What is the impedance of a network composed of a 0.1-microhenry inductor in series with a 20-ohm resistor, at 30 MHz? Specify your answer in rectangular coordinates.
• Impedive of an inductor: X_L = 2π f L and that this is an imaginary (j) quantity • Series circuits: resistances and reactances in series add directly as complex numbers • Rectangular form of impedance: Z = R + jX
• First compute the inductive reactance at 30 MHz for a 0.1 µH inductor. What numerical value do you get? • Once you know the reactance, how do you write the total series impedance combining a real part (resistor) and an imaginary part (inductor)? • Is the reactance of an inductor positive j or negative j in the impedance expression?
• Convert 0.1 microhenry to henries correctly before using it in the formula. • Convert 30 MHz to hertz correctly before calculating reactance. • Check the sign and placement of the real part (R) and imaginary part (jX) in the rectangular form: Z = R ± jX.
No comments yet
Be the first to share your thoughts!