The image shows a multiple-choice questionnaire. We need to determine the correct answer for question 5. Question 5 asks: "Which of the following expressions is true with a series resonance circuit?" The options are: a. $X_C > X_L$ b. $X_L > X_C$ c. $X_L = X_C$ d. $R = X_C$ Here, $X_C$ represents capacitive reactance, $X_L$ represents inductive reactance, and $R$ represents resistance.

1. Problem Description

The image shows a multiple-choice questionnaire. We need to determine the correct answer for question

5. Question 5 asks: "Which of the following expressions is true with a series resonance circuit?" The options are:

a. $X_C > X_L$

b. $X_L > X_C$

c. $X_L = X_C$

d. $R = X_C$

Here, $X_C$ represents capacitive reactance, $X_L$ represents inductive reactance, and $R$ represents resistance.

2. Solution Steps

In a series RLC circuit, resonance occurs when the inductive reactance ($X_L$) is equal to the capacitive reactance ($X_C$). This condition leads to minimum impedance and maximum current in the circuit. At resonance, $X_L = X_C$.

$X_L = 2\pi f L$

$X_C = \frac{1}{2\pi f C}$

At resonance,

$X_L = X_C$

$2\pi f L = \frac{1}{2\pi f C}$

3. Final Answer

The correct answer is c. $X_L = X_C$