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Excuse me: some problems of u = U1 + U2 (string) u = U1 = U2 (Union) Excuse me: u = U1 + U2 (string) u = U1 = U2 (parallel) I = I1 = I2 (string) I = I1 + I2 (parallel) Are the laws of these junior high school experiments only applicable to pure resistance circuits? Not a pure resistance circuit? More detailed points lead to deeper knowledge.
Ohm's law is also applicable to capacitance and inductance in non pure resistance circuit, but it is not resistance at this time, but inductive reactance and capacitive reactance are used to express the blocking effect on current. In non pure resistance circuit, most of them are AC power supply, the voltage phase of capacitor is 90 degrees ahead of current, capacitive reactance XC = 1 / ω C, and inductance is 90 degrees ahead of current, Inductive reactance XL = ω l the impedance of RLC circuit in series with resistor, capacitor and inductor is a function of the angular frequency of power supply, i.e. impedance z = R + J (ω L-1 / ω C)
U = U1 + U2 (Series) u = U1 = U2 (parallel)
I = I1 = I2 (string) I = I1 + I2 (parallel)
It is still applicable and needs to be calculated by complex number, because it involves the problem of phase
Nonlinear circuits can be extended to study chaotic effects
The fundamental reason of chaotic motion is the nonlinearity of the motion equation. Chaotic motion has inherent randomness and is very sensitive to the initial value. If there is a slight difference between the initial values of the two motions, there will be a large and unpredictable deviation after a long time, Chaos is a universal phenomenon in nature
RELATED INFORMATIONS
- 1. If the series ∑ (n = 1) UN converges and the series ∑ (n = 1) VN diverges, try to prove that the series ∑ (n = 1) (UN + VN) diverges and find the detailed solution. Thank you
- 2. The convergence of series UN ^ 2 is proved
- 3. Let the series un-un-1 converge and the series VN converge, and prove the absolute convergence of the series UN VN
- 4. Let the positive series ∑ UN and ∑ VN converge. It is proved that ∑ (UN + VN) ^ 2 also converges ……
- 5. Let LIM (n →∞) na_ N exists and the series ∑ (n = 1 →∞) n (a)_ n-a_ It is proved that the series ∑ (n = 1 →∞) a is convergent_ N convergence
- 6. Prove Lim n →∞ n ^ n / (n!) ^ 2 = 0 by using necessary conditions of series convergence
- 7. Prove Lim n - > infinite n ^ n / (n!) ^ 2 = 0 by using necessary conditions of series convergence Please
- 8. Find the convergence and divergence of a series. LIM (n tends to infinity) is one of the nth power of the sum of 1 + 1 / N. find the convergence and divergence of this series
- 9. LIM (n →∞) un * n = 0, then the series ∑ UN converges?
- 10. Finding limit LiMn →∞ (n-1) ^ 2 / (n + 1) Limit: LiMn →∞ (n-1) ^ 2 / (n + 1) Is to find the limit of the square of (n-1) divided by (n + 1) when n approaches infinity I think we can use that formula, that is, n tends to infinity, and the limit is determined by the degree of N, because the upper side is the square of N, and the lower side is the first power of N, so I think it should be ∞ But the answer is + ∞. How does that work out? The upper part of the fractional line should be approaching positive infinity. Will the positive infinity of the answer come like this This is not a series limit problem, just a common function limit problem, there should be no statement that n must approach positive infinity, right?
- 11. When U1 > 4, UN + 1 = 3un / 4 + 4 / UN, n →∞, UN → x, find X
- 12. Let U1 = 1, U2 = 1, UN + 1 = 2un + 3un-1 (n = 2,3,...) ) bn=Un/Un+1(n=2,3,…… ）Prove the existence of limbn, and discuss the convergence and divergence of series 1 / UN Here is my own solution The characteristic equation is R ^ 2-2r-3 = 0, R1 = - 1, R2 = 3, the general solution U (n) = C1 * (- 1) ^ n + C2 * 3 ^ n, UN = 3 ^ n-3 * (- 1) ^ n] / 6, then BN = 1 / 3, and then find the reciprocal of BN to get the divergence But I don't think it's right. Eigenvalue? Will solve, the original difference equation, I did not want to be detailed
- 13. Given the partial sum of series Sn = 2n / N + 1, find U1, U2, UN
- 14. Given U1 = 1, U2 = 2, find UN = 2U (n-2) + U (n-1) + 1 Solve how to deduce the general term formula
- 15. Why is the current I equal and the voltage u always = U1 + U2 +... UN when the circuit is in series
- 16. If ∑ UN converges, does ∑ u2n converge? Conversely, does ∑ u2n converge and ∑ UN converge?
- 17. It is proved that if the series ∑ UN satisfies (1) Limun = 0, (2) ∑ (u2n-1 + u2n) convergence, then ∑ UN converges
- 18. A series ∑ UN converges. How can we prove that its odd term ∑ u2n-1 also converges?
- 19. If the series UN converges to s, then the series (UN + UN + 1) converges to s
- 20. If the series ∑ UN converges to s, the series ∑ [UN + UN + 1] converges to s {n from 1 to infinity}