Consider this figure. What is the magnitude of the electric field at the location of the +2.0?? charge?
A. 18?/?
B. 13?/?
C. 25?/?
D. 20?/?
E. 9.0?/?
Answer is B)13 N/C
Electric field due to point charge is given by
E=KQ/r2
X-Component of net electric field on 2uC charge is
Ex=K|Q3|/r32 =(9*109)(9*10-9)/32=9 N/C
Y-Component of net electric field on 2 uC charge is
Ey=K|Q1|/r12 =(9*109)(16*10-9)/42=9 N/C
Magnitude of net electric field
Enet=sqrt[92+92] =12.73 N/C=13 N/C (approx)
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