A 20 − Ω resistor, 50 − μ F capacitor, and 30-mH inductor are connected in series with an ac source of amplitude 10 V and frequency 125 Hz. (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase constant of the current? Is it leading or lagging the source voltage? (d) Write voltage drops across the resistor, capacitor, and inductor and the source voltage as a function of time, (e) What is the power factor of the circuit? (f) How much energy is used by the resistor in 2.5 s?
A 20 − Ω resistor, 50 − μ F capacitor, and 30-mH inductor are connected in series with an ac source of amplitude 10 V and frequency 125 Hz. (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase constant of the current? Is it leading or lagging the source voltage? (d) Write voltage drops across the resistor, capacitor, and inductor and the source voltage as a function of time, (e) What is the power factor of the circuit? (f) How much energy is used by the resistor in 2.5 s?
inductor are connected in series with an ac source of amplitude 10 V and frequency 125 Hz. (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase constant of the current? Is it leading or lagging the source voltage? (d) Write voltage drops across the resistor, capacitor, and inductor and the source voltage as a function of time, (e) What is the power factor of the circuit? (f) How much energy is used by the resistor in 2.5 s?
Certain types of particle detectors can be used to reconstruct the tracks left by unstable, fast-moving sub-atomic particles. Assume
that a track with a length of L=2.97 mm in the laboratory frame of reference has been observed. Further assume that you
determined from other detector data that the particle moved at a speed of L=0.910 ⚫ c, also in the laboratory frame of reference. c
denotes the speed of light in vacuum. What proper lifetime would you determine for this particle from the data given?
T= 4.0
S
generated worksheet
While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't
want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of
the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense.
How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note
that the speed u is taken to be a positive quantity.
U 4.0
C
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