The instantaneous values of current and voltage in an ac circuit are I = 100 s i n ( 314 ) t A and E = 200 s i n ( 314 t + π 3 ) V respectively. If the resistance is 1W then the reactance of the circuit will be Options: A . &nbsp−200√3Ω B . &nbsp√3Ω C . &nbsp−200√3Ω D . &nbsp100√3 Ω

Answer: Option B : B V 0 = i o Z ⇒ 200 = 100 Z ⇒ Z = 2 Ω Also Z 2 = R 2 + X 2 L ⇒ ( 2 ) 2 = ( 1 ) 2 + X 2 L ⇒ X L = √ 3 Ω

The instantaneous values of current and voltage in an ac circuit are I=100sin(31

Question

The instantaneous values of current and voltage in an ac circuit are

I = 100 s i n (314) t

A and

E = 200 s i n (314 t + \frac{π}{3}) V

respectively. If the resistance is 1W then the reactance of the circuit will be

Options:

A . −200√3Ω

B . √3Ω

C . −200√3Ω

D . 100√3 Ω

Answer: Option B
:
B

V_{0} = i_{o} Z \Rightarrow 200 = 100 Z \Rightarrow Z = 2 Ω

Also

Z^{2} = R^{2} + X_{L}^{2} \Rightarrow (2)^{2} = (1)^{2} + X_{L}^{2} \Rightarrow X_{L} = \sqrt{3} Ω

Was this answer helpful ?

Next Question

Question 1. The instantaneous values of current and emf in an ac circuit are I=1√2sin 314tamp and E= √2 sin(....E= √2 sin(314t−Π6)V respectively. The phase difference between E and I will be

Question 2. The r.m.s. current in an ac circuit is 2 A. If the watt less current be √3 A , what is the power factor....

Question 3. 25πμ F capacitor and 3000-ohm resistance are joined in series to an ac source of 200 volt and 50 s....the circuit and the power dissipated in it will respectively

Question 4. The vector diagram of current and voltage for a circuit is as shown. The components of the circuit will be ....

Question 5. What is the r.m.s. value of An alternating current which when passed through a resistor produces heat which is thrice of....a direct current of 2 amperes in the same resistor

Question 6. What will be the self inductance of a coil, to be connected in a series with a resistance of π√3:....emf and the current at 50 Hz frequency is 30∘

Question 7. If A and B are identical bulbs which bulbs glows brighter(omega=100rad/s)....

Question 8. The self inductance of a choke coil is 10 mH. When it is connected with a 10V dc source, then the loss of power is 20 wa....is 10 watt. The frequency of ac source will be

Question 9. In an LCR circuit ohm. When capacitance C is removed, the current lags behind the voltage by π3 . When inductance ....the voltage by π. The impedance of the circuit is

Question 10. A telephone wire of length 200 km has a capacitance of 0.014μF per km. If it carries an ac of frequency 2.5 kHz, w....series so that the impedance of the circuit is minimum

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

ICA Combined 1 Free Revision Test SAIL JO E-0

RDIC Review Test SAIL JO E-0

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

RSP Combined 1 Free Revision Test SAIL JO E-0