Inductance calculation of series and parallel circuits?

Characteristics of series connection: the current flowing through each inductor is the same;
Ltotal = L1 + L2 + L3
The voltage of each inductor is equal to the product of its inductance value and current;
The total voltage is equal to the sum of the voltages of the inductors
Characteristics of parallel connection: the voltage at both ends of each inductor is the same;
1/L=1/L1+1/L2+1/L3
The current of each inductor is equal to the quotient of its voltage and self inductance;
The total current is equal to the sum of the currents of each inductor

What circuit is capacitance and resistance in series

This is a series resonance circuit. What is series resonance and what are its characteristics?
In the series circuit of resistance, capacitance and inductance, the phenomenon of power supply, voltage and current in the same phase is called series resonance. Its characteristics are: the circuit is pure resistive, power supply, voltage and current in the same phase, reactance x equals 0, impedance Z equals resistance R. at this time, the impedance of the circuit is the smallest and the current is the largest, which may produce a high voltage many times larger than the power supply voltage on the inductance and capacitance, Therefore, series resonance is also called voltage resonance

Impedance calculation method of series connection of resistance, inductance and capacitor

How to find impedance in the circuit of resistance, inductance and capacitor in series?
R = 8 Ω, XL = 10 Ω, XC = 4 Ω, which is the offset?

X = √ (R ^ 2 + (xl-xc) ^ 2), so x = 10 Ω

The existence of limit of F '(x) when f (x) is continuous at x0 and X → X0

It is to prove that the derivative function has no first kind of discontinuity
See resources for details

0.5 times 2.33 times 8? 1.5 times 105?

The distance between the middle point of the chord of the line passing through the point P (- 2. - 2) and the line y = x + 3 cut by the circle x ^ 2 + y ^ 2 = 4 is two root sign 2

Because point P is outside the circle, the slope of the line passing through P and intersecting with the circle exists. Let K be K, the equation is y = K (x + 2) - 2, and the intersection of the circle and point P is a (x1, Y1), B (X2, Y2) and x ^ 2 + y ^ 2 = 4. The distance between (1 + K ^ 2) x ^ 2 + 4K (K + 1) x + 8K + 4K ^ 2 = 0  X1 + x2 = - 4K (K + 1) / (1 + K ^ 2) chord midpoint and line y = x + 3 is 2 root sign

2100 / 42

Decompose 2100 into 7 times 300, 7 * 300 / 42, 7 in 42, and 300 / 6300 / 6 is equal to 50

The line passing through point P (8,1) intersects hyperbola x2-4y2 = 4 at two points a and B, and P is the midpoint of line ab. the equation of line AB is obtained

Let a (x1, Y1), B (X2, Y2), then X1 + x2 = 16, Y1 + y2 = 2, ∵ x12-4y12 = 4, x22-4y22 = 4, ∵ 16 (x1-x2) - 8 (y1-y2) = 0, ∵ KAB = 2, ∵ the equation of straight line is Y-1 = 2 (X-8), that is, 2x-y-15 = 0

When solving the equation 3x-5 = (?) x + 2, a student misinterprets the number at (?) and gets x = minus 2 / 3, then what is the value at (?)?
X is the unknown number in the equation, which means the equation

x=-2/3
So 3 × (- 2 / 3) - 5 =? × (- 2 / 3) + 2
-2-7-2=?×(-2/3)
?×(-2/3)=-11
?=-11÷(-2/3)
?=16.5

Inductance calculation of series and parallel circuits?