Three charges are at the corners of an equilateral triangle, as shown in the figure below. Calculate the electric field at a point midway between the two charges on the x-axis. (Let q₁ = 2.50 μC, 9₂ = 6.00 μC, and q3 = -4.50 μC.) magnitude direction A 0.500 m 60.0⁰ 9, N/C o below the +x-axis

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Three charges are at the corners of an equilateral triangle, as shown in the figure below. Calculate the electric field at a point midway between the two charges on the x-axis. (Let \( q_1 = 2.50 \, \mu \text{C}, \, q_2 = 6.00 \, \mu \text{C}, \) and \( q_3 = -4.50 \, \mu \text{C}. \))

**Diagram Description:**

- The diagram shows an equilateral triangle with side lengths of 0.500 m.
- Charge \( q_1 \) is located at the top of the triangle and is marked with a positive charge (\(+\)).
- Charge \( q_2 \) is on the bottom left corner of the triangle, also marked with a positive charge (\(+\)).
- Charge \( q_3 \) is on the bottom right corner with a negative charge (\(-\)).
- The angle between the horizontal line (x-axis) and the line connecting \( q_2 \) and \( q_1 \) is \( 60.0^\circ \).

**Tasks:**

- Calculate the magnitude of the electric field (in N/C) at the midpoint between \( q_2 \) and \( q_3 \) on the x-axis.
- Determine the direction of the electric field in degrees below the +x-axis.

**Input Fields:**

- Magnitude: ____ N/C
- Direction: ____ ° below the +x-axis
Transcribed Image Text:Three charges are at the corners of an equilateral triangle, as shown in the figure below. Calculate the electric field at a point midway between the two charges on the x-axis. (Let \( q_1 = 2.50 \, \mu \text{C}, \, q_2 = 6.00 \, \mu \text{C}, \) and \( q_3 = -4.50 \, \mu \text{C}. \)) **Diagram Description:** - The diagram shows an equilateral triangle with side lengths of 0.500 m. - Charge \( q_1 \) is located at the top of the triangle and is marked with a positive charge (\(+\)). - Charge \( q_2 \) is on the bottom left corner of the triangle, also marked with a positive charge (\(+\)). - Charge \( q_3 \) is on the bottom right corner with a negative charge (\(-\)). - The angle between the horizontal line (x-axis) and the line connecting \( q_2 \) and \( q_1 \) is \( 60.0^\circ \). **Tasks:** - Calculate the magnitude of the electric field (in N/C) at the midpoint between \( q_2 \) and \( q_3 \) on the x-axis. - Determine the direction of the electric field in degrees below the +x-axis. **Input Fields:** - Magnitude: ____ N/C - Direction: ____ ° below the +x-axis
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