in the figure below, two point charges , q1=+24.0nC and q2=-67.0nC, are separate

Question

in the figure below, two point charges , q1=+24.0nC and q2=-67.0nC, are separated by 0.500m. a third charge of 26.0nC is placed at the point A, 0.18m to the left of q2. find the work needed to move the third charge to point B, 0.40m to the left of q1.

in the ligure below, two pre below, tuo pcint charges, gi-t24.U 2C and ga--67oC-aru suparated by O S0U m. A thrd charge 60 nC is plased at the paimt A, o.13 m to the ieft of go Find the wock nensed to mave the third cherge to p ed to mave the third cherge to point B oint B0.40 m a, the left or B, U.NJ m to the let et

Explanation / Answer

Potential at point A:

Distance of Q1 from A, r1 = 0.5 - 0.18 = 0.32 m

Distance of Q2 from A, r2 = 0.18 m                             

Va = [k Q1 / r1] + [k Q2 / r2]

     = 9x10^9 [ (24x10^-9 / 0.32) + (-67x10^-9 / 0.18) ]

     = - 2675 V

Potential at point B:

Distance of Q2 from B, r2 = 0.5 + 0.4 = 0.9 m

Distance of Q1 from B, r1 = 0.4 m                                 

Vb = [k Q1 / r1] + [k Q2 / r2]

     = 9x10^9 [ (24x10^-9 / 0.4) + (-67x10^-9 / 0.9) ]

     = - 130 V

Work done:

W = (Vb - Va) Q3

   = (- 130 V + 2675 V ) ( 26x10^-9 C )

   = 6.6x10^-5 J

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