AExE01 · Chapter 1Basic Electrical & Electronics🏛️ Past Licensure QuestionID: 2cff3c69

For a Wien-bridge oscillator producing approximately 16.042 kHz with R = 1 kΩ, what capacitor value is required?

Multiple Choice Options

A
10 µF
B
1 µF
C
10 nF
✓ Correct Option
D
1 nF

Detailed Technical Solution & Explanation

The frequency of oscillation for a symmetrical Wien-Bridge oscillator is given by the formula $f_0 = \frac{1}{2\pi R C}$ .

Rearranging for capacitance: $C = \frac{1}{2\pi R f_0} = \frac{1}{2\pi \times 1000\,\Omega \times 16042\text{ Hz}} = \frac{1}{1.008 \times 10^8} \approx 9.92 \times 10^{-9}\text{ F} = 10\text{ nF}$ .

Option Analysis:

•

Option A (10 µF): Incorrect. Yields a frequency of only ~16 Hz.

•

Option B (1 µF): Incorrect. Yields a frequency of only ~160 Hz.

•

Option C (10 nF): Correct. Evaluating

C = \frac{1}{2\pi (1000)(16042)}

gives exactly

9.92\text{ nF} \approx 10\text{ nF}

•

Option D (1 nF): Incorrect. Yields a frequency 10 times higher (~160 kHz).

Reference: Mock Test 01NEC Licensure Syllabus

For a Wien-bridge oscillator producing approximately 16.042 kHz with R = 1 kΩ, what capacitor value is required?

Multiple Choice Options

Detailed Technical Solution & Explanation

Option Analysis:

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For a Wien-bridge oscillator producing approximately 16.042 kHz with R = 1 kΩ, what capacitor value is required?

Multiple Choice Options

Detailed Technical Solution & Explanation

Option Analysis:

Want to practice this topic interactively?