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Question

Find the dimensions and units of ε0 ?

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Solution

Force= F=14πϵq2r2ϵ=14πFq2r2
[ϵ]=(MLT2)1(AT)2L1=M1L3T4A2
Electric field , E=14πϵqr2ϵ=14πEqr2
Unit [E]=Unit[14πEqr2]=CVmm2=CVm

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