What will be the inductance required to produce ultrasonicwaves of 2.5 MHz having a capacitance of 0.035µF?A 1 1.16 x 10-7H 11.6 uH 11.6 H 11.6 mWb
Question
What will be the inductance required to produce ultrasonic waves of 2.5 MHz having a capacitance of 0.035µF?
A
- 1
- 1.16 x 10^-7 H
- 11.6 uH
- 11.6 H
- 11.6 mWb
Solution
The inductance (L) required to produce ultrasonic waves of a certain frequency (f) can be calculated using the formula for the resonant frequency of an LC circuit, which is given by:
f = 1 / (2π√(LC))
Where: f is the frequency, L is the inductance, and C is the capacitance.
We can rearrange this formula to solve for L:
L = 1 / (4π²f²C)
Given that f = 2.5 MHz = 2.5 x 10^6 Hz and C = 0.035 µF = 0.035 x 10^-6 F, we can substitute these values into the formula:
L = 1 / (4π²(2.5 x 10^6 Hz)²(0.035 x 10^-6 F))
Solving this equation gives:
L ≈ 1.14 x 10^-7 H
So, the required inductance is approximately 1.14 x 10^-7 H, or 0.114 µH.
Similar Questions
What is the capacitance of the capacitor required if an LC oscillator that uses an inductance of L = 15mH to produce a sine wave of frequency 100kHz ?
An LC circuit oscillates at a frequency of 2.50×103 Hz. What will the frequency be if the inductance is halved? 1.77×103 Hz 5.00×103 Hz 1.25×103 Hz 3.54×103 Hz
describe the construction and work for producing ultrasonic waves using the piezoelectric oscillator method
What is the frequency of an electromagnetic radiation which makes 2 x 106 waves per 50 cm
What is the range of human hearing in Hertz (Hz)?Select an answerA20 to 20,000 HzB1 to 10 HzC50 to 500 HzD10 to 100,000 Hz
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.