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A coil has reactance of 100W when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will be
  • a)
    100W
  • b)
    300W
  • c)
    450W
  • d)
    600W
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A coil has reactance of 100W when frequency is 50Hz. If the frequency ...
Given,
Reactance of a coil at 50 Hz, XL=100ohm
If frequency becomes 150 Hz, let the reactance be XL’
As, XL= ωL
          =2πfL
XL=2π(50)L……(1)
              XL’=2π(150)L…….(2)
Dividing 2 by 1
XL’/XL=2π(150)L/2π(50)L
=>XL’/100=150/50
=>XL’=150x100/50
         =300ohm
   XL’=300ohm
Hence reactance of the coil when frequency at 150Hz is 300ohm, option (B).
 
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Most Upvoted Answer
A coil has reactance of 100W when frequency is 50Hz. If the frequency ...
Given information:
- Reactance of a coil when frequency is 50Hz is 100W.
- Frequency is changed to 150Hz.

Explanation:
Reactance is the opposition offered by an inductor or a capacitor to the flow of alternating current (AC). It is denoted by the symbol 'X' and is measured in ohms (Ω).

Reactance of a coil:
The reactance of a coil is given by the formula X = 2πfL, where X is the reactance in ohms, f is the frequency in hertz, and L is the inductance of the coil in henries.

Given reactance and frequency:
Let's substitute the given values into the formula to find the inductance of the coil at a frequency of 50Hz.
X = 100Ω
f = 50Hz

Using the formula X = 2πfL, we can rearrange it to solve for L:
L = X / (2πf)

Substituting the values:
L = 100Ω / (2π * 50Hz)
L ≈ 0.318 H

Reactance at a different frequency:
Now, let's find the reactance of the coil when the frequency is changed to 150Hz.
f = 150Hz

Using the formula X = 2πfL:
X = 2π * 150Hz * 0.318H
X ≈ 300Ω

Therefore, when the frequency changes from 50Hz to 150Hz, the reactance of the coil changes from 100Ω to approximately 300Ω.

Answer:
The reactance of the coil will be 300Ω when the frequency becomes 150Hz. Therefore, the correct answer is option 'B' (300W).
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Read the following text and answer the following questions on the basis of the same: Tuning a radio set: In essence the simplest tuned radio frequency receiver is a simple crystal set. Desired frequency is tuned by a tuned coil / capacitor combination, and then the signal is presented to a simple crystal or diode detector where the amplitude modulated signal, is demodulated. This is then passed straight to the headphones or speaker. In radio set there is an LC oscillator comprising of a variable capacitor (or sometimes a variable coupling coil), with a knob on the front panel to tune the receiver. Capacitor used in old radio sets is gang capacitor. It consists of two sets of parallel circular plates one of which can rotate manually by means of a knob. The rotation causes overlapping areas of plates to change, thus changing its capacitance. Air gap between plates acts as dielectric. The capacitor has to be tuned in tandem corresponding to the frequency of a station so that the LC combination of the radio set resonates at the frequency of the desired station.When capacitive reactance (XC) is equal to the inductive reactance (XL), then the resonance occurs and the resonant frequency is given by ω0 = 1/√LCcurrent amplitude becomes maximum at the resonant frequency. It is important to note that resonance phenomenon is exhibited by a circuit only if both L and C are present in the circuit. Only then do the voltages across L and C cancel each other (both being out of phas e) and the Current amplitude is Vm/R the total source voltage appearing across R. This means that we cannot have resonance in a RL or RC circuit.Resonance frequency is equal to

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A coil has reactance of 100W when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will bea)100Wb)300Wc)450Wd)600WCorrect answer is option 'B'. Can you explain this answer?
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A coil has reactance of 100W when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will bea)100Wb)300Wc)450Wd)600WCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A coil has reactance of 100W when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will bea)100Wb)300Wc)450Wd)600WCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil has reactance of 100W when frequency is 50Hz. If the frequency becomes 150Hz, then the reactance will bea)100Wb)300Wc)450Wd)600WCorrect answer is option 'B'. Can you explain this answer?.
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