Show me $$the steps to $$solve A capacitor can be $$used to $$tune a radio. In $$the circuit of $$a radio tuner, the tuning frequency f$$is $$related to $$the resistance R $$and the capacitance C$$of $$the circuit by $$the following equation: f$=12$piRC where f$$is $$expressed in$$Hz $$when R$$is$$in $$ohms and C$$in $$farads $($F$).$A tuning circuit is $$fabricated using a resistance of$70$and a parallel$-$plate capacitor of $$length l$=10$cm$,$width a$=5$cm $$and distance between the plates d$=5$mm$.$The capacitor is $$filled with a dielectric of $$relative permittivity $=3$that can be $$displaced horizontally by $$moving the dial wheel. How much would we $$have to $$displace the dielectric to $$tune to$93\mathrm{.}2$MHz$?$

A capacitor can be $$used to $$tune a radio. In $$the circuit of $$a radio tuner, the tuning frequency

f$$is $$related to $$the resistance R $$and the capacitance C$$of $$the circuit by $$the following equation:

f$=12$RC $$where f$$is $$expressed in$$Hz $$when R$$CF$70$and a parallel$-$plate capacitor of $$length I$=10$

cm$,$width a$=5$cm $$and distance between the plates d$=5$mm$.$The capacitor is $$filled with a

dielectric of $$relative permittivity r$=3$that can be $$displaced horizontally by $$moving the dial

wheel. How much would we $$have to $$displace the dielectric to $$tune to$93\mathrm{.}2$MHz$?$