Question #191257

Calculate the work required to bring a charge of 5.0 statC from a point of 24 cm from a charge of 60 statC to a point 3 cm from it.


1
Expert's answer
2021-05-10T09:17:57-0400

Gives

q1=5statCq_1=5statC

q2=60statCq_2=60statC

r1=24cmr_1=24cm

r2=3cmr_2=3cm

Point charge=q0

W=q(V2V1)(1)W=q(V_2-V_1)\rightarrow(1)

V2=kqr22V_2=\frac{kq}{r_2^2}

V1=kqr12V_1=\frac{kq}{r_1^2}

V1=9×109×5×3.33×101024×102V_1=\frac{9\times10^9\times5\times3.33\times10^{-10}}{24\times10^{-2}}

V1=62.54VV_1=62.54V

V2=9×109×60×3.33×10103×102V_2=\frac{9\times10^9\times60\times3.33\times10^{-10}}{3\times10^{-2}}

V2=V_2= 5994 V

Put value in eqution (1)

W=q0(599462.5425)W=q_0(5994-62.5425)

W=5931.45JW=5931.45J


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