Rl va rc-zanjirlarini oʻzgaruvchan chastotalarda tadqiq etish

U=2 V;

R=1 kOm;

Generator chastotasini hisoblaymiz: f_G=R/2𝜋L

f_G=R=1000/2*3,14*34*10^-3=4,68*10³;

f₁=0,2*4,68*10⁶=0,924*10³ Hz

f₂ =0,5*4,68*10⁶=2.31*10³ Hz

f₃*=1*4,68*10⁶=4,68*10³ Hz

f₄*=1,5*4,68*10⁶=7,02*10³ Hz

f₅*=2*4,68*10⁶=9,24*10³ Hz

Zanjirdagi tokni qayidagi ifoda orqali hiosblab topamiz:

I=U/Z=U/((R²+(wL)²)^1/2)

bu yerda, 𝜔=2𝜋𝑓.

Shuning uchun avval tsiklik chastotani hiosblab olamiz:

𝜔𝑛=2𝜋𝑓𝑛

𝜔₁=2*3,14*0,924*10³=5803

𝜔₂=2*3,14*2.31*10³=14507

𝜔₃=2*3,14*4,68*10⁶=29390

𝜔₄=2*3,14*7,02*10⁶=43520

𝜔₅=2*3,14*9,24*10⁶=58025

Demak, yuqoridagilarga asoslanib tokni hisoblaymiz:

I₁=1,96*10^-3 A ; I₂=1,79*10^-3 A; I₃=1,41*10^-3 A; I₄=1,12*10^-3 A

I₅=0,9*10^-3 A ;

Qarshilikdagi kuchlanish pasayuvini hisoblaymiz:

U_R= RI=UR/Z=RU/((R²+(wL)²)^1/2) ; U_Rn=R*I_n;

U_R1=R*I₁=1000*1,96*10^-3=1,96V

U_R2=R*I₂=1000*1,79*10^-3=1,79V

U_R3=R*I₃=1000*1,41*10^-3 =1,41V

U_R4=R*I₄=1000*1,12*10^-3=1,12V

U_R5=R*I₅=1000*0,9*10^-3 =0,9V

Induktivlikdagi kuchlanish pasayuvini hisoblaymiz:

U_L= 𝜔 LI=U𝜔 L/Z=𝜔 LU/((R²+(wL)²)^1/2) ; U_Ln=R*I_n;

U_L1=0,034*5803*1,96*10^-3=0,386V;

U_L2=0,034*14507*1,79*10^-3=0,882V;

U_L3=0,034*29390*1,41*10^-3=1,4V;

U_L4=0,034 *43520*1,12*10^-3=1,65V;

U_L5=0,034*58025*0,9*10^-3=1,77V;

Fazani hisoblaymiz: ϕ=arctg(𝜔L/Z)= arctg(U_L/U_R);

ϕ _n= arctg(U_Ln/U_Rn);

ϕ ₁= arctg(0,386/1,96)=21,9^o

ϕ ₂= arctg(0,882/1,79)=26,2^o

ϕ ₃ = arctg(1,4/1,41)=44^o

ϕ ₄= arctg(1,65/1,12)=55,8^o

ϕ ₅= arctg(1,77/0,9)= 63, 3^o

Barcha hisoblangan qiymatlarni 4.2- jadvalga kiritamiz.

4.7- rasm. RL zanjir sxemasini NI MultiSim muhitida yigʻilgan holati