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An oscillator needs to have a frequency of [tex]f = 147 \, \text{kHz} = 147,000 \, \text{Hz}[/tex].

Find the capacitor value [tex]C_1[/tex] and the potentiometer [tex]R_2[/tex].

Answer :

For an oscillator with a frequency of 147 kHz (147,000 Hz), the capacitor value (C1) is approximately 2.186 x 10⁻¹¹ F. The potentiometer value (R2) cannot be determined without additional information, as it depends on the desired frequency range and circuit design.

A capacitor is an electronic component that stores and releases electrical energy. It consists of two conductive plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, an electric field is created, causing positive charges to accumulate on one plate and negative charges on the other. This separation of charges creates an electric potential difference, or voltage, between the plates.

To find the values of the capacitor (C1) and potentiometer (R2) in an oscillator with a frequency of 147 kHz (147,000 Hz), we can use the formula for the frequency of an oscillator:
f = 1 / (2 * π * √(L * C))
Where:
- f is the frequency in Hz
- π is a mathematical constant (approximately 3.14159)
- L is the inductance in henries (H)
- C is the capacitance in farads (F)
In this case, we know the frequency (f = 147,000 Hz) and we need to find the capacitor value (C1) and potentiometer value (R2).
Step 1: Find the values of L and C:
Since we don't have information about the inductance, we'll assume it is a constant value (L = 1 H).
Step 2: Rearrange the formula to solve for C:
Rearranging the formula, we have:
C = (1 / (4 * π² * f² * L))
Step 3: Substitute the values into the formula:
Using the given values:
C = (1 / (4 * π² * (147,000 Hz)² * 1 H))
Step 4: Calculate the value of C:
Using a calculator or a math software, we can calculate the value of C:
C ≈ 2.186 x 10⁻¹¹ F
Step 5: Find the potentiometer value (R2):
The potentiometer (R2) is used to adjust the frequency of the oscillator. Its value depends on the desired frequency range and the specific circuit design. Without more information, it is not possible to determine the exact value of R2. Typically, potentiometers used in oscillator circuits have variable resistances, allowing the user to adjust the frequency by changing the resistance value.
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