An electric dipole is placed along the x axis at the origin O.a point P is at distance of 20 cm from this origin such that OP makes π/3 with the x-axis .if the electric field at P makes an angle theta with the x acis the value of theta would be
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The value of theta would be 101°
Explanation:
=> According to the figure,
θ = α + 60
=> If we resolve E into its component, then we get
Ecosα = 2pcos60/4πε₀r³ ...(1)
Esinα = psin60/4πε₀r³ ...(2)
=> If divide eq(2) by eq(1), we get
tanα = 1/2 * tan60
tanα = √3/2
α = tan⁻¹ √3/2
α = 41⁰
=> If we place value of α in above eq of θ, we get
θ = 60 + α
θ = 60 + 41
θ = 101°
Thus, the value of theta would be 101°
Learn more:
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Q:2 Find the value of theta when tan theta is equals to 0.343
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