A variable capacitor with a range from 10 to 365 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor? If this circuit is to obtain frequencies from 0.54 MHz to 1.60 MHz, the ratio computed in (a) is too large. By adding a capacitor in parallel to the variable capacitor, this range can be adjusted. To obtain the desired frequency range, (b) what capacitance should be added and (c) what inductance should the coil have?
A variable capacitor with a range from 10 to 365 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor? If this circuit is to obtain frequencies from 0.54 MHz to 1.60 MHz, the ratio computed in (a) is too large. By adding a capacitor in parallel to the variable capacitor, this range can be adjusted. To obtain the desired frequency range, (b) what capacitance should be added and (c) what inductance should the coil have?
Chapter14: Inductance
Section: Chapter Questions
Problem 69P: An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a...
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Question
A variable capacitor with a range from 10 to
365 pF is used with a coil to form a variable-frequency LC circuit
to tune the input to a radio. (a) What is the ratio of maximum frequency
to minimum frequency that can be obtained with such a
capacitor? If this circuit is to obtain frequencies from 0.54 MHz
to 1.60 MHz, the ratio computed in (a) is too large. By adding a
capacitor in parallel to the variable capacitor, this range can be
adjusted. To obtain the desired frequency range, (b) what capacitance
should be added and (c) what inductance should the coil
have?
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