Field lines and field strength

         

Four charged particles are held on the same plane, as shown in the above figure. The respective charges of the particles are q1=q2=+5.0μC,q_1=q_2=+5.0 \,\mu\text{C}, q3=+4.0μC,q_3=+4.0 \,\mu\text{C}, and q4=16.0μC,q_4=-16.0 \,\mu\text{C}, and the distance dd in the figure is 8.0 mm.8.0 \text{ mm}. What is the magnitude of the net electric field at point PP due to the four particles?

The value of electrostatic constant is k=14πε0=8.99×109 Nm2/C2.\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2.

Four particles are at the corners of a square with side length a=5.00 cm,a=5.00\text{ cm}, as shown in the above figure. The respective charges of the particles are q1=+12.0 nC,q_1=+12.0\text{ nC}, q2=24.0 nC,q_2=-24.0\text{ nC}, q3=+24.0 nC,q_3=+24.0\text{ nC}, and q4=12.0 nC.q_4=-12.0\text{ nC}. What are the magnitude and direction of the net electric field at the center of the square?

The value of electrostatic constant is k=14πε0=8.99×109 Nm2/C2.\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2.

In the above figure, the separation of electric field lines on the left is twice the separation of those on the right. If the magnitude of the field at position A is 70 N/C,70\text{ N/C}, what is the magnitude of the field at position B?

Three charged particles are held on the xyxy-plane, as shown in the above figure. The distance denoted dd in the figure is d=6.00μm.d=6.00\,\mu\text{m}. If the respective charges of the particles are q1=q2=+4eq_1=q_2=+4e and q3=+8e,q_3=+8e, what is the magnitude of the net electric field at point PP due to the three charged particles?

The value of electrostatic constant is k=14πε0=8.99×109 Nm2/C2\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2 and the elementary charge is e=1.60×1019 C.e=1.60 \times 10^{-19}\text{ C}.

The figure above portrays the electric field produced by two positive-charged particles. Which of the following correctly lists the points A, B, C, and D in order of increasing electric field strength?

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