Given the impedance of sine AC circuit z = 3 + J4, calculate the resistance, reactance and power factor of the circuit

Given the impedance of sine AC circuit z = 3 + J4, calculate the resistance, reactance and power factor of the circuit

R = 3, reactance z = 5, power factor pf = cos (angle) = 4 / 5 = 0.8

Please tell me the difference between impedance and resistance

Impedance and resistance:;
In a circuit with resistance, inductance and capacitance, the blocking effect on alternating current is called impedance. Impedance is usually represented by Z. impedance consists of resistance, inductance and capacitance, but it is not a simple sum of them. The unit of impedance is Ohm
In direct current, the effect of an object on the current is called resistance,
In the field of alternating current, in addition to resistance, capacitance and inductance also hinder the flow of current. This effect is called reactance, which means resistance to current. The reactance of capacitance and inductance are respectively called capacitive reactance and inductive reactance, which are called capacitive reactance and inductive reactance for short. Their unit of measurement is Ohm like resistance, and their value is related to the frequency of alternating current, The higher the frequency is, the smaller the capacitive reactance is, and the larger the inductive reactance is. The lower the frequency is, the larger the capacitive reactance is, and the smaller the inductive reactance is. In addition, the capacitive reactance and the inductive reactance also have the problem of phase angle, which has the relationship in vector. Therefore, it is said that impedance is the sum of resistance and reactance in vector, In the series circuit of resistance, inductance and capacitance, the impedance of the circuit is generally larger than that of the resistance, that is, the impedance decreases to the minimum value. In the parallel circuit of inductance and capacitance, the impedance increases to the maximum value at resonance, which is opposite to that of the series circuit

When x satisfies what conditions, this formula is meaningful

√ x square - 2x + 1 = √ (x-1) square
Must be ≥ 0 under root
And (x-1) square constant ≥ 0
It is meaningful for any x, X ∈ all real numbers

If the equation 2x square a-2-3 = 0 is a linear equation with one variable, then a + 1=
If (2x square A-2) - 3 = 0, it is a linear equation with one variable, then a + 1=

Should be 2x ^ (A-2) - 3 = 0?
Because the form of the equation is y = KX + B
That is to say, the degree of X is 1
So A-2 = 1
That is, a = 3
So a + 1 = 3 + 1 = 4

x^4-8x^2-y^2+16
Using the factorial solution of the first two levels

x^4-8x^2-y^2+16
=(x^4-8x^2+16)-y^2
=(x^2-4)^2-y^2
=(x^2-4+y)(x^2-4-y)

When x ≤ 0, the result of simplifying | 1-x | - √ X & # 178; is______ .

|1-X|-√x²=1-x-(-x)=1

5x + 0 / x = 0, is this a linear equation with one variable

Yes
Because X / 0 = 0

Let a and B be matrices of order 3, and the determinant of a is 4, the determinant of B is 2, and the determinant of the inverse of a plus B is 2

For (a + B ^ (- 1)) right times B, for (a ^ (- 1) + b) left times a, take determinant, easy to get the answer

If the limit of {an} is a, it is proved that {(a1 + A2 +...) +The limit of an / N} is also a

Let an = a + BN
Then (a1 + A2 +...) +an)/n=a+(b1+b2+…… +bn)/n
When n > N, BN is infinitesimal
（b1+b2+…… +BN) / N is infinitesimal
（bN+1+…… +bn）/n

How to solve 6x = 4x 10

6x=4x 10
6x=40
x=40÷6
x=20/3