An ac generator produces emf 8 = Em sin(w₁ t - π/4), where 8m = 31.0 V and wd = 360 rad/s. The current in the circuit attached to the generator is given by i(t) I sin(wat + π/4), where I = 634 mA. (a) At what time after t = 0 does the generator emf first reach a maximum? (b) At what time after t = 0 does the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor, an inductor, or a resistor? (d) What is the value of the capacitance, inductance, or resistance, as the case may be? =

An ac generator produces emf 8 = Em sin(w₁ t - π/4), where 8m = 31.0 V and wd = 360 rad/s. The current in the circuit attached to the generator is given by i(t) I sin(wat + π/4), where I = 634 mA. (a) At what time after t = 0 does the generator emf first reach a maximum? (b) At what time after t = 0 does the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor, an inductor, or a resistor? (d) What is the value of the capacitance, inductance, or resistance, as the case may be? =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**AC Generator and Circuit Analysis**

An AC generator produces an electromotive force (emf) expressed by the equation \( \mathcal{E} = \mathcal{E}_m \sin(\omega_d t - \pi/4) \), where \( \mathcal{E}_m = 31.0 \, \text{V} \) and \( \omega_d = 360 \, \text{rad/s} \). The current in the circuit attached to the generator is given by the equation \( i(t) = I \sin(\omega_d t + \pi/4) \), with \( I = 634 \, \text{mA} \).

**Questions:**

**(a)** At what time after \( t = 0 \) does the generator emf first reach a maximum?

- **Answer Box:** .006544 ms

**(b)** At what time after \( t = 0 \) does the current first reach a maximum?

- **Answer Box:** [Empty, units: ms]

**(c)** The circuit contains a single element other than the generator. Is it a capacitor, an inductor, or a resistor?

- **Answer:** Capacitor

**(d)** What is the value of the capacitance, inductance, or resistance, as the case may be?

- **Answer Box:** [Empty, units: µF]

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