If the voltage across a capacitor is V = V max sin(2ft), the charge on the capacitor
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If the voltage across a capacitor is V = Vmax sin(2πft), the charge on the capacitor is also proportional to sin(2πft) (see Eq. 22.17). The current through the capacitor in this case is given by I = Imax sin(2πft + π/2); hence, the phase angle is ϕ = π/2 radians relative to the voltage. Suppose we begin instead by assuming the capacitor voltage is proportional to a cosine function V = Vmax cos(2πft). Use a graphical argument to show that the current is now given by a function of the form I = Imax cos(2πft + π/2) so that the phase of the current relative to the voltage is again ϕ = π/2 rad.
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Related Book For
College Physics Reasoning and Relationships
ISBN: 978-0840058195
2nd edition
Authors: Nicholas Giordano
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