Complete the table below.
A. Source charge (Q) B. Distance from source charge (R) C. Electric potential (Ve)
(A.1) 4.31x10^3 C (B.1) 7.11x10^-12m (C.1) ________________?
(A.2) ____________? (B.2) 3.05x10^-6m (C.2) 3.32V
(A.3) 2.33x10^-13C (B.3) _____________? (C.3) 12.04V
(A.4) 2.04x10^9C (B.4) 5.83x10^13m (C.4)________________?
(C.1) Ve=kqr=9⋅109⋅4.31⋅1037.11⋅10−12=5.46⋅1024 (V)(C.1)\ V_e=k\frac{q}{r}=9\cdot10^9\cdot\frac{4.31\cdot10^3}{7.11\cdot10^{-12}}=5.46\cdot10^{24}\ (V)(C.1) Ve=krq=9⋅109⋅7.11⋅10−124.31⋅103=5.46⋅1024 (V)
(A.2) q=Ve⋅rk=3.32⋅3.05⋅10−69⋅109=1.03⋅10−15 (C)(A.2)\ q=\frac{V_e\cdot r}{k}=\frac{3.32\cdot3.05\cdot10^{-6}}{9\cdot10^9}=1.03\cdot10^{-15}\ (C)(A.2) q=kVe⋅r=9⋅1093.32⋅3.05⋅10−6=1.03⋅10−15 (C)
(B.3) r=kqVe=9⋅109⋅2.33⋅10−1312.04=1.74⋅10−4 (m)(B.3)\ r=k\frac{q}{V_e}=9\cdot10^9\cdot\frac{2.33\cdot10^{-13}}{12.04}=1.74\cdot10^{-4}\ (m)(B.3) r=kVeq=9⋅109⋅12.042.33⋅10−13=1.74⋅10−4 (m)
(C.4) Ve=kqr=9⋅109⋅2.04⋅1095.83⋅1013≈315⋅103 (V)(C.4)\ V_e=k\frac{q}{r}=9\cdot10^9\cdot\frac{2.04\cdot10^9}{5.83\cdot10^{13}}\approx315\cdot10^{3}\ (V)(C.4) Ve=krq=9⋅109⋅5.83⋅10132.04⋅109≈315⋅103 (V)
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