In the figure, an ac generator with emf E = Em sin wat, where Em = 24.3 V and wd = 385 rad/s, is connected to a 4.45 µF capacitor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator is - 12.9 V and increasing in magnitude, what is the current?

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Chapter1: Units, Trigonometry. And Vectors
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In the figure, an AC generator with emf \( E = E_m \sin \omega_d t \), where \( E_m = 24.3 \, \text{V} \) and \( \omega_d = 385 \, \text{rad/s} \), is connected to a 4.45 \(\mu\text{F}\) capacitor. 

**(a)** What is the maximum value of the current?  
**(b)** When the current is maximum, what is the emf of the generator?  
**(c)** When the emf of the generator is \(-12.9 \, \text{V}\) and increasing in magnitude, what is the current?

### Diagram Explanation

The diagram shows an AC circuit with a generator and a capacitor:

- **Generator (\( G \))**: Producing the alternating current.
- **Capacitor (\( C \))**: Connected in series with the generator.
- Current (\( i_c \)) and Capacitor Voltage (\( v_c \)) are indicated in the circuit.

### Questions and Fields for Answers:

- **(a)** Maximum Current
  - Input field for the numerical value (Units: A)
- **(b)** Emf when Current is Maximum
  - Input field for the numerical value (Units: V)
- **(c)** Current when Emf is -12.9 V
  - Input field for the numerical value (Units: A) 

Input fields are presented below each question for students to enter their answers, with units specified.
Transcribed Image Text:In the figure, an AC generator with emf \( E = E_m \sin \omega_d t \), where \( E_m = 24.3 \, \text{V} \) and \( \omega_d = 385 \, \text{rad/s} \), is connected to a 4.45 \(\mu\text{F}\) capacitor. **(a)** What is the maximum value of the current? **(b)** When the current is maximum, what is the emf of the generator? **(c)** When the emf of the generator is \(-12.9 \, \text{V}\) and increasing in magnitude, what is the current? ### Diagram Explanation The diagram shows an AC circuit with a generator and a capacitor: - **Generator (\( G \))**: Producing the alternating current. - **Capacitor (\( C \))**: Connected in series with the generator. - Current (\( i_c \)) and Capacitor Voltage (\( v_c \)) are indicated in the circuit. ### Questions and Fields for Answers: - **(a)** Maximum Current - Input field for the numerical value (Units: A) - **(b)** Emf when Current is Maximum - Input field for the numerical value (Units: V) - **(c)** Current when Emf is -12.9 V - Input field for the numerical value (Units: A) Input fields are presented below each question for students to enter their answers, with units specified.
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