Three point charges are arranged in the xy-plane as follows: at the origin

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Three point charges are arranged in the xy-plane as follows:

+5\,\mu\text{C}

at the origin,

-3\,\mu\text{C}

(0.30\,\text{m},0)

, and

+2\,\mu\text{C}

(0,0.40\,\text{m})

. What are the magnitude and direction of the net electric field at the point

(0.30\,\text{m},0.40\,\text{m})

? (a)

4.4\times10^{5}\,\text{N/C}

, directed

46^{\circ}

above the

+x

-axis (b)

3.1\times10^{5}\,\text{N/C}

, directed

5^{\circ}

above the

+x

-axis (c)

3.1\times10^{5}\,\text{N/C}

, directed

5^{\circ}

below the

+x

-axis (d)

1.1\times10^{5}\,\text{N/C}

, directed along the

+x

-axis