Question

A 130 ohm resistance and a capacitor of 40 microfarads are connected to an ac source with angular frequency 'w'(omega). What is the the minimum value of 'w' for which the circuit is a pure resistive load?

Answer 1

Given :  a 130 ohm resistor and 40uf capacitor are connected in series to an AC source of angular frequency ω

To Find :  the value of ω for which the combination acts as a pure resistive load is

​Solution:

pure resistive load  if  XL =  Xc

⇒ 2πfL =  1/2πfC

Here only capacitor is given  so need to have infinite frequency which is not possible

We need inductor also in the circuit

Then 2πfL =  1/2πfC

ω = 2πf

⇒ ωL = 1/ωC

⇒ ω² = 1/LC

⇒ ω = 1/√LC

To Find the value of ω for which the combination acts as a pure resistive load   , we need inductor also in circuit.

Then ω = 1/√LC  can be calculated

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Answer 2

Explanation:

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