Answer to Question #311872 in Electric Circuits for Anne

Question #311872

Two particles having charges π‘ž1 = 1.00 Γ— 10βˆ’19𝐢 and π‘ž2 = 2.00 Γ— 10βˆ’9𝐢 are separated by a distance 2.00m. At what point is the total electric field due to the two charges equal to zero? 


1
Expert's answer
2022-03-21T12:42:53-0400

E1βƒ—+E2βƒ—=0\vec{E_1}+\vec{E_2}=0 initial conditions

E=kqr2E=\frac{kq}{r^2} electric field


q1r12=q2(lβˆ’r1)2\frac{q_1}{r_1^2}=\frac{q_2}{(l-r_1)^2}r1=lq2q1+1r_1=\frac{l}{\sqrt{\frac{q_2}{q_1}}+1}

Calculating

r1=22β‹…10βˆ’191β‹…10βˆ’9+1β‰ˆ1.99997...r_1=\frac{2}{\sqrt{\frac{2\cdot10^{-19}}{1\cdot10^{-9}}}+1}\approx1.99997...

Answer electric field equal to zero on distances 1.99 metres from q1


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