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  • (a) Draw graphs showing the variations of inductive reactance and capacitive reactance with frequency of the applied ac source. (b) Draw the phasor diagram for a series RC circuit connected to an ac source. (c) An alternating voltag

(a) Draw graphs showing the variations of inductive reactance and capacitive reactance with frequency of the applied ac source.

(b) Draw the phasor diagram for a series RC circuit connected to an ac source.

(c) An alternating voltage of 220 V is applied across a device X, a current of 0.25 A flows, which lag behind the applied voltage in phase by \frac{\pi }{2} radian. If the same voltage is applied across another device Y, the same current flows but now it is in phase with the applied voltage.

(i) Name the devices X and Y.

(ii) Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y.

 

 
 
 
 

Answers (1)

(a) Inductive reactance

            X_{L}=2\pi fc

         

capacitor reactance

            X_{C}=\frac{1}{2\pi fc}

           

(b) In an RC circuit current lead voltage by an angle (say \theta)

           

(c) (i) X is inductance and y is resistance

     (ii) X_{L}=\frac{220}{0.25}=880\Omega

                R=880\Omega

I=\frac{V}{Z}=\frac{220}{\sqrt{R^{2}+X_{L}^{2}}}=\frac{220}{880\sqrt{2}}=0.177\; A

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Safeer PP

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