What is the impedance of a network composed...

Question 1 / 20fr4rF2jrN1MGVD2a3lxG

Question 1 of 20fr4rF2jrN1MGVD2a3lxG

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.

Back

Question 1 of 20

fr4rF2jrN1MGVD2a3lxG

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.

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

• 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

💭 Think About

• 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?

✅ Before You Answer

• 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.

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed

Question 1 of 20

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.

20 -j19

19 +j20

20 +j19

19 -j20

Loading interactive features...