5. Four charged particles are at the corners of a square of side a as shown in the figure below. (Let A = 5, B = 5, and C = 7.) What is Ey, the y-component of the electric field at the location of charge q? Use %3D sin 45° = cos 45 =1/ /2 · a Aq Cq Bq a А. 2kgla? ką 5 7+ В. а' 2/2,

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5. Four charged particles are at the corners of a square of side \( a \) as shown in the figure below. (Let A = 5, B = 5, and C = 7.) What is \( E_y \), the y-component of the electric field at the location of charge \( q \)? Use \(\sin 45^\circ = \cos 45^\circ = 1/\sqrt{2}\).

### Diagram
- The diagram shows a square with side length \( a \).
- There are four charged particles located at each corner of the square.
- Charges labeled as \( Aq \), \( Bq \), \( Cq \), and \( q \) are placed at each corner.
- The diagram indicates the length of the sides \( a \).

### Options
A. \(\frac{2kq}{a^2}\)

B. \(\frac{kq}{a^2}\left(\frac{7+5}{2\sqrt{2}}\right)\)

C. \(\frac{kq}{a^2}\left(\frac{5+5}{2\sqrt{2}}\right)\)

D. \(\frac{12kq}{a^2}\)

E. \(\frac{5kq}{2\sqrt{2}a^2}\)
Transcribed Image Text:5. Four charged particles are at the corners of a square of side \( a \) as shown in the figure below. (Let A = 5, B = 5, and C = 7.) What is \( E_y \), the y-component of the electric field at the location of charge \( q \)? Use \(\sin 45^\circ = \cos 45^\circ = 1/\sqrt{2}\). ### Diagram - The diagram shows a square with side length \( a \). - There are four charged particles located at each corner of the square. - Charges labeled as \( Aq \), \( Bq \), \( Cq \), and \( q \) are placed at each corner. - The diagram indicates the length of the sides \( a \). ### Options A. \(\frac{2kq}{a^2}\) B. \(\frac{kq}{a^2}\left(\frac{7+5}{2\sqrt{2}}\right)\) C. \(\frac{kq}{a^2}\left(\frac{5+5}{2\sqrt{2}}\right)\) D. \(\frac{12kq}{a^2}\) E. \(\frac{5kq}{2\sqrt{2}a^2}\)
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