Electricity and Magnetism
# Electric Flux

$q_1=q_2=+5.0 \,\mu\text{C},$ $q_3=+4.0 \,\mu\text{C},$ and $q_4=-16.0 \,\mu\text{C},$ and the distance $d$ in the figure is $8.0 \text{ mm}.$ What is the magnitude of the net electric field at point $P$ due to the four particles?

Four charged particles are held on the same plane, as shown in the above figure. The respective charges of the particles areThe value of electrostatic constant is $\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2.$

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

Four particles are at the corners of a square with side lengthThe value of electrostatic constant is $\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2.$

**A** is $70\text{ N/C},$ what is the magnitude of the field at position **B**?

$xy$-plane, as shown in the above figure. The distance denoted $d$ in the figure is $d=6.00\,\mu\text{m}.$ If the respective charges of the particles are $q_1=q_2=+4e$ and $q_3=+8e,$ what is the magnitude of the net electric field at point $P$ due to the three charged particles?

Three charged particles are held on theThe value of electrostatic constant is $\displaystyle k=\frac{1}{4\pi\varepsilon_0}=8.99 \times 10^9 \text{ N}\cdot\text{m}^2\text{/C}^2$ and the elementary charge is $e=1.60 \times 10^{-19}\text{ C}.$