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GATE EE 2024 Set 1 — Question 52

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NAT+2 / -0HardGradient, Divergence & CurlVector CalculusEngineering MathematicsFlux Density & Field IntensityMagnetostaticsElectromagnetic Fields

Electromagnetic Fields → Magnetostatics → Flux Density & Field Intensity

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Question

The given equation represents a magnetic field strength H⃗(r,θ,ϕ)\vec{H}(r, \theta, \phi) in the spherical coordinate system, in free space. Here, r^\hat{r} and θ^\hat{\theta} represent the unit vectors along rr and θ\theta, respectively. The value of PP in the equation should be ____________ (rounded off to the nearest integer).H⃗(r,θ,ϕ)=1r3(r^Pcos⁡θ+θ^sin⁡θ)\vec{H}(r, \theta, \phi) = \frac{1}{r^3} (\hat{r} P \cos \theta + \hat{\theta} \sin \theta)
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