Chapter 32: AC Circuits

A series RLC circuit with a $100\Omega$resistor dissipates $80W$when attached to a $120V/60Hz$power line. What is the power factor?

A low-pass RC filter has a crossover frequency f_c=200 Hz.What is f_c if:

a. The resistance R is doubled?

b. The capacitance C is doubled?

c. The peak emf E0 is doubled?

Draw the phasor for the emf $\epsilon =\left(170\right)\cos \left(\right(2\pi \times 60hz\left)t\right)$at$t=60ms$

A low-pass $RC$ filter has a crossover frequency $f_c=200$Hz.What is $f_c$if:

a. The resistance $R$is doubled?

b. The capacitance $C$is doubled?

c. The peak emf $E_0$is doubled?

a. For an RC circuit, find an expression for the angular frequency at which $V_R=\frac{1}{2}{\epsilon }_0$

b. What is V_C at this frequency?

a. For an RC circuit, find an expression for the angular frequency at which $V_C=\frac{1}{2}{\epsilon }_0$.

b. What is V_R at this frequency ?

For an RC filter circuit, show that$V_R=V_C=\frac{{\epsilon }_0}{\sqrt{2}}$at$\omega ={\omega }_c$.

A series $RC$circuit is built with a $12k\Omega$resistor and a parallel-plate capacitor with$15-cm-$diameter electrodes. Alocalid="1649923196754" $12V,36kHz$source drives a peak current of$0.65mA$through the circuit. What is the spacing between the capacitor plates?

Show that Equation$32.27$for the phase angle$\varphi$of a series$RLC$ circuit gives the correct result for a capacitor-only circuit.

a. What is the peak current supplied by the emf in FIGURE$P32.45$?

b. What is the peak voltage across the $3.0mF$capacitor?