(a) In an RLC circuit, can the amplitude of the voltage across an indu

kuhse4461a 2021-12-18 Answered
(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? (b) Consider an RLC circuit with emf amplitude
ξm=10V
, resistance R=10Ω, inductance L=1.0H, and capacitance
C=1.0μF. Find the amplitude of the voltage across the inductor at resonance.
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Expert Answer

habbocowji
Answered 2021-12-19 Author has 22 answers
Step 1
Part a)
Maximum current is:
I=emfZ
Maximum voltage across the inductor is:
VL=I XL=(emfZ)(XL)=emf(XLZ)
Therefore if XL be greater than Z, then the voltage across the inductor will be greater than the emf.
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Melinda McCombs
Answered 2021-12-20 Author has 38 answers
Step 2
Part b)
ω=1LC=1(1.0)(1e6)=1000rads
XL=ωL=10001.0=1000ohms
At resonance: Z=R=10ohms; therefore:
VL=emf(XLZ)=10100010=1000V=1.0kV
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