Saved Bookmarks
| 1. |
In a radio receiver, the short-wave and medium-wave station are tuned by using the same capacitor but coil os different inductance. In which case the value of inductance is more? Explain. |
|
Answer» Solution :The value of INDUCTANCE is more while tuning a radio receiver at midium wave station than that at short wave station. We know that the short wave station EMIT radiowaves of short WAVELENGTH `(lambda_(s))` and medium wave station emit rediowaves of longer wavelength `(lambda_(m))`, i.e., `lambda_(m)gtlambda_(s)`. Let `v_(s),v_(m)` be the FREQUENCIES of short wave and medium wave signals. Then `v_(s)=c//lambda_(s)` and `v_(m)=c//lambda_(m)` or `v_(s)/v_(m)=lambda_(m)/lambda_(s)`.....(i) If `L_(s),L_(m)`be the self inductance of the short wave and the medium wave coils respectively and C be the capacitance of capacitor used, then `v_(s)=(1)/(2pisqrt(L_(s)C))` and `v_(m)=(1)/(2pisqrt(L_(m)C))` `:. v_(s)/v_(m)=sqrt(L_(m)/L_(s))` or `v_(s)^(2)/v_(m)^(2)=L_(m)/L_(s)`...(ii) From (i) and (ii), `L_(m)/L_(s)=(lambda_(m^(2)))/(lambda_(s^(2)))gt 1 (As lambda_(m)gtlambda_(s)) :. L_(m) gt L_(s)` |
|