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Y Part C Again consider an inductor with inductance L. connected to an AC source. If the AC source provides a voltage V (1) V cos(ut), what is the current Ig (1) through the inductor as a function of time? Express your answer in terms of Vo. L, w, and t. Use the cosine function, not the sine function, in your answer. View Available Hint(s) IL (t) = Submit Part D Submit Consider the potentials of points a and b on the inductor in diagram 2. If the potential at point b is greater than that at point a, which of the following statements is tru ▸ View Available Hint(s) O The current I (t) must be positive (clockwise) O The current I (t) must be directed counterclockwise dl(t) O The derivative of the current dt di(t) O The derivative of the current must be positive. Part E ΨΕΙ ΑΣΦ Part E O ? Submit must be negative. Assume that at time f. the current in the inductor is at a maximum at that time, is true? View Available Hint(s) O The voltage across the inductor must be zero and increasing O The voltage across the inductor must be zero and decreasing The voltage across the inductor must be positive and momentarily constant OThe voltage across the inductor must be negative and momentarily constant from point b to point a Att which of the following statements

Y Part C Again consider an inductor with inductance L. connected to an AC source. If the AC source provides a voltage V (1) V cos(ut), what is the current Ig (1) through the inductor as a function of time? Express your answer in terms of Vo. L, w, and t. Use the cosine function, not the sine function, in your answer. View Available Hint(s) IL (t) = Submit Part D Submit Consider the potentials of points a and b on the inductor in diagram 2. If the potential at point b is greater than that at point a, which of the following statements is tru ▸ View Available Hint(s) O The current I (t) must be positive (clockwise) O The current I (t) must be directed counterclockwise dl(t) O The derivative of the current dt di(t) O The derivative of the current must be positive. Part E ΨΕΙ ΑΣΦ Part E O ? Submit must be negative. Assume that at time f. the current in the inductor is at a maximum at that time, is true? View Available Hint(s) O The voltage across the inductor must be zero and increasing O The voltage across the inductor must be zero and decreasing The voltage across the inductor must be positive and momentarily constant OThe voltage across the inductor must be negative and momentarily constant from point b to point a Att which of the following statements

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Part C Again consider an inductor with inductance I. connected to an AC source. If the AC source provides a voltage V₂ (1) - V cos(at), what is the current J () through the inductor as a function of time? Express your answer in terms of Vo. L, w, and t. Use the cosine function, not the sine function, in your answer. View Available Hint(s) IL (t) = Submit Part D Consider the potentials of points a and b on the inductor in diagram 2. If the potential at point b is greater than that at point a, which of the following statements is true? View Available Hint(s) O The current I (t) must be positive (clockwise) O The current I (t) must be directed counterclockwise di(t) dt O The derivative of the current ΨΗ ΑΣΦΑ O The derivative of the current Submit Part E Part E 201 ? Submit di(t) dt must be negative. must be positive. Assume that at time fm. the current in the inductor is at a maximum; at that time, the current flows from point is true? View Available Hint(s) O The voltage across the inductor must be zero and increasing O The voltage across the inductor must be zero and decreasing. The voltage across the inductor must be positive and momentarily constant. The voltage across the inductor must be negative and momentarily constant 4 4 ta At Sime f which of the following statements
Transcribed Image Text:Part C Again consider an inductor with inductance I. connected to an AC source. If the AC source provides a voltage V₂ (1) - V cos(at), what is the current J () through the inductor as a function of time? Express your answer in terms of Vo. L, w, and t. Use the cosine function, not the sine function, in your answer. View Available Hint(s) IL (t) = Submit Part D Consider the potentials of points a and b on the inductor in diagram 2. If the potential at point b is greater than that at point a, which of the following statements is true? View Available Hint(s) O The current I (t) must be positive (clockwise) O The current I (t) must be directed counterclockwise di(t) dt O The derivative of the current ΨΗ ΑΣΦΑ O The derivative of the current Submit Part E Part E 201 ? Submit di(t) dt must be negative. must be positive. Assume that at time fm. the current in the inductor is at a maximum; at that time, the current flows from point is true? View Available Hint(s) O The voltage across the inductor must be zero and increasing O The voltage across the inductor must be zero and decreasing. The voltage across the inductor must be positive and momentarily constant. The voltage across the inductor must be negative and momentarily constant 4 4 ta At Sime f which of the following statements
Learning Goal: To understand the relationship between AC voltage and current in resistors, inductors, and capacitors, especially the phase shift between the voltage and the current. In this problem, we consider the behavior of resistors, inductors, and capacitors driven individually by a sinusoidally alternating voltage source, for which the 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(0) K www (2) 10- Ⓒ 3 2000 (3) 1(t)- O C 6 a 1 of 1
Transcribed Image Text:Learning Goal: To understand the relationship between AC voltage and current in resistors, inductors, and capacitors, especially the phase shift between the voltage and the current. In this problem, we consider the behavior of resistors, inductors, and capacitors driven individually by a sinusoidally alternating voltage source, for which the 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(0) K www (2) 10- Ⓒ 3 2000 (3) 1(t)- O C 6 a 1 of 1
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