what is the direction of the electric field at the corner? (answer choices on pi

Question

what is the direction of the electric field at the corner? (answer choices on picture) T-Mobile Wi-Fi 10:37 ANM a session.masteringphysics.com Problem 16.29 MasteringPhysics corner of a square 2.12 m on a side if corners are occupied by 2.25x06 C charges. Express your answer to three significant figures and include the appropriate units. the other three E 2.25.103 Submit Request Answer Incorrect; Try Again; 10 attempts remaining Part B What is the direction of the electric field at the corner? along the line between the corner and the center of the square toward the center along the line between the corner and the center of the square outward of the center along the side of the square between the corner and one of the charges outward of the charge corner and one of along the side of the square between the the charges toward the charge

Explanation / Answer

here,

side of square , a = 2.12 m

diagonal , r = 1.41 * a = 2.9892 m

charge , q = 2.25 * 10^-6 C

the electric feild due to adjacent corner charge , E1 = K * q /a^2

due to similarity

the magnitude of electric feild due to two adjacent corner charges , E2 = 2 * E1 * sin(45)

the magnitude of electric feild due to three charges , E = the magnitude of electric feild due to two adjacent corner charges + the magnitude of electric feild due to opposite corner charge

E = 2 * E1 * sin(45) + K * q /r^2

E = 2 * K * q /a^2 * din(45) + K * q /r^2

E = 9 * 10^9 * 2.25 * 10^-6 * ( 2 * sin(45)/2.12^2 + 1/2.9892^2) N/C

E = 8638.2 N/C

B)

as the chrages are of same sign and positive

the direction of electric feild at the corner is along the line between the corner and the center of the square outward of the center

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