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Question

The variation of electric potential (V) with distance (r) from a fixed point is as shown in the figure. Electric field intensity (in V/m) at r=1 m, 3 m and 4.5 m are respectively


A
2, 0, 83
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B
+8, 1, 43
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C
2, 0, 83
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D
2, 1, 83
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Solution

The correct option is C 2, 0, 83
Given figure:


The relation between electric field and potential is given by
E=Vr

That means slope of Vr graph gives electric field E.

So,
Case (i) : At r=1 m
Electric field E1=Slope OA=ΔVΔr

Substituting the values, we get

E1=(40)(20)

E1=2 Vm1

Case (ii) : At r=3 m

Slope AB=0

E2=0 V/m

Case (iii): At r=4.5 m

Slope of BC=E3=[045.54]

E3=41.5=83 V/m

Hence, option (B) is the correct answer.

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