Va kammunikatsiyalarini rivojlantirish vazirligi muhammad al-xorazmiy nomidagi toshkent axborot texnologiyalari universiteti

Generator chastotasini hisoblaymiz: 𝐟 =1/(2∗𝜋∗𝑅∗𝐶)=1/(2∗3.14∗10∗10⁻⁶)=

=15.9 𝑘𝐻𝑧;

Zanjirdagi tokni quyidagi ifoda orqali hisoblaymiz:

𝐼 =𝑈/𝑍=(√𝑅²+(1/(𝓌∗𝐶))²)

Bu yerda, 𝜔 = 2 ∗ 𝜋 ∗ 𝑓

f=(0.2; 0.5; 1; 1.5; 2)

Shuning uchun avval tsiklik chastotasini hisoblab olamiz:

𝜔_𝑛= 2 ∗ 𝜋 ∗ 𝑓_𝑛

𝜔₁= 2 ∗ 3.14 ∗ 0.2 ∗ 15900 = 19.9 ∗ 10³𝑟𝑎𝑑/𝑠

𝜔₂= 2 ∗ 3.14 ∗ 0.5 ∗ 15900 = 49.9 ∗ 10³𝑟𝑎𝑑/𝑠

𝜔₃= 2 ∗ 3.14 ∗ 1 ∗ 15900 = 99.8 ∗ 10³𝑟𝑎𝑑/𝑠

𝜔₄= 2 ∗ 3.14 ∗ 1.5 ∗ 15900 = 149.7 ∗ 10³𝑟𝑎𝑑/𝑠

𝜔₅= 2 ∗ 3.14 ∗ 2 ∗ 15900 = 199.7 ∗ 10³𝑟𝑎𝑑/𝑠

Yuqoridagilardan endi tokni topib olamiz:

𝐼₁=2/(√(1∗10³)²+(1/(19.9∗10³∗10∗10⁻⁹))²)= 3.9 ∗ 10⁻⁴𝐴

𝐼₂=2/(√(1∗10³)²+(1/(49.9∗10³∗10∗10⁻⁹))²)= 8.9 ∗ 10⁻⁴𝐴

𝐼₃=2/(√(1∗10³)²+(1/(99.8∗10³∗10∗10⁻⁹)²)= 1.4 ∗ 10⁻³𝐴

𝐼₄=2/(√(1∗10³)²+(1/(149.7∗10³∗10∗10⁻⁹)²)= 1.66 ∗ 10⁻³𝐴

𝐼₅=2/(√(1∗10³)²+(1/(199.7∗10³∗10∗10⁻⁹)²)= 1.78 ∗ 10⁻³𝐴

Qarshilikdagi kuchlanish pasayuvini hisoblaymiz:

U_R=R*I=U*R/Z=RU/√(R²+(1/( 𝜔*C)²))

𝑈_𝑅1= 𝑅 ∗ 𝐼₁= 1 ∗ 10³∗ 3.9 ∗ 10⁻⁴= 0.39 𝑉

𝑈_𝑅2= 𝑅 ∗ 𝐼₂= 1 ∗ 10³∗ 8.9 ∗ 10⁻⁴= 0.89 𝑉

𝑈_𝑅3= 𝑅 ∗ 𝐼₃= 1 ∗ 10³∗ 1.4 ∗ 10⁻³= 1.4 𝑉

𝑈_𝑅4= 𝑅 ∗ 𝐼₄= 1 ∗ 10³∗ 1.66 ∗ 10⁻³= 1.66 𝑉

𝑈_𝑅5= 𝑅 ∗ 𝐼₅= 1 ∗ 10³∗ 1.78 ∗ 10⁻³= 1.78 𝑉

Sig’imdagi kuchlanish pasayuvini aniqlaymiz:

U_C=I/( 𝜔 *C)=U/( 𝜔 *C*Z)=U/( 𝜔*C*√R²+(1/( 𝜔*C)²))

