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Part F Now consider a capacitor with capacitance C connected to an AC source (diagram 3). If the AC source provides a voltage Vc (t) = Vo cos(wt), what is the current Ic (t) through the capacitor as a function of time? Express your answer in terms of Vo, C, w and t. Use the cosine function with a phase shift, not the sine function, in your answer. ▸ View Available Hint(s) Ic (t) = Submit 1971 ΑΣΦ BO ?

Part F Now consider a capacitor with capacitance C connected to an AC source (diagram 3). If the AC source provides a voltage Vc (t) = Vo cos(wt), what is the current Ic (t) through the capacitor as a function of time? Express your answer in terms of Vo, C, w and t. Use the cosine function with a phase shift, not the sine function, in your answer. ▸ View Available Hint(s) Ic (t) = Submit 1971 ΑΣΦ BO ?

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voltage is given as a function of time by = V(t) = Vo cos(wt). The main challenge is to apply your knowledge of the basic properties of resistors, inductors, and capacitors to these "single-element" AC circuits to find the current I (t) through each. The key is to understand the phase difference, also known as the phase angle, between the voltage and the current. It is important to take into account the sign of the current, which will be called positive when it flows clockwise from the b terminal (which has positive voltage relative to the a terminal) to the a terminal (see figure). The sign is critical in the analysis of circuits containing combinations of resistors, capacitors, and inductors. (Figure 1) Figure + (1) -1 (t) (2) I(t)- L 0000 1 of 1 (3) 1(t)- 6 a Part F Now consider a capacitor with capacitance C connected to an AC source (diagram 3). If the AC source provides a voltage Vc (t) = Vo cos(wt), what is the current Ic (t) through the capacitor as a function of time? Express your answer in terms of Vo, C, w and t. Use the cosine function with a phase shift, not the sine function, in your answer. ► View Available Hint(s) Ic (t) = Submit Part G — ΑΣΦ Review Consider the capacitor in diagram 3. Which of the following statements is true at the moment the alternating voltage across the capacitor is zero? ► View Available Hint(s) The current must be directed clockwise Show All 1 X
Transcribed Image Text:voltage is given as a function of time by = V(t) = Vo cos(wt). The main challenge is to apply your knowledge of the basic properties of resistors, inductors, and capacitors to these "single-element" AC circuits to find the current I (t) through each. The key is to understand the phase difference, also known as the phase angle, between the voltage and the current. It is important to take into account the sign of the current, which will be called positive when it flows clockwise from the b terminal (which has positive voltage relative to the a terminal) to the a terminal (see figure). The sign is critical in the analysis of circuits containing combinations of resistors, capacitors, and inductors. (Figure 1) Figure + (1) -1 (t) (2) I(t)- L 0000 1 of 1 (3) 1(t)- 6 a Part F Now consider a capacitor with capacitance C connected to an AC source (diagram 3). If the AC source provides a voltage Vc (t) = Vo cos(wt), what is the current Ic (t) through the capacitor as a function of time? Express your answer in terms of Vo, C, w and t. Use the cosine function with a phase shift, not the sine function, in your answer. ► View Available Hint(s) Ic (t) = Submit Part G — ΑΣΦ Review Consider the capacitor in diagram 3. Which of the following statements is true at the moment the alternating voltage across the capacitor is zero? ► View Available Hint(s) The current must be directed clockwise Show All 1 X
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