Question 1: Forced and damped oscillation: Consider a series RLC circuit in the shape of a...

Transcribed Image Text:

Question 1: Forced and damped oscillation: Consider a series RLC circuit in the shape of a rectangular loop only partly in a B-field which is oscillating with frequency o. The loop extends a distance x into the B-field and is held fixed in position. Take B=B sin ot with B>0. a) Write the line integral of the electric field along the direction of the current shown in the figure. And then obtain the differential the resonance frequency : = L == R m 8 X Bosin(ot) 11 equation obeyed by the current I. (Hint: .d due to the current in the circuit, and ii) the external magnetic field). b) Solve the equation you found in part-a for the steady state current if the external magnetic field is driven at (LC)- d . Note that the fluxo is due to i) the magnetic field dt Question 1: Forced and damped oscillation: Consider a series RLC circuit in the shape of a rectangular loop only partly in a B-field which is oscillating with frequency o. The loop extends a distance x into the B-field and is held fixed in position. Take B=B sin ot with B>0. a) Write the line integral of the electric field along the direction of the current shown in the figure. And then obtain the differential the resonance frequency : = L == R m 8 X Bosin(ot) 11 equation obeyed by the current I. (Hint: .d due to the current in the circuit, and ii) the external magnetic field). b) Solve the equation you found in part-a for the steady state current if the external magnetic field is driven at (LC)- d . Note that the fluxo is due to i) the magnetic field dt

Answer rating: 100% (QA)

The given problem involves an RLC circuit in the presence of a timevarying magnetic field B B0 sint that induces an electromotive force EMF and thus affects the current in the circuit This is an appli... View the full answer