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In a series LCR circuit, resonance occurring at 105Hz. At that time, the potential difference across the 100 resistance is 40V while the potential difference across the pure inductor is 30v. The inductance L of the inductor is equal to

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In a series LCR circuit, resonance occurring at 105Hz. At that time, the potential difference across the 100 resistance is 40V while the potential difference across the pure inductor is 30v. The inductance L of the inductor is equal to

Current(i)=VrR=10040=2.5ACurrent(i)=\dfrac{V_r}{R}=\dfrac{100}{40}=2.5A

the inductor value is VL=i(wL)V_L=i*(wL)

L=302.52π105=1.2104HL=\dfrac{30}{2.5*2*\pi*105}=1.2*10^{-4}H

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