Three charged particles are located at the corners of an equilateral triangle as shown in the figure below (let q = 3.00 µC, and L = 0.530 m). Calculate the total electric force on the 7.00-µC charge. magnitude  N direction  ° (counterclockwise from the +x axis)

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Three charged particles are located at the corners of an equilateral triangle as shown in the figure below (let q = 3.00 µC, and L = 0.530 m). Calculate the total electric force on the 7.00-µC charge.

magnitude  N
direction  ° (counterclockwise from the +x axis)
This diagram displays a configuration of three point charges forming a triangle. The charges are situated as follows:

1. **Top Charge** (positioned at the apex of the triangle):
   - Charge: \( +7.00 \, \mu\text{C} \)
   - Labelled with a 'plus' sign indicating it is a positive charge.

2. **Left Charge** (positioned at the bottom-left corner of the triangle):
   - Charge: \( +q \)
   - Labelled with a 'plus' sign indicating it is a positive charge.

3. **Right Charge** (positioned at the bottom-right corner of the triangle):
   - Charge: \( -4.00 \, \mu\text{C} \)
   - Labelled with a 'minus' sign indicating it is a negative charge.

The triangle is defined by the distance \(L\) between the charges. The angle located at the bottom-left corner of the triangle (between the line joining the left and right charges and the line joining the left and top charges) is \(60.0^\circ\).

The coordinates system is labeled with the \(y\) axis pointing upwards vertically and the \(x\) axis pointing to the right horizontally. The point charge labeled \(+q\) is aligned with an extension of the vertical \(y\) axis, and the point charge labeled \(-4.00 \, \mu\text{C}\) is aligned with the horizontal \(x\) axis. This means the triangle is orientated within this Cartesian plane.

This arrangement is frequently used in physics problems to explore electric forces and fields due to point charges. The given charges and precise geometries can help in calculating resultant forces, electric fields, potentials, and related quantities.
Transcribed Image Text:This diagram displays a configuration of three point charges forming a triangle. The charges are situated as follows: 1. **Top Charge** (positioned at the apex of the triangle): - Charge: \( +7.00 \, \mu\text{C} \) - Labelled with a 'plus' sign indicating it is a positive charge. 2. **Left Charge** (positioned at the bottom-left corner of the triangle): - Charge: \( +q \) - Labelled with a 'plus' sign indicating it is a positive charge. 3. **Right Charge** (positioned at the bottom-right corner of the triangle): - Charge: \( -4.00 \, \mu\text{C} \) - Labelled with a 'minus' sign indicating it is a negative charge. The triangle is defined by the distance \(L\) between the charges. The angle located at the bottom-left corner of the triangle (between the line joining the left and right charges and the line joining the left and top charges) is \(60.0^\circ\). The coordinates system is labeled with the \(y\) axis pointing upwards vertically and the \(x\) axis pointing to the right horizontally. The point charge labeled \(+q\) is aligned with an extension of the vertical \(y\) axis, and the point charge labeled \(-4.00 \, \mu\text{C}\) is aligned with the horizontal \(x\) axis. This means the triangle is orientated within this Cartesian plane. This arrangement is frequently used in physics problems to explore electric forces and fields due to point charges. The given charges and precise geometries can help in calculating resultant forces, electric fields, potentials, and related quantities.
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