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In each of the figures below, a charge \( q_1 = 11.3 \, \text{nC} \) is moving with a speed \( v = 2.0 \times 10^7 \, \text{m/s} \). The direction is pointing in the (a) right, (b) up, (c) left, and (d) downward direction on a Cartesian coordinate system as shown below. When the charge passes by the location \( (5.00 \, \text{cm}, 5.00 \, \text{cm}) \), what is the magnetic field vector (in component form) at the location \( (5.00 \, \text{cm}, 0.00 \, \text{cm}) \) for each situation?

**Diagram Descriptions:**

- **Diagram (a):** A Cartesian coordinate system with marked axes. A blue circle labeled \( q_1 \) is shown with a vector \( v \) pointing to the right. A red dot labeled \( p \) is located slightly above the x-axis, to the right of \( q_1 \).

- **Diagram (b):** Similar Cartesian coordinate system. The blue circle \( q_1 \) has the vector \( v \) pointing upward. The red dot \( p \) remains at the same position as in (a).

- **Diagram (c):** Again, same Cartesian setup. Here, \( q_1 \)'s vector \( v \) points to the left. The red dot \( p \) remains to the right of \( q_1 \).

- **Diagram (d):** In this diagram, the vector \( v \) of \( q_1 \) points downward. The position of \( p \) remains consistent with other diagrams.

These diagrams visually represent the movement of a charged particle in various directions relative to a fixed point \( p \) and are used to determine the magnetic field vector at a specified location.
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Transcribed Image Text:In each of the figures below, a charge \( q_1 = 11.3 \, \text{nC} \) is moving with a speed \( v = 2.0 \times 10^7 \, \text{m/s} \). The direction is pointing in the (a) right, (b) up, (c) left, and (d) downward direction on a Cartesian coordinate system as shown below. When the charge passes by the location \( (5.00 \, \text{cm}, 5.00 \, \text{cm}) \), what is the magnetic field vector (in component form) at the location \( (5.00 \, \text{cm}, 0.00 \, \text{cm}) \) for each situation? **Diagram Descriptions:** - **Diagram (a):** A Cartesian coordinate system with marked axes. A blue circle labeled \( q_1 \) is shown with a vector \( v \) pointing to the right. A red dot labeled \( p \) is located slightly above the x-axis, to the right of \( q_1 \). - **Diagram (b):** Similar Cartesian coordinate system. The blue circle \( q_1 \) has the vector \( v \) pointing upward. The red dot \( p \) remains at the same position as in (a). - **Diagram (c):** Again, same Cartesian setup. Here, \( q_1 \)'s vector \( v \) points to the left. The red dot \( p \) remains to the right of \( q_1 \). - **Diagram (d):** In this diagram, the vector \( v \) of \( q_1 \) points downward. The position of \( p \) remains consistent with other diagrams. These diagrams visually represent the movement of a charged particle in various directions relative to a fixed point \( p \) and are used to determine the magnetic field vector at a specified location.
Expert Solution
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Step 1
Given:
q1=11.3nC
v=2.0×107ms
 
It is required to determine the magnetic field for each case in the component form.