Consider the circuit (shown below) consisting of an AC voltage source: V(t)=Vosin(wt) connected in series to a capacitor C and a coil, which has resistance R and inductance Lo. (a) Write a differential equation for the current in this circuit. (b) What angular frequency wes Would produce a maximum current? (c) What is the voltage across the capacitor when the circuit is driven at this frequency? (d) Information is given that when a dielectric material is inserted into a capacitor the electric field inside changes. When a dielectric is inserted into the capacitor, its capacitance changes by a factor of 4 to C= Co. What is the new resonance frequency? (e) Now drive the new circuit with the original wres. What is the phase angle between the current and the voltage? -VR V Vc ell R C V(t)=Vosin(wt)
Consider the circuit (shown below) consisting of an AC voltage source: V(t)=Vosin(wt) connected in series to a capacitor C and a coil, which has resistance R and inductance Lo. (a) Write a differential equation for the current in this circuit. (b) What angular frequency wes Would produce a maximum current? (c) What is the voltage across the capacitor when the circuit is driven at this frequency? (d) Information is given that when a dielectric material is inserted into a capacitor the electric field inside changes. When a dielectric is inserted into the capacitor, its capacitance changes by a factor of 4 to C= Co. What is the new resonance frequency? (e) Now drive the new circuit with the original wres. What is the phase angle between the current and the voltage? -VR V Vc ell R C V(t)=Vosin(wt)
Related questions
Question
Transcribed Image Text:Consider the circuit (shown below) consisting of an AC voltage source:
V(t)=Vosin(wt) connected in series to a capacitor C and a coil, which has
resistance R and inductance Lo.
(a) Write a differential equation for the current in this circuit.
(b) What angular frequency wres Would produce a maximum
current?
(c) What is the voltage across the capacitor when the circuit is
driven at this frequency?
(d) Information is given that when a dielectric material is inserted
into a capacitor the electric field inside changes. When a
dielectric is inserted into the capacitor, its capacitance changes
by a factor of 4 to C= Co. What is the new resonance frequency?
(e) Now drive the new circuit with the original wres. What is the
phase angle between the current and the voltage?
-V V Vc -
R
C
V(t)=Vosin(wt)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
