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.
Gives
q1=5statCq_1=5statCq1=5statC
q2=60statCq_2=60statCq2=60statC
r1=24cmr_1=24cmr1=24cm
r2=3cmr_2=3cmr2=3cm
Point charge=q0
W=q(V2−V1)→(1)W=q(V_2-V_1)\rightarrow(1)W=q(V2−V1)→(1)
V2=kqr22V_2=\frac{kq}{r_2^2}V2=r22kq
V1=kqr12V_1=\frac{kq}{r_1^2}V1=r12kq
V1=9×109×5×3.33×10−1024×10−2V_1=\frac{9\times10^9\times5\times3.33\times10^{-10}}{24\times10^{-2}}V1=24×10−29×109×5×3.33×10−10
V1=62.54VV_1=62.54VV1=62.54V
V2=9×109×60×3.33×10−103×10−2V_2=\frac{9\times10^9\times60\times3.33\times10^{-10}}{3\times10^{-2}}V2=3×10−29×109×60×3.33×10−10
V2=V_2=V2= 5994 V
Put value in eqution (1)
W=q0(5994−62.5425)W=q_0(5994-62.5425)W=q0(5994−62.5425)
W=5931.45JW=5931.45JW=5931.45J
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