Question

1. The R = 650-W resistor, C = 4.0-mF capacitor, and L = 0.16-H inductor are connected in series to an AC (sinusoidal) source. What should be the maximum source voltage V₀ to have the maximum current I₀ = 0.15 A if the source frequency f=60 Hz?

Which of the following statements is/are correct. If the source frequency increases:

1. Inductive reactance decreases;
2. Capacitive reactance increases;
3. Inductive reactance increases;
4. Capacitive reactance decreases;
5. A and B;
6. C and D.

Answer 1

- y!! Z Given: R= 650 Impedence of the Cirwit is given by, in C= 4MF=4x1632 L= 0.16H. Z-TR’+ (x2-x2) Io = 0.15A f = 6043 (650)*7 (60.32-0.663) haya V.- ? where Za X ₂ = WL=(21f) L 426058.94 X ₂ = (2x60x0.16 Z = 652.722 [x = 60.32 ] Now, ㅗ / I. V. Z 652.7322 [X<= 0.6633] V.- 2.298x16' volt on & Xc? 0.15A 21fc 271 X 60x4x153 olt Ans Part-2 - if frequency increases then, Inductance (X2) reactance will increase & Capacitive (X) reactance will decrease. X = 27fL 27fL & Xe= 2тс ofhien-(F) is a correct Answer

Indutive Yeartance Capacitive realfance XL = 275L it at fa now If increase then * will increase but Xe will decrease. option (F) Corrent.

Answer 2

- y!! Z Given: R= 650 Impedence of the Cirwit is given by, in C= 4MF=4x1632 L= 0.16H. Z-TR’+ (x2-x2) Io = 0.15A f = 6043 (650)*7 (60.32-0.663) haya V.- ? where Za X ₂ = WL=(21f) L 426058.94 X ₂ = (2x60x0.16 Z = 652.722 [x = 60.32 ] Now, ㅗ / I. V. Z 652.7322 [X<= 0.6633] V.- 2.298x16' volt on & Xc? 0.15A 21fc 271 X 60x4x153 olt Ans Part-2 - if frequency increases then, Inductance (X2) reactance will increase & Capacitive (X) reactance will decrease. X = 27fL 27fL & Xe= 2тс ofhien-(F) is a correct Answer

Kindly upvote:)

Answer 3

5.

In RLC circuit,

Impedance is given by:

Z = sqrt (R^2 + (XL - Xc)^2)

R = 650 ohm

XL = w*L = 2*pi*f*L = 2*pi*60*0.16 = 60.31858 ohm

Xc = 1/(2*pi*f*C) = 1/(2*pi*60*4.0*10^-6) = 663.14560 ohm

Z = sqrt (650^2 + (60.31858 - 663.14560)^2) = 886.51 ohm

Now using ohm's law:

Vmax = Imax*Z

V0 = I0*Z

V0 = 0.15*886.51 = 132.9765 V

V0 = max source voltage = 133 V

5B.

XL = 2*pi*f*L

So Inductive reactance is directly proportional to the source frequency, which means if frequency is increased then Inductive reactance will also increase.

Xc = 1/(2*pi*f*C)

So Capacitive reactance is inversely proportional to the source frequency, which means if frequency is increased then Capacitive reactance will decrease.

Correct option is F. (C and D)

Let me know if you've any query.

Answer 4

Maximum valtage $V_0= I_0R= 0.15\times 650 = 97.5$ Volt.

Inductive reactance $X_L= 2\pi fL$

And Capacitive reactance $X_C= \frac{1}{2\pi fC}$

where are the frequency, capacitance and inductance.

So, if source frequncy increases, Inductive reactance increases and capacitive reactance decreases.

Ans: F. C and D.

Answer 5

series LCR circuit, maximum current is obtained when X_l=X_c

so the circuit behaves as purely resistive.

V=IZ

V=IR

V=0.15*650

=97.5 volt

inductive reactance, X_l=
- y!! Z Given: R= 650 Impedence of the Cirwit is given by, in C= 4MF=4x1632 L= 0.16H. Z-TR’+ (x2-x2) Io = 0.15A f = 6043 (650)*7 (60.32-0.663) haya V.- ? where Za X ₂ = WL=(21f) L 426058.94 X ₂ = (2x60x0.16 Z = 652.722 [x = 60.32 ] Now, ㅗ / I. V. Z 652.7322 [X<= 0.6633] V.- 2.298x16' volt on & Xc? 0.15A 21fc 271 X 60x4x153 olt Ans Part-2 - if frequency increases then, Inductance (X2) reactance will increase & Capacitive (X) reactance will decrease. X = 27fL 27fL & Xe= 2тс ofhien-(F) is a correct Answer
and capacitive reactance,
Indutive Yeartance Capacitive realfance XL = 275L it at fa now If increase then * will increase but Xe will decrease. option (F) Corrent.

so it is clear when frequency increases X_l increases and X_c decreases.

correct option=F

Answer 6

- y!! Z Given: R= 650 Impedence of the Cirwit is given by, in C= 4MF=4x1632 L= 0.16H. Z-TR’+ (x2-x2) Io = 0.15A f = 6043 (650)*7 (60.32-0.663) haya V.- ? where Za X ₂ = WL=(21f) L 426058.94 X ₂ = (2x60x0.16 Z = 652.722 [x = 60.32 ] Now, ㅗ / I. V. Z 652.7322 [X<= 0.6633] V.- 2.298x16' volt on & Xc? 0.15A 21fc 271 X 60x4x153 olt Ans Part-2 - if frequency increases then, Inductance (X2) reactance will increase & Capacitive (X) reactance will decrease. X = 27fL 27fL & Xe= 2тс ofhien-(F) is a correct Answer