An RLC circuit with a 10uF capacitor is connected to a variable-frequency power

Question

An RLC circuit with a 10uF capacitor is connected to a variable-frequency power supply with an rms output voltage of 7.4V. The rms current in the circuit as a function of driving frequency appears as in figure.

Part Astyle="color: rgb(51, 51, 51); font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px; background-color: rgb(244, 249, 255);">

What are the value of the resistor?style="color: rgb(51, 51, 51); font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px; background-color: rgb(244, 249, 255);">

An RLC circuit with a 10uF capacitor is connected to a variable-frequency power supply with an rms output voltage of 7.4V. The rms current in the circuit as a function of driving frequency appears as in figure. What are the value of the resistor?

Explanation / Answer

the capacitor is C = 10 uF = 10 x 10^-6 F

the output voltage is V = 7.4 V

let the total current in the circuit be I

let the resisance be R

we know that

V = I x R

or R = (V/I)

Also,

V = L x (dI/dt)

or L = (V/(dI/dt))

where L is inductance and (dI/dt) is rate of change of current

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