Question

The resonance frequency f in an electronic circuit containing inductance L and capacitance C in series is given by f=1/2π√LC. Determine the inductance L in an electric circuit if the resonance frequency is 6.2 and the capacitance is 0.0001. Round your answer to the nearest tenth.

10270.1
6.6
256.8
0

Answer 1

In this situation, you have to use the equation
f = 1 / (2π√LC)


To find L
√LC = 1 / (2πf)
LC = (1 / (2πf)) ^ 2
L = (1 / C) * (1 / (2πf)) ^ 2

Substitute the values:
L = (1 / 0.0001) * (1 / (2 * 3.14 * 6.2)) ^ 2
L = 6.596253438
L = 6.6
So the Answer is this:
L = 6.6

Answer 2

For this case we have the following function:
f = 1 / (2π√LC)
Clearing L we have:
√LC = 1 / (2πf)
LC = (1 / (2πf)) ^ 2
L = (1 / C) * (1 / (2πf)) ^ 2
Substituting values:
L = (1 / 0.0001) * (1 / (2 * 3.14 * 6.2)) ^ 2
L = 6.596253438
Round to the nearest tenth:
L = 6.6
Answer:
L = 6.6