Superposition Principle

Configuration

Grid

Add Charge

Electric charge: e Coulomb

(e=1.6×10−19)(e = 1.6 \times 10^{-19})

Test Charges

(e=1.6×10−19)(e = 1.6 \times 10^{-19})

Manage Charges

Charge 1: q= Charge\ 1:\ q = \

Charge 2: q= Charge\ 2:\ q = \

Calculation

E⃗1T=kQ(r1T)2rundefined1T=(9.0×109)×(−1×e)(1.41)2[0.710.71]\vec{E}_{ 1T} = \frac{kQ}{(r_{ 1T})^2}\widehat{r}_{ 1T} = \frac{(9.0 \times 10^{9}) \times (-1 \times e)}{(1.41)^2}\begin{bmatrix} 0.71 \\ 0.71 \end{bmatrix} =7.21×10−10[−0.71−0.71] NC\hspace{2.55cm}= 7.21 \times 10^{-10}\begin{bmatrix} -0.71 \\ -0.71 \end{bmatrix}\ \frac{N}{C}

E⃗2T=kQ(r2T)2rundefined2T=(9.0×109)×(1×e)(2.24)2[0.450.89]\vec{E}_{ 2T} = \frac{kQ}{(r_{ 2T})^2}\widehat{r}_{ 2T} = \frac{(9.0 \times 10^{9}) \times (1 \times e)}{(2.24)^2}\begin{bmatrix} 0.45 \\ 0.89 \end{bmatrix} =2.88×10−10[0.450.89] NC\hspace{2.55cm}= 2.88 \times 10^{-10}\begin{bmatrix} 0.45 \\ 0.89 \end{bmatrix}\ \frac{N}{C}

E⃗total=E⃗1t+E⃗2t\vec{E}_{total} = \vec{E}_{ 1t} + \vec{E}_{ 2t} =7.21×10−10[−0.71−0.71]+2.88×10−10[0.450.89]\hspace{0.88cm} = 7.21 \times 10^{-10}\begin{bmatrix} -0.71 \\ -0.71 \end{bmatrix} + 2.88 \times 10^{-10}\begin{bmatrix} 0.45 \\ 0.89 \end{bmatrix} =4.57×10−10[−0.83−0.55] NC\hspace{0.88cm}= 4.57 \times 10^{-10}\begin{bmatrix} -0.83 \\ -0.55 \end{bmatrix}\ \frac{N}{C}

F⃗total=Qt×E⃗total=(1×e)×4.57×10−10[−0.83−0.55]\vec{F}_{total} = Q_{t} \times \vec{E}_{total} = (1 \times e) \times 4.57 \times 10^{-10}\begin{bmatrix} -0.83 \\ -0.55 \end{bmatrix} =7.31×10−29[−0.83−0.55] N\hspace{0.86cm} = 7.31 \times 10^{-29}\begin{bmatrix} -0.83 \\ -0.55 \end{bmatrix}\ N

Explanation

As a part of CSC289 (1/2021)

  • 61130500220 Pittawat Taveekitworachai
  • 61130500245 Wicharn Rueangkhajorn
  • 61130500252 Michal Zielinski
  • 61130500256 Natnarong Trewittayatorn

Source Code

GitHub

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