The charge q on a capacitor in a simple a-c circuit varies with time according to the equation q = 3 sin(120πt + π/4). Find the amplitude, period, and frequency of this oscillation. By definition, the current flowing in the circuit at time t is I = dq/dt. Show that I is also a sinusoidal function of t, and find its amplitude, period, and frequency.

The charge q on a capacitor in a simple a-c circuit varies with time according to the equation q = 3 sin(120πt + π/4). Find the amplitude, period, and frequency of this oscillation. By definition, the current flowing in the circuit at time t is I = dq/dt. Show that I is also a sinusoidal function of t, and find its amplitude, period, and frequency.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.14P

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