Three point charges are fixed at the vertices of a right-angled triangle lying in the…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Three point charges are fixed at the vertices of a right-angled triangle lying in the first quadrant:

q_A = +2\,\mu\text{C}

A(0,0)

q_B = +4\,\mu\text{C}

B(0.60\,\text{m},\,0)

, and

q_C = -3\,\mu\text{C}

C(0,\,0.80\,\text{m})

. Consider the right-angled vertex

D

(0.60\,\text{m},\,0.80\,\text{m})

. (i) Find the

x

-component and the

y

-component of the electric field at

D

due to each charge separately. (ii) Using the results of part (i), compute the magnitude of the resultant electric field at

D

. (iii) Specify the angle that the resultant electric field at

D

makes with the positive

x

-axis and identify the quadrant in which the field vector lies.