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Question

A short dipole is placed along x− axis with centre at origin (O). The electric field at a point P due to dipole such that −−→OP makes an angle of 45∘ with the x− axis, is directed along a direction making

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Solution

The correct option is **B** π4+tan−1(0.5) with x− axis

Given, θ=45∘

Let α be the angle making by net electric field at point P with OP.

So, from the formula,

tanα=tanθ2

⇒tanα=tan45∘2⇒tanα=0.5

⇒α=tan−1(0.5)

Thus, the angle which Enet makes with x− axis is 45∘+tan−1(0.5)=π4+tan−1(0.5)

So, (b) is correct option.

Given, θ=45∘

Let α be the angle making by net electric field at point P with OP.

So, from the formula,

tanα=tanθ2

⇒tanα=tan45∘2⇒tanα=0.5

⇒α=tan−1(0.5)

Thus, the angle which Enet makes with x− axis is 45∘+tan−1(0.5)=π4+tan−1(0.5)

So, (b) is correct option.

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