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# C4 - Phy sics 7B WS C4(rev 2.0 Page 1 C-4 AC Circuits...

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Physics 7B WS C4 (rev. 2.0) Page 1 C-4. AC Circuits - Impedance V ( t ) = ZI 0 sin " t # \$ ( ) I ( t ) = V 0 Z sin t + # ( ) Questions for discussion 1 . An AC source of frequency ω is placed across a resistor with resistance R. Use the loop rule to find the impedance, Z R , and phase angle, ϕ R of a resistor. 2. An AC source of frequency ω is placed across a capacitor with capacitance C. Use the loop rule to write a differential equation for the charge on the capacitor and solve it. Use your solution to find the impedance, Z C , and phase angle, C of a capacitor. (Hint: cos( ) = sin( + 2 ) ) 3. Qualitatively,why does the impedance of a capacitor increase when the driving frequency of the source is decreased? 4. An AC source of frequency ω is placed across an inductor with inductance L. Use the loop rule to write a differential equation for the current through the inductor and solve it. Use your solution to find the impedance, Z L , and phase angle, L of an inductor. (Hint: " cos( ) = sin( " 2 ) ) 5. Qualitatively,why does the impedance of an inductor increase when the driving frequency of the source is increased? 6.

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C4 - Phy sics 7B WS C4(rev 2.0 Page 1 C-4 AC Circuits...

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