All of the questions in this problem are based on the circuit below. R=10Ω,L=5mH, C=500μF. The source voltage is 10cos(200t+45LaTeX: ^{^\circ} ∘ ). Round all of your answers to two decimal places if necessary. Omit the units. What is the inductor impedance value in ohms? First, what is the REAL part.

1) 0 Ω

2) jΩ

3) 0 Ω

4) -10j Ω

5)  10Ω

6) -9j Ω

Explanation:

Given that R=10Ω,L=5mH,C=500μF and The source voltage is 10cos(200t+45°)

The source voltage is given by

Therefore comparing with the source voltage, the angular frequency w = 200 rad/s

a) The impedance of the inductor is given by:

The real part is 0 Ω and

the imaginary part is j Ω

b) The impedance of the capacitor is given by:

The real part is 0 Ω and

the imaginary part is -10j Ω

c) The total impedance of the circuit is given by:

The real part is 10Ω

The Imaginary part is -9j Ω

the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only