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Two very long parallel wires are placed 10cm apart, one directly above the other. The bottom wire carries current IB = 40A flowing into the page. The top wire carries a current IT = 20A, out of the page.   a) What is the magnitude and direction of the magnetic force between the wires over a 1m length of wire? Are they attracted to each other or repelled? b) What is the magnitude and direction of the total magnetic field at a point exactly half way between the two wires? (Hint: use superposition.) c) An electron is exactly half way between the wires with an instantaneous velocity exactly out of the page of v = 104 m/s. What is the magnitude and direction of the instantaneous magnetic force on the electron?

Two very long parallel wires are placed 10cm apart, one directly above the other. The bottom wire carries current IB = 40A flowing into the page. The top wire carries a current IT = 20A, out of the page.   a) What is the magnitude and direction of the magnetic force between the wires over a 1m length of wire? Are they attracted to each other or repelled? b) What is the magnitude and direction of the total magnetic field at a point exactly half way between the two wires? (Hint: use superposition.) c) An electron is exactly half way between the wires with an instantaneous velocity exactly out of the page of v = 104 m/s. What is the magnitude and direction of the instantaneous magnetic force on the electron?

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Two very long parallel wires are placed 10cm apart, one directly above the other. The bottom wire carries current IB = 40A flowing into the page. The top wire carries a current IT = 20A, out of the page.

 

a) What is the magnitude and direction of the magnetic force between the wires over a 1m length of wire? Are they attracted to each other or repelled?

b) What is the magnitude and direction of the total magnetic field at a point exactly half way between the two wires? (Hint: use superposition.)

c) An electron is exactly half way between the wires with an instantaneous velocity exactly out of the page of v = 104 m/s. What is the magnitude and direction of the instantaneous magnetic force on the electron?

### Diagram Explanation #### Diagram: Electron Flow in Electric Field This diagram illustrates the path of an electron (denoted as e-) and its influence in electric fields. - **I_T (Top Force/Field):** - Represented by a black dot surrounded by a blue circle. This indicates the presence of a force or field at the top acting on the electron. - **e- (Electron):** - Illustrated as a simple black dot. The electron in this context is experiencing force fields from both directions—above and below it. - **I_B (Bottom Force/Field):** - Depicted by a black dot with a blue crossed circle. This signifies a force or field at the bottom acting on the electron. #### Explanation: In this diagram: - The electron (e-) is positioned between two forces or fields: I_T and I_B. - The top field, I_T, exerts influence downward on the electron. - The bottom field, I_B, exerts influence upward on the electron. This setup could represent various physical scenarios such as: - An electron in a static electric field. - The influence of magnetic fields in a defined region. Understanding the forces acting on the electron helps in comprehending concepts such as electric fields, force interaction, and movement of charged particles under different conditions.
Transcribed Image Text:### Diagram Explanation #### Diagram: Electron Flow in Electric Field This diagram illustrates the path of an electron (denoted as e-) and its influence in electric fields. - **I_T (Top Force/Field):** - Represented by a black dot surrounded by a blue circle. This indicates the presence of a force or field at the top acting on the electron. - **e- (Electron):** - Illustrated as a simple black dot. The electron in this context is experiencing force fields from both directions—above and below it. - **I_B (Bottom Force/Field):** - Depicted by a black dot with a blue crossed circle. This signifies a force or field at the bottom acting on the electron. #### Explanation: In this diagram: - The electron (e-) is positioned between two forces or fields: I_T and I_B. - The top field, I_T, exerts influence downward on the electron. - The bottom field, I_B, exerts influence upward on the electron. This setup could represent various physical scenarios such as: - An electron in a static electric field. - The influence of magnetic fields in a defined region. Understanding the forces acting on the electron helps in comprehending concepts such as electric fields, force interaction, and movement of charged particles under different conditions.
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