEING REFERENCED WITH ANOTHER METALLIC SURFACE. When we measure a capacity we usually place TWO metallic surfaces of interest as close together as possible, we unwittingly try to make lumped elements. When considering a distributed capacity we generally can no longer use the methods and understanding of lumped elements, here lies the problem of measurement, how do we measure only one surface? Well there are techniques to do this but are beyond the scope of your question and my answer. So more to the point, the measurement of capacity is a problem of reference and THERE ARE MULTIPLE CAPACITIES ASSOCIATED WITH THE WIRE IN YOUR QUESTION and consequently multiple answers. An outstretched wire will have a greater "free-space capacity" while the coiled wire will have a greater self capacity to any-one object. Moving your hand closer increases C (leakage capacity) not K (mutual capacity). K is when there are multiple C's that are mutually connected with one another, or MULTIPLE separate metallic surfaces linked via dielectric flux, this in the secondary is seen in-between turns.
Garrett M
For example mutual capacitance K and mutual inductance M. Eric has units of per Henry and per Farad for these terms.
Do these units agree with your statements?
i.e. when you talk about mutual inductance M, according to your definition is it in units of per/Henry.
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