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figure 1. Radio waves from a nearby radio station are the external AC source As- sume Vac(t) = Vo cos(Nt+) where R, L, V₁, №, & are arbitrary positive constants. 2 L R eeee Figure 1: RLC circuit for the FM receiver in parallel with an external source. Use the relationship between voltage and current for each circuit's element and the identity I = Q to: (a) Find the current across the resistor as a function of time: IR(t). (b) Find the current across the capacitor as a function of time: Ic(t). (c) Find the current across the inductor as a function of time: IL(t).

figure 1. Radio waves from a nearby radio station are the external AC source As- sume Vac(t) = Vo cos(Nt+) where R, L, V₁, №, & are arbitrary positive constants. 2 L R eeee Figure 1: RLC circuit for the FM receiver in parallel with an external source. Use the relationship between voltage and current for each circuit's element and the identity I = Q to: (a) Find the current across the resistor as a function of time: IR(t). (b) Find the current across the capacitor as a function of time: Ic(t). (c) Find the current across the inductor as a function of time: IL(t).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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figure 1. Radio waves from a nearby radio station are the external AC source 1 As- sume Vac(t) = V₁ cos(Nt+) where R, L, Vo, N, & are arbitrary positive constants. 2 R 0000 0000 Figure 1: RLC circuit for the FM receiver in parallel with an external source. Use the relationship between voltage and current for each circuit's element and the identity I Q to: = (a) Find the current across the resistor as a function of time: IR(t). (b) Find the current across the capacitor as a function of time: Ic(t). (c) Find the current across the inductor as a function of time: IL(t). (d) Let's denote the total current in the circuit by IȚ(t) A cos(Nt+)+B sin(Nt+ 6). Find A, B. Hint: the result shows that Ic(t) is delayed with respect to Ir(t) one quarter of a cycle, while IL(t) is advanced with respect to Ir(t) one quarter of a cycle. This fact motivates the concept of electrical impedance in EE.
Transcribed Image Text:figure 1. Radio waves from a nearby radio station are the external AC source 1 As- sume Vac(t) = V₁ cos(Nt+) where R, L, Vo, N, & are arbitrary positive constants. 2 R 0000 0000 Figure 1: RLC circuit for the FM receiver in parallel with an external source. Use the relationship between voltage and current for each circuit's element and the identity I Q to: = (a) Find the current across the resistor as a function of time: IR(t). (b) Find the current across the capacitor as a function of time: Ic(t). (c) Find the current across the inductor as a function of time: IL(t). (d) Let's denote the total current in the circuit by IȚ(t) A cos(Nt+)+B sin(Nt+ 6). Find A, B. Hint: the result shows that Ic(t) is delayed with respect to Ir(t) one quarter of a cycle, while IL(t) is advanced with respect to Ir(t) one quarter of a cycle. This fact motivates the concept of electrical impedance in EE.
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