In the circuit shown in the following figure(Figure 1) the capacitor has capacitance 20 μF and is initially uncharged. The resistor Ro has resistance 11 2. An emf of 95.0 V is added in series with the capacitor and the resistor. The emf is placed between the capacitor and the switch, with the positive terminal of the emf adjacent to the capacitor. The small circuit is not connected in any way to the large one. The wire of the small circuit has a resistance of 1.3 /m and contains 24 loops. The large circuit is a rectangle 2.0 m by 4.0 m, while the small one has dimensions a = 10.0 cm and b = 25.0 cm. The distance c is 6.0 cm. (The figure is not drawn to scale.) Both circuits are held stationary. Assume that only the wire nearest the small circuit produces an appreciable magnetic field through it. Figure < Ro 1 of 1 > a 10 C b ▾ ▼ Part A The switch is closed at t = 0. When the current in the large circuit. 3.30 A, what is the magnitude of the induced current in the small circuit? Express your answer with the appropriate units. I= Part B Value HA Submit Request Answer Ocounterclockwise clockwise 4 ✔ Correct What is the direction of the induced current in the small circuit? → C Submit Previous Answers < Return to Assignment. Units ? Provide Feedback

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Chapter9: Current And Resistance
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### Educational Content: Induction in Circuits

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#### Circuit Description
In the circuit shown in Figure 1, the capacitor has a capacitance of 20 μF and is initially uncharged. The resistor \( R_0 \) has a resistance of 11 Ω. An emf of 95.0 V is added in series with the capacitor and the resistor. The emf is placed between the capacitor and the switch, with the positive terminal of the emf adjacent to the capacitor.

The small circuit is not connected in any way to the large one. The wire of the small circuit has a resistance of 1.3 Ω/m and contains 24 loops. The large circuit is a rectangle measuring 2.0 m by 4.0 m, while the small one has dimensions \( a = 10.0 \) cm and \( b = 25.0 \) cm. The distance \( c \) is 6.0 cm. (The figure is not drawn to scale.) Both circuits are held stationary. Assume that only the wire nearest the small circuit produces an appreciable magnetic field through it.

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#### Problem 1: Induced Current Magnitude
**Part A**
- **Scenario**: The switch is closed at \( t = 0 \). When the current in the large circuit is 3.30 A, what is the magnitude of the induced current in the small circuit?
- **Input Required**: Express your answer with the appropriate units.

**Answer Box:**
- \[
I = \_\_\_\_\_\_ \text{ (Value and Units)}
\]

---

#### Problem 2: Direction of Induced Current
**Part B**
- **Question**: What is the direction of the induced current in the small circuit?
  
**Options**:
- ☐ Counterclockwise
- ☑ Clockwise

The correct answer is "Clockwise."

---

#### Figure Explanation
**Figure 1**: The diagram includes a large rectangular circuit with an emf (\( \mathcal{E} \)), a capacitor (\( C \)), a resistor (\( R_0 \)), and a switch (\( S \)). There is also a small rectangular circuit depicted nearby. The proximity of the two circuits indicates potential magnetic interaction, which is essential for understanding induction effects.
Transcribed Image Text:### Educational Content: Induction in Circuits --- #### Circuit Description In the circuit shown in Figure 1, the capacitor has a capacitance of 20 μF and is initially uncharged. The resistor \( R_0 \) has a resistance of 11 Ω. An emf of 95.0 V is added in series with the capacitor and the resistor. The emf is placed between the capacitor and the switch, with the positive terminal of the emf adjacent to the capacitor. The small circuit is not connected in any way to the large one. The wire of the small circuit has a resistance of 1.3 Ω/m and contains 24 loops. The large circuit is a rectangle measuring 2.0 m by 4.0 m, while the small one has dimensions \( a = 10.0 \) cm and \( b = 25.0 \) cm. The distance \( c \) is 6.0 cm. (The figure is not drawn to scale.) Both circuits are held stationary. Assume that only the wire nearest the small circuit produces an appreciable magnetic field through it. --- #### Problem 1: Induced Current Magnitude **Part A** - **Scenario**: The switch is closed at \( t = 0 \). When the current in the large circuit is 3.30 A, what is the magnitude of the induced current in the small circuit? - **Input Required**: Express your answer with the appropriate units. **Answer Box:** - \[ I = \_\_\_\_\_\_ \text{ (Value and Units)} \] --- #### Problem 2: Direction of Induced Current **Part B** - **Question**: What is the direction of the induced current in the small circuit? **Options**: - ☐ Counterclockwise - ☑ Clockwise The correct answer is "Clockwise." --- #### Figure Explanation **Figure 1**: The diagram includes a large rectangular circuit with an emf (\( \mathcal{E} \)), a capacitor (\( C \)), a resistor (\( R_0 \)), and a switch (\( S \)). There is also a small rectangular circuit depicted nearby. The proximity of the two circuits indicates potential magnetic interaction, which is essential for understanding induction effects.
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