मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

A series LCR circuit has resistance 10Ω and reactance is 72 Ω. What is the impedance of the circuit? - Physics

Advertisements
Advertisements

प्रश्न

A series LCR circuit has resistance 10Ω and reactance is `7sqrt2` Ω. What is the impedance of the circuit?

बेरीज
Advertisements

उत्तर

Given:

R = 10 Ω, |XL - XC| = `7sqrt2` Ω 

To find: Impedance (Z)

Formula: X = `sqrt("R"^2 + ("X"_"L" - "X"_"C")^2)` 

Calculation:

From formula,

Z = `sqrt(10^2 + (7sqrt2)^2)`

= `sqrt(100 + 98)`

= 14.07 Ω

The impedance of the circuit is 14.07 Ω. 

shaalaa.com
AC Circuits
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: AC Circuits - Short Answer I

संबंधित प्रश्‍न

Choose the correct option.

If the rms current in a 50 Hz AC circuit is 5A, the value of the current 1/300 seconds after its value becomes zero is ______.


In an AC circuit, e and i are given by e = 150 sin(150t)V and i = 150 sin `(150t + π/3)` A. The power dissipated in the circuit is ______.


An electric lamp is connected in series with a capacitor and an AC source is glowing with a certain brightness. How does the brightness of the lamp change on increasing the capacitance?


An electric current in an LC – circuit at resonance is called - ______ 


An electric bulb operates 10 V d.c. If this bulb is connected to an a.c. source and gives normal brightness, then the peak value of the source is ______ 


A coil of resistance 300Ω and inductance 1.0 H is connected across an alternating voltage of frequency `300/(2pi)` Hz, therefore phase difference between the voltage and current in the circuit is ______ 


State the equation for impedance Z in an A.C. circuit.


If the peak value of an alternating emf is 15V, what is its mean value over half cycle?


A 0.5µF capacitor is discharged through a 10 millihenry inductor. Find the frequency of discharge. 


What is the capacitive reactance of a capacitor of 5µF at a frequency of (1) 50 Hz and (2) 20KHZ? 


What is the inductive reactance of a coil of inductance 10mH at a frequency

  1.  50 Hz
  2. 1000 Hz
  3. 20 kHz?

Explain the term inductive reactance. State its unit and dimensions.


Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to an LR circuit.


Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to a CR circuit.


The standard voltage of A.C. mains in India is ______


For circuit shown in figure IE = 4 mA, IB = 40 µA. What are the values of ex, and le respectively?

   


In amplitude modulation. the amplitude of carrier wave is Ac and that of the modulating signal is Am· In practice, the ratio of Am to Ac is kept less than or equal to one, to avoid ______.


An RC Circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to:


A telegraph line of length 100 km has a capacity of 0.01 µF/ km and it carries an alternating current at 0.5 kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in series is ______ mH. (if π = `sqrt10`)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×