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An induction heating apparatus includes a measurement device for indicating an electrical resistance of a material to be heated. A controller is configured for energizing an inductor in response to the indicated resistance. An inductor may be energized with an alternating current, a characteristic

An induction heating apparatus includes a measurement device for indicating an electrical resistance of a material to be heated. A controller is configured for energizing an inductor in response to the indicated resistance. An inductor may be energized with an alternating current, a characteristic of which may be selected in response to an indicated electrical resistance. Alternatively, a temperature of the material may be indicated via measuring the electrical resistance thereof and a characteristic of an alternating current for energizing the inductor may be selected in response to the temperature. Energizing the inductor may minimize the difference between a desired and indicated resistance or the difference between a desired and indicated temperature. A method of determining a temperature of at least one region of at least one material to be induction heated includes correlating a measured electrical resistance thereof to an average temperature thereof.

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What is claimed is: 1. A method of operating an induction heating apparatus, comprising: providing a crucible having a wall disposed about a longitudinal axis and a bottom extending generally radially inwardly from the wall toward the longitudinal axis; cooling the wall of the crucible; providing a

What is claimed is: 1. A method of operating an induction heating apparatus, comprising: providing a crucible having a wall disposed about a longitudinal axis and a bottom extending generally radially inwardly from the wall toward the longitudinal axis; cooling the wall of the crucible; providing at least one material within the crucible; providing an inductor proximate the crucible and in operable communication with an induction heating circuit including a power source; indicating an electrical resistance of the at least one material; selecting at least one alternating current characteristic in response to the indicated electrical resistance of the at least one material; and energizing the inductor with an alternating current exhibiting the at least one selected alternating current characteristic. 2. The method of claim 1, wherein selecting the at least one alternating current characteristic comprises selecting at least one of a frequency and an amplitude of the alternating current. 3. The method of claim 1, further comprising melting the at least one material within the crucible to form a molten material substantially filling the crucible. 4. The method of claim 1, wherein the at least one alternating current characteristic is selected for minimizing a difference between a desired electrical resistance and the indicated electrical resistance of the at least one material. 5. The method of claim 4, wherein minimizing the difference between the desired electrical resistance and the indicated electrical resistance of the at least one material comprises causing the indicated electrical resistance of the at least one material to change. 6. The method of claim 4, further comprising: modeling the induction heating circuit including the inductor, the at least one material, and the power source; and calculating the indicated electrical resistance of the at least one material by mathematical analysis of the modeling of the induction heating circuit in combination with at least one measurement of at least one electrical characteristic of the induction heating circuit. 7. The method of claim 4, further comprising energizing the inductor in response to the difference between the desired electrical resistance and the indicated electrical resistance of the at least one material. 8. The method of claim 7, further comprising implementing a feedback control loop configured for energizing the inductor to minimize the difference between the desired electrical resistance and the indicated electrical resistance of the at least one material. 9. The method of claim 8, wherein the feedback control loop implements a proportional, integral, and derivative type control algorithm. 10. The method of claim 8, wherein the feedback control loop includes an estimator for estimating a value of the indicated electrical resistance of the at least one material. 11. The method of claim 1, further comprising selecting at least one region of the at least one material for determining the electrical resistance thereof. 12. The method of claim 11, wherein selecting the at least one alternating current further comprises selecting at least one of a frequency and an amplitude. 13. The method of claim 1, further comprising heating a susceptor positioned within the crucible by energizing the inductor. 14. The method of claim 13, further comprising observing the susceptor. 15. The method of claim 14, wherein observing the susceptor comprises determining a position of the susceptor. 16. The method of claim 14, wherein observing the susceptor comprises determining if at least a portion of the at least one material within the crucible has melted. 17. A method of operating an induction heating apparatus, comprising: providing a crucible having a wall disposed about a longitudinal axis and a bottom extending generally radially inwardly from the wall toward the longitudinal axis; cooling the wall of the crucible; providing at least one material within the crucible; providing an inductor proximate the crucible and in operable communication with an induction heating circuit including a power source; indicating a temperature of the at least one material by measuring an electrical resistance of the at least one material and correlating the measured electrical resistance to the temperature thereof; selecting at least one alternating current characteristic in response to the indicated temperature of the at least one material; and energizing the inductor with an alternating current exhibiting the at least one selected alternating current characteristic. 18. The method of claim 17, wherein selecting the at least one alternating current characteristic comprises selecting at least one of a frequency and an amplitude. 19. The method of claim 17, further comprising melting the at least one material within the crucible to form a molten material substantially filling the crucible. 