Question

A small blue bead of net charge 2.5×10^{-7}C
is held at 1.3m *i*
+ 3m *j* , a small red bead of net
charge 4×10^{-7}C is held at
−1.3m *i *+ 1.5m *j*
, and a small green bead of net
charge −6×10^{-7}C is held at
2.1m *i* + −0.5m *j*
.

What is the *x* -component of the
**net** electric field at the origin?

What is the *y*-component of the
**net** electric field at the origin?

What is the *magnitude* of the **net**
electric field at the origin?

Answer #1

Let OA be the vector from O to point A where charge q1 = 2.5 x
10^{-7} C is placed.

OA = (1.3 i + 3 j)

|OA| = 3.27 m

similarly, OB = ( -1.3, 1.5) and OC = (2.1, -0.5)

|OB| = 1.985 m and |OC| = 2.160 m

The angle between OA and x axis is:

Between OB and x axis: [clockwise from -x axis]

and between OC and x axis: [clockwise from +x axis]

so, x component of the net electric field at the origin will be:

similarly, y component of the net electric field is:

The magnitude of the net electric field will be:

.

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