Question

What capacitor in series with a 100ω resistor and a 18. 0 mh inductor will give a resonance frequency of 1000 hz?

Answer 1

Capacitor in series with a 100Ω resistor and a 18.0 mH inductor will give a resonance frequency of 1000 Hz is 1.38F

Resonance Frequency of a combination of Series LCR circuit is the frequency at which resonance is achieved in a circuit.

Resonance Frequency of a combination of Series LCR circuit is given by:

f = 1 / 2π$\sqrt{LC$

where, f is the resonance Resonance Frequency of a combination of  Series LCR circuit

          L is the Inductance of the inductor

          C is the capacitance of the capacitor

Given,

f = 1000Hz

L = 18.0 mH  = 0.018H

R = 100Ω

C = ?

On substituting the values in the above-mentioned formula:

1000 = 1 / 2π$\sqrt{0.018C}$

2π$\sqrt{0.018C}$     = 0.001

On solving, C = 1.38 F

Hence, the capacitance of the given capacitor is 1.38F.

Learn more about Resonant frequency here, brainly.com/question/13040523

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