Multiconcept Exercise 21.48 A series RLC radio receiver circuit with an inductan

Question

Multiconcept Exercise 21.48 A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Multiconcept Exercise 21.48 A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. Multiconcept Exercise 21.48 A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct XL = 3140   ?   XL = 3140   ?   3140 SubmitMy AnswersGive Up Correct Correct Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining XC =   ?   XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Incorrect; Try Again; 3 attempts remaining Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance? Part C What is its capacitance? Multiconcept Exercise 21.48 A series RLC radio receiver circuit with an inductance of 5.30?H is tuned to an FM station at 94.3MHz by adjusting a variable capacitor. Part A When the circuit is tuned to this station, what is its inductive reactance? XL = 3140   ?   SubmitMy AnswersGive Up Correct Part B What is its capacitive reactance? XC =   ?   SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part C What is its capacitance?

Explanation / Answer

a) w = 2pif = (2*pi*94.3*10^6)

=R = wL = (2*pi*94.3*10^6)*5.3*10^-6

= 3140.27 ohm

2.

w = 2pif = 1/sqrt(Lc)

(5*3*10^-6*C) = 1/(2*pi*94.3*10^6)^2

c =1/(2*pi*94.3*10^6)^2/5*3*10^-6

=1.899*10^-13

R = 1/wc

=1/(1.899*10^-13*2*pi*94.3*10^6)

= 8887.57 ohm

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