Charge q1 = +q is located at position (0, d). Charge q2 = −3 q1 is loc

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Charge q1 = +q is located at position (0, d). Charge q2 = −3 q1 is located at position (d, 0). Charge q3 = 5 q1 is located at position (2d, 2d). Determine the net electric field E→net at the origin in terms of the given quantities and physical constants, including the permittivity of free space ε0. Express the electric field using ij unit vector notation. Enter precise fractions and roots rather than entering their approximate numerical values.

$Charge q1 = +q is located at position (0, d). Charge q2 = −3 q1 is located at position (d, 0). Charge q3 = 5 q1 is located at position (2d, 2d). Determine the net electric field E→net at the origin in terms of the given quantities and physical constants, including the permittivity of free space ε0. Express the electric field using ij unit vector notation. Enter precise fractions and roots rather than entering their approximate numerical values.$

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Charge

q_{1} = + q

is located at position

(0, d)

. Charge

q_{2} = - 3 q_{1}

is located at position

(d, 0)

. Charge

q_{3} = 5 q_{1}

is located at position

(2 d, 2 d)

Determine the net electric field

{\vec{E}}_{net}

at the origin in terms of the given quantities and physical constants, including the permittivity of free space

ε_{0}

. Express the electric field using ij unit vector notation. Enter precise fractions and roots rather than entering their approximate numerical values.