Question #181812
  • Two point charges, one +400.0 nC and the other -400.0 nC, located 20.00cm to the right of the first , are in vacuum. Determine the electric field (magnitude and direction) at a point midway between the charges.
1
Expert's answer
2021-04-18T19:33:27-0400

q1=+400 nC=400×109 Cq_1=+400\space nC=400\times10^{-9}\space C

q2=400 nC=400×109 Cq_2=-400\space nC=-400\times10^{-9}\space C

E1=kq1r2=9×109×400×109(10×102)2E_1=\dfrac{kq_1}{r^2}=\dfrac{9\times 10^9\times 400\times 10^{-9}}{(10\times10^{-2})^2}

E1=3.6×105 N/C (towards right)E_1=3.6\times10^5\space N/C\space(towards \space right)

E2=kq2r2=9×109×400×109(10×102)2E_2=\dfrac{kq_2}{r^2}=\dfrac{9\times 10^9\times 400\times 10^{-9}}{(10\times10^{-2})^2}

E2=3.6×105 N/C (towards right)E_2=3.6\times10^5\space N/C\space(towards \space right)

Eres=E1+E2=7.2×109 N/C (towards right)E_{res}=E_1+E_2=7.2\times10^9\space N/C\space(towards \space right)


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