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

Question

Mathematics

Juan Campbell

13 April, 11:14

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

+4

Answers (2)

Know the Answer?

Elsa Craig · 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

Dillon Cuevas · 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

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.10270.16.6256.80