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An inductance L having a resistance R is connected to an alternating source of angular frequency ω. The quality factor (Q) of the inductance is L/R
  • a)
    (ωL/R)2
  • b)
    (R/ωL)1∕2
  • c)
    ωL/R
  • d)
    R/ωL
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An inductance L having a resistance R is connected to an alternating s...
Ω. The current flowing through the inductance can be represented as:

I = Im sin(ωt + φ)

where Im is the maximum current amplitude and φ is the phase angle.

The voltage across the inductance can be represented as:

V = Vm sin(ωt)

where Vm is the maximum voltage amplitude.

By applying Ohm's law, we can determine the relationship between the voltage and current:

V = IR

Substituting the expressions for V and I:

Vm sin(ωt) = (Im sin(ωt + φ))R

Simplifying the equation:

Vm sin(ωt) = ImR sin(ωt + φ)

Using the trigonometric identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B), we can rewrite the equation as:

Vm sin(ωt) = ImR(sin(ωt)cos(φ) + cos(ωt)sin(φ))

Comparing the coefficients of sin(ωt) and cos(ωt), we get:

Vm = ImRcos(φ)

This equation relates the maximum voltage amplitude (Vm) to the maximum current amplitude (Im), resistance (R), and the phase angle (φ).
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Community Answer
An inductance L having a resistance R is connected to an alternating s...
Option c
qfacter=Xl/r
= wl /r
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An inductance L having a resistance R is connected to an alternating source of angular frequency ω. The quality factor (Q) of the inductance is L/Ra)(ωL/R)2b)(R/ωL)12c)ωL/Rd)R/ωLCorrect answer is option 'C'. Can you explain this answer?
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