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

kuhse4461a

kuhse4461a

Answered question

2021-12-18

(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.

Answer & Explanation

habbocowji

habbocowji

Beginner2021-12-19Added 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.
Melinda McCombs

Melinda McCombs

Beginner2021-12-20Added 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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