20. The method of claim 17, wherein the at least one alternating current characteristic is selected for minimizing a difference between a desired temperature and the indicated temperature of the at least one material. 21. The method of claim 20, wherein minimizing the difference between the desired temperature and the indicated temperature of the at least one material comprises causing the measured electrical resistance of the at least one material to change. 22. The method of claim 20, further comprising: modeling the induction heating circuit including the inductor, the at least one material, and the power source; and calculating the measured electrical resistance of the at least one material by mathematical analysis of the modeling of the induction heating circuit in combination with at least one measurement of at least one electrical characteristic of the induction heating circuit. 23. The method of claim 20, further comprising energizing the inductor in response to difference between the desired temperature and the indicated temperature of the at least one material. 24. The method of claim 20, further comprising implementing a feedback control loop configured for energizing the inductor to minimize the difference between the desired temperature and the indicated temperature of the at least one material. 25. The method of claim 23, further comprising implementing a PID algorithm within the feedback control loop. 26. The method of claim 23, further comprising implementing an estimator for estimating a value of the measured electrical resistance of the at least one material within the feedback control loop. 27. The method of claim 17, further comprising selecting at least one region of the at least one material for measuring an electrical resistance thereof. 28. The method of claim 27, wherein selecting the at least one alternating current characteristic comprises selecting at least one of a frequency and an amplitude of the alternating current for energizing the inductor. 29. The method of claim 17, further comprising heating a susceptor positioned within the crucible by energizing the inductor. 30. The method of claim 29, further comprising observing the susceptor. 31. The method of claim 30, wherein observing the susceptor comprises determining a position of the susceptor. 32. The method of claim 30, wherein observing the susceptor comprises determining if at least a portion of the at least one material within the crucible has melted. 33. A method of determining a temperature of at least one material within an induction heating apparatus, comprising: providing a crucible having a wall disposed about a longitudinal axis and a bottom extending generally radially inwardly from the wall toward the longitudinal axis; cooling the wall of the crucible; providing at least one material within the crucible; providing an inductor proximate the crucible in operable communication with an induction heating circuit including a power source; measuring an electrical resistance of at least one region of the at least one material within the crucible; and determining a temperature of the at least one region of the at least one material by correlating the measured electrical resistance of the at least one region of the at least one material to a temperature thereof. 34. The method of claim 33, wherein: measuring the electrical resistance of the at least a region of the at least one material within the crucible comprises measuring the electrical resistance of more than one region of the at least one material within the crucible; and determining the temperature of the at least one region of the at least one material comprises determining a temperature of each of the more than one region of the at least one material by correlating the measured electrical resistance of each of the more than one region of the at least one material to a temperature thereof, respectively. 35. The method of claim 34, wherein measuring the electrical resistance of more than one region of the at least one material within the crucible comprises generating a skin depth corresponding to each of the more than one region, respectively, of an electromagnetic flux of the inductor within the at least one material. 36. The method of claim 33, further comprising: modeling the induction heating circuit including the inductor, the at least one material, and the power source; and calculating the electrical resistance of at least a region of the at least one material via mathematical analysis of the modeling of the induction heating circuit in combination with at least one measurement of at least one electrical characteristic of the induction heating circuit. 37. An induction heating apparatus, comprising: a crucible; a cooling structure disposed about the crucible for cooling thereof; an inductor disposed proximate the crucible; an induction heating circuit including a power supply having an electrical output operably coupled to the inductor and configured for delivering an alternating current therethrough; a measurement device configured for indicating an electrical resistance of an anticipated at least one material positioned within the crucible for inductive heating via energizing the inductor; and a controller configured for selecting at least one characteristic of the alternating current for energizing the inductor in response to the indicated electrical resistance of the anticipated at least one material. 38. The induction heating apparatus of claim 37, wherein the controller is configured for minimizing a difference between a desired electrical resistance and the indicated electrical resistance of the anticipated at least one material. 39. The induction heating apparatus of claim 37, wherein the controller is configured for selecting at least one of a frequency and an amplitude of the alternating current for energizing the inductor. 40. The induction heating apparatus of claim 39, further comprising at least one sensor for measuring at least one electrical property of the induction heating circuit for indicating the electrical resistance of the anticipated at least one material. 41. The induction heating apparatus of claim 37, further comprising a susceptor configured for heating the anticipated at least one material, when positioned within the crucible by contact therewith, wherein the susceptor is sized and configured for inductive heating by way of energizing the inductor.