𝑈_𝐶1=𝐼₁/(𝜔₁∗𝐶)=3.9∗10⁻⁴/19.9 ∗10³∗10∗10⁻⁹= 1.95 𝑉

𝑈_𝐶2=𝐼₂/(𝜔₂∗𝐶)=8.9∗10⁻⁴/49.9 ∗10³∗10∗10⁻⁹= 1.78 𝑉

𝑈_𝐶3=𝐼₃/(𝜔₃∗𝐶)=1.4∗10⁻³/99.8 ∗10³∗10∗10⁻⁹= 1.4 𝑉

𝑈_𝐶4=𝐼₄/(𝜔₄∗𝐶)=1.66∗10⁻³/149.7 ∗10³∗10∗10⁻⁹= 1.108 𝑉

𝑈_𝐶5=𝐼₅/(𝜔₅∗𝐶)=1.78∗10⁻³/199.7 ∗10³∗10∗10⁻⁹= 0.891𝑉

Fazani hisoblaymiz:

𝜑₁= −𝑎𝑟𝑐𝑡𝑔*𝑈_𝐶1/𝑈_𝑅1= −𝑎𝑟𝑐𝑡𝑔*1.95/0.390 = −78.5

𝜑₂= −𝑎𝑟𝑐𝑡𝑔*𝑈_𝐶2/𝑈_𝑅2= −𝑎𝑟𝑐𝑡𝑔*1.78/0.893= −63.4

𝜑₃= −𝑎𝑟𝑐𝑡𝑔*𝑈_𝐶3/𝑈_𝑅3= −𝑎𝑟𝑐𝑡𝑔*1.4/1.4= −45

𝜑₄= −𝑎𝑟𝑐𝑡𝑔*𝑈_𝐶4/𝑈_𝑅4= −𝑎𝑟𝑐𝑡𝑔*1.108/1.66= −33.8

𝜑₅= −𝑎𝑟𝑐𝑡𝑔𝑈𝐶5𝑈𝑅5= −𝑎𝑟𝑐𝑡𝑔0.891/1.78= −26.7

Barcha hisoblangan qiymatlarni jadvalga kiritamiz:

Ishni bajarish

2-rasmda keltirilgan seximani NI MULTISIM muritida yiging.

1-rasm. NI Multisim dasturiy muhitida rasmdagidek yig’ib olamiz.

2-rasm. Fazometr parametrlari rostlangan holati.

3-rasm. Hosil bo’lgan signalning ko’rininshi

Hisoblash va o’lchov natijalari

Dastlabki hisoblashlar	fC=5680 Hz	0.2fG	0.5 fG		fG	1.5fG	2fG
	f, Hz	3180	7950		15900	23850	31800
	UR	0.391	0.893		1.41	1.66	1.78
	𝝋, grad	-78.5	-63.4		-45	-33.8	-26.7
	i UC, V	1.95	1.78		1.41	1.108	0.891
Tajribada o’lchash	i UR, V	2.84	0.709		1.418	2.127	2.836
	𝝋, grad	-78.44	-63.41		-45.05	-30.85	-26.823
	U, V	1.414	1.414		1.413	1.023	0.894

4-rasm. UR=f(fG) bo’yicha hosil bo’lgan grafik

5-rasm. UC=f(fG) bo’yicha hosil bo’lgan grafik

6-rasm. 𝝋=f(fG) bo’yicha hosil bo’lgan grafik

Xulosa

Bu laboratoriya ishida har xil chastotalarda RC zanjiri kuchlanishlari qiymatlari hamda garmonik tok va kuchlanish orasidagi fazalar siljishini eksperimental aniqlashni o’rgandim. NI dasturiy muhiti yordamida fazometr ishlashini va ikki garmonik qiymatlar orasidagi fazalar farqini fazometr yordamida o’lchadim. Osillograf orqali hosil bo’lgan signalning grafigini hosil qildim va amaliy ko’nikmaga ega bo’ldim.