wire with current i=3.06 A is shown in the figure. Two semi adius 3.52 cm. are connected by a circular arcthat has a cent onnecting arcand the two straight sections aWlie in the sam

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Chapter1: Units, Trigonometry. And Vectors
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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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A wire with current \( i = 3.06 \, \text{A} \) is shown in the figure. Two semi-infinite straight sections, both tangent to the same circle with radius \( 3.52 \, \text{cm} \), are connected by a circular arc that has a central angle \( \Theta \) and runs along the circumference of the circle. The connecting arc and the two straight sections all lie in the same plane. If \( B = 0 \) at the center of the circle, what is \( \Theta \)?

**Diagram Explanation:**  
The diagram shows a circle with two arrows pointing out from the circumference, indicating the straight wire sections. A connecting arc is indicated between the tangents. The central angle \( \Theta \) is depicted at the center of the circle between the two straight wire directions.

**Input Fields:**
- **Number:** Input field for numerical answer.
- **Units:** Dropdown menu with "degrees" as the unit option.
Transcribed Image Text:A wire with current \( i = 3.06 \, \text{A} \) is shown in the figure. Two semi-infinite straight sections, both tangent to the same circle with radius \( 3.52 \, \text{cm} \), are connected by a circular arc that has a central angle \( \Theta \) and runs along the circumference of the circle. The connecting arc and the two straight sections all lie in the same plane. If \( B = 0 \) at the center of the circle, what is \( \Theta \)? **Diagram Explanation:** The diagram shows a circle with two arrows pointing out from the circumference, indicating the straight wire sections. A connecting arc is indicated between the tangents. The central angle \( \Theta \) is depicted at the center of the circle between the two straight wire directions. **Input Fields:** - **Number:** Input field for numerical answer. - **Units:** Dropdown menu with "degrees" as the unit option.
Expert Solution
Step 1

Given:-

The current in the wire I = 3.06 A 

Two semi-infinite straight sections both tangent to the same circle with radius  R = 3.52 cm

A circular arc of a central angle( θ) , along the circumference of the circle,  with all sections lying in the same plane

The magnetic field at the center of the circle is Zero. 

Find:-

What is  (θ)?

 

 

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