There is a kind of electrical calculation problem for the stagnation of stagnation and stagnation. The physical quantity provided in the title has no specific value. It is more abstract. After applying the physical concept and formula to formulate the equation, there will usually be more unknown physical quantities than equations. In the case of numbers, this is mathematically called an indefinite equation. Most students are troubled when they encounter such problems. How to solve the physical indeterminate equations? Let's introduce two common methods to you as an example.
The rated voltage of the electric heater A and the electric heater B is the same, and the electric resistance of A is three times that of B. If the heater A is connected in series with the resistor i, it is connected between the two poles of the power supply, and the power consumed by A is 25W. If the heater B is connected in series with the resistor J and still connected between the two poles of the original power supply, the power consumed by B is 27W. Knowing that the power supply voltage is equal to the rated voltage of the electric heater A, then, the rated power of the electric heater A is W, and the rated value of the electric heater B (2001 No. 18 of Wuxi City Exam Questions) solves the equation of the first column. Set the power supply voltage to /, the resistance of the heater A and the heater B are iA and only 3. As shown in Figure (l)a, the current in the circuit when the ruler 4 is connected in series: as shown in Figure (1) : Substituting =3JB into (3) can be obtained: Substituting | into (4) can be obtained: solution 2 equations are solved as shown in (l) a, 6: (3) is substituted (4) ) can be obtained: simplification can be obtained: i will (5) generation (2) can be obtained:: iB =, substituted (6) can be obtained: in the above solution, by finding U, The value of iA, ruler fl, and J is impossible. Solving as a whole is the key to answering such questions.
Second, use the assignment method to solve the solution 3 set ifl=in then =3n, the power supply voltage is i /. When connected with i: the solution: i = Lu n will (3) generation (2) available: L / corpse 4 solution 4 set the power supply voltage L7 = 10V when iA and the ruler in series: when iB and only in series: by (1), (2) two types: IA-h generation data available: A =3iB substitution (3) can be obtained: rb = = t In the solution 3, the resistance of the electric heater B is assigned 2fi, 3n, 5fl..., which can not affect the answer. In Solution 4, the power supply voltage can also be assigned to IV, 2V, 3.5V..., which also does not affect the result. Think about why this is the case. Using the devaluation method to solve such indeterminate equations can be abstracted into concrete, so that the difficult problems can be solved smoothly.
(:2002-06 I skillful use of knowledge, \Laiyang City, Shandong Province experiment 2 (265200) Ye Hulin|Shandong Laiyang Experimental High School (265200) Zhu Ying mathematics knowledge is an indispensable tool for solving physics knowledge, teaching, pay attention Teaching students to use mathematical methods to solve physical problems can not only improve students' ability to deal with physical problems, but also cultivate students' good thinking style and comprehensive ability.
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