# a series rlc circuit consists of a 50ω resistor, a 3.3 mh inductor, and a 480 nf capacitor. it is connected to a 5.0 khz oscillator with a peak voltage of 5.0 v.

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## A series RLC circuit consists of a 50Ω resistor?

A series RLC circuit consists of a 50Ω resistor? - A series RLC circuit consists of a 50Ω resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected

Q&A

## A series RLC circuit consists of a 50Ω resistor?

A series RLC circuit consists of a 50Ω resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V.

What is the instantaneous current i when E = E 0?

What is the instantaneous current i when E =0V and is decreasing?

### 1 Answer

Calculate the impedance:

R = 50 Ω (real component)

Reactance, X = 2πfL – 1/(2πfC)

= 2π(5.0 kHz)(3.3 mH) – 1/[(2π)(5.0 kHz)(480 nF) = 37.4 Ω

(imaginary component, mainly inductive)

Z = 50 + j37.4

|Z| = sqrt(50² + 37.4²) = 62.4 Ω

θ = arctan(37.4/50) = 36.8° lag

Peak Current = 5.0 V / 62.4 Ω = 80 mA

According to “ELI the ICE man”, the current lags the voltage in an inductive circuit.

When E = E0, this corresponds to an angle of 0°. Therefore, the current is at -36.8°

i = 80 mA cos (-36.8°) = + 64 mA (forward)

When E = 0V decreasing, this corresponds to 90°. Current is at 90° – 36.8° = 53.2°

i = 80 mA cos (53.2°) = + 48 mA (forward)

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## A series RLC circuit consists of a 50

Answer to: A series RLC circuit consists of a 50-ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator...

RLC circuit

## A series RLC circuit consists of a 50-ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It...

A series RLC circuit consists of a 50-ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It... Question:

A series RLC circuit consists of a 50-ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V.

A) What is the instantaneous current i when

e = e 0 e=e0 ?

B) What is the instantaneous current i when

e = 0 V e=0V and is decreasing?

## R-L-C Series Circuits

An R-L-C series circuit is an electronic circuit composed of a resistor, an inductor, and a capacitor. The impedance of the inductor and the capacitor differs from that of the resistor in such a way that the frequency of the input voltage is taken in consideration.

Impedance formula for Inductor

Z L = 2 Π f L j ZL=2ΠfLj

Impedance formula for Capacitor

Z C = − 1 2 Π f C j ZC=−12ΠfCj Where:

f = frequency of the source

C = capacitance L = Inductance

j = the symbol for the imaginary number (j was used instead of i in order to avoid confusion with current).

## Answer and Explanation:

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In order to get the voltage or e values, we must first get the impedance of the whole series RLC circuit using the formula below:

{eq}Z = Z_{R} +...

See full answer below.

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### Learn more about this topic:

R-L-C Series Circuits

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Chapter 13 / Lesson 9

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Comprehend RLC circuits and their equations. Learn via an example, its total performance and the performance of its parts.

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## Help with AC Circuits in RLC Series : AskPhysics

Hey guys, I need help with this physics question. "A series RLC circuit consists of a 50 ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It …

2

## Help with AC Circuits in RLC Series

Posted by u/Leotios 6 years ago

## Help with AC Circuits in RLC Series

Hey guys, I need help with this physics question.

"A series RLC circuit consists of a 50 ohm resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 3.0 kHz oscillator with a peak voltage of 5.0 V. What is the instantaneous emf when:

a) i = I b) i = 0 A and is decreasing c) i = -I "

Please also explain all the steps and a bit of the theory behind it. I'm still feel very confused whenever I'm dealing with AC Circuits.

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Log In Sign Up level 1 theflyingspaghetti · 6 yr. ago

what do you mean when i=I?

2 level 2 Leotios OP · 6 yr. ago

When the instantaneous current is equal to the peak current I believe

1 level 1 HydrogenxPi · 6 yr. ago

Have you learned phasor notation?

1 level 2 Leotios OP · 6 yr. ago

I don't think so. I know what a phasor is and the different components of a phasor diagram of that's what you're talking about.

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Guys, does anyone know the answer?