An amplitude modulated (AM) radio operates at 550kHz to 1650kHz. If L is fixed and C is varied for tuning then minimum and maximum value of C is
Explanation
Answer : Aswitchinposition2:Imax=150|Lω−1Cω|=3⇒|Lω−1Cω|=50openswitchcondition:ˆZ=R+j(Lω−1Cω)=Z∠−60⇒R2R2+|Lω−1Cω|2=cos2(−60)⇒R2R2+502=(12)2⇒R=50√3A
Let the same reading be xV,then let, Ztotal=R+j(XL−XC)=Z∠θI=VSZ∠−θtherefore,VR=|VSZR∠−θ|VL=|VSZXL∠90−θ|VC=|VSZXC∠−90−θ|given,VR=VL=VV=x⇒R=XL=XC⇒Ztotal=R=Z∠0=Z⇒VR=|VSZR∠−θ|=VSVL=|VSZXL∠90−θ|=|jVS|=VSVC=|VSZXC∠−90−θ|=|−jVS|=VS⇒x=VS=100V
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