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

## The correct option is B −2, 0, 83Given figure: The relation between electric field and potential is given by E=−∂V∂r That means slope of V−r graph gives electric field E. So, Case (i) : At r=1 m Electric field E1=Slope OA=−ΔVΔr Substituting the values, we get E1=−(4−0)(2−0) ∴E1=−2 Vm−1 Case (ii) : At r=3 m Slope AB=0 ∴E2=0 V/m Case (iii): At r=4.5 m Slope of BC=E3=−[0−45.5−4] ∴E3=41.5=83 V/m Hence, option (B) is the correct answer.

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