The figure below shows a long straight wire just touching a circular loop carrying a current I₁ = 2.04 A in the counterclockwise direction. Both lie in the same plane. (a) What direction must the current I2 in the straight wire have in order to create a magnetic field at the center of the loop in the direction opposite to that created by the loop? O from right to left O from left to right (b) What current must the long straight wire carry in order have zero net magnetic field strength at the center of the loop? A Additional Materials Reading

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Chapter1: Units, Trigonometry. And Vectors
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### Magnetic Fields and Currents in Wire Loops

#### Problem Statement:
The figure below shows a long straight wire just touching a circular loop carrying a current \( I_{1} = 2.04 \, \text{A} \) in the counterclockwise direction. Both lie in the same plane.

![](https://via.placeholder.com/50) *Graph explanation:* The diagram illustrates a circular loop with a counterclockwise current flow, represented by curved arrows. A long straight wire is positioned such that it lightly touches the circular loop.

#### Questions:
(a) What direction must the current \( I_{2} \) in the straight wire have in order to create a magnetic field at the center of the loop in the direction opposite to that created by the loop?

- [ ] From right to left
- [ ] From left to right

(b) What current must the long straight wire carry in order to have zero net magnetic field strength at the center of the loop?

*Answer Box:* \( \underline{\hspace{3cm}} \text{A} \)

#### Additional Materials:
- [Reading](#)
- [Tutorial](#)


In this problem, we need to consider the magnetic fields produced by both the circular loop and the long straight wire. By using the right-hand rule, we can determine the direction and magnitude of the required current in the straight wire so that the net magnetic field at the center of the loop is zero. 

**Note:** Select the correct direction choice and calculate the current accurately based on the superposition principle for magnetic fields.
Transcribed Image Text:### Magnetic Fields and Currents in Wire Loops #### Problem Statement: The figure below shows a long straight wire just touching a circular loop carrying a current \( I_{1} = 2.04 \, \text{A} \) in the counterclockwise direction. Both lie in the same plane. ![](https://via.placeholder.com/50) *Graph explanation:* The diagram illustrates a circular loop with a counterclockwise current flow, represented by curved arrows. A long straight wire is positioned such that it lightly touches the circular loop. #### Questions: (a) What direction must the current \( I_{2} \) in the straight wire have in order to create a magnetic field at the center of the loop in the direction opposite to that created by the loop? - [ ] From right to left - [ ] From left to right (b) What current must the long straight wire carry in order to have zero net magnetic field strength at the center of the loop? *Answer Box:* \( \underline{\hspace{3cm}} \text{A} \) #### Additional Materials: - [Reading](#) - [Tutorial](#) In this problem, we need to consider the magnetic fields produced by both the circular loop and the long straight wire. By using the right-hand rule, we can determine the direction and magnitude of the required current in the straight wire so that the net magnetic field at the center of the loop is zero. **Note:** Select the correct direction choice and calculate the current accurately based on the superposition principle for magnetic fields.
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