The value of the inductance (L) for this oscillating circuit is equal to
1.2975×10⁻³Henry.
An inductor is a passive electronic part with the ability to store electrical energy as magnetic energy. In essence, a conductor that has been wound into a coil is used, and when electricity is applied to the coil clockwise from left to right, a magnetic field is produced.
Given,
Oscillator frequency = 14Hz
Peak current = 62mA
Rms Voltage = 5.0 V
To determine the value of the inductance (L):
First, we would use the following formula to determine the root mean square current (rms current):
Irms= I₀/√2
Irms = 62×10⁻³/1.414
Irms = 0.0438 A.
Next, we would use the following formula to determine the oscillator's inductive reactance:
[tex]X_{L}[/tex] = Vrms/Irms
[tex]X_{L}[/tex] = 5/0.0438
[tex]X_{L}[/tex] = 114.15ohms.
We can now solve for the inductance's value (L) as follows:
L = [tex]X_{L}[/tex]/2πf
L = 114.15/2×3.142×14×10³
L = 114.15/87976
L = 1.2975×10⁻³Henry.
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