Answer the following with illustration and solution. 1.) A circuit consisting of a resistor of 5kohms in series with a capacitor of 10 nanofarad is connected across a 16v sinusoidal supply. Calculate the output voltage at a frequency of 60Hz and again at frequency of 120Hz.

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Answer the following with illustration and solution.

1.) A circuit consisting of a resistor of 5kohms in series with a capacitor of 10 nanofarad is connected across a 16v sinusoidal supply. Calculate the output voltage at a frequency of 60Hz and again at frequency of 120Hz.

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A circuit consisting of a resistor of
4.7k in series with a capacitor of
47nF is connected across a 10v
sinusoidal supply. Calculate the
output voltage at a frequency of
100Hz and again at frequency of
10kHz.
Step 1: Voltage Output at 100Hz.
Xc=27fc
1
Xc =
2π(100Hz) (47nF)
Xc= 33.863k
Z=√√R² + X²
Z=√4700² +33,863²
Z 34187.61
Vout= Vin
Vout= 10v
733.863ΚΩ
\34.187kΩ/
Vout = 9.91v
Step 2: Voltage Output at 10kHz.
Xc = 2nfc
1
Xc =
2π(10kHz) (47nF)
Xc = 338.630
Z = √√R² + X²
Z = √4700² +338.63²
Z
4712.180
Vout= Vin
338.630
Vout 10v|
4712.180/
Vout = 0.719v
Transcribed Image Text:A circuit consisting of a resistor of 4.7k in series with a capacitor of 47nF is connected across a 10v sinusoidal supply. Calculate the output voltage at a frequency of 100Hz and again at frequency of 10kHz. Step 1: Voltage Output at 100Hz. Xc=27fc 1 Xc = 2π(100Hz) (47nF) Xc= 33.863k Z=√√R² + X² Z=√4700² +33,863² Z 34187.61 Vout= Vin Vout= 10v 733.863ΚΩ \34.187kΩ/ Vout = 9.91v Step 2: Voltage Output at 10kHz. Xc = 2nfc 1 Xc = 2π(10kHz) (47nF) Xc = 338.630 Z = √√R² + X² Z = √4700² +338.63² Z 4712.180 Vout= Vin 338.630 Vout 10v| 4712.180/ Vout = 0.719v
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