Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of H_{ϕ} on r , where H_{ϕ} is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor ?

No Explaination.

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Thefield (in A/m) of a plane wave propagating in free space is given by**A. ** η_{0}/100

**B. ** 100/η0
**C. **

**D. ** 50/η0
**Answer : ****Option D**

**Explaination / Solution: **

The time average power flow density in Watts is

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In cylindrical coordinate system, the potential produced by a uniform ring charge is given by φ = f(r, z), where f is a continuous function of r and z. Let be the resulting electric field. Then the magnitude of ∇ ×

**A. ** increases with r.

**B. ** is 0.

**C. ** is 3.

**D. ** decreases with z.

**Answer : ****Option B**

**Explaination / Solution: **

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A vector is given by Which one of the following statements is TRUE?
**A. ** is solenoidal, but not irrotational

**B. ** is irrotational, but not solenoidal

**C. ** is neither solenoidal nor irrotational

**D. ** is both solenoidal and irrotational

**Answer : ****Option A**

**Explaination / Solution: **

Given vector,

Given vector,

If divergence then vector is solenoidal. So, we obtain

Hence, it is solenoidal.

Again, if curl then is irrotational. So, we obtain

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Two electric charges q and −2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is

**A. ** x = −2

**B. ** y = 2

**C. ** x^{2} + y^{2} = 2

**D. ** (x+2)^{2} + y^{2} = 16

**Answer : ****Option D**

**Explaination / Solution: **

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For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of Maxwell’s equations ?

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

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The value of the line integral

**A. ** 0

**B. ** 2

**C. ** 4

**D. ** 6

**Answer : ****Option B**

**Explaination / Solution: **

along a path joining the origin (0, 0, 0) and the point (1, 1, 1) is

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Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point

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The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permittivity 𝜖 i

**A. ** 0

**B. ** away from the plate

**C. ** towards the plate

**D. ** towards the plate

**Answer : ****Option C**

**Explaination / Solution: **

Consider the point charge +q and infinite surface as shown below.

Consider the point charge +q and infinite surface as shown below.

We can replace the image charge by a negative equivalent charge -q placed at
2d distance from +q charge

Hence, the force experienced by +q charge is

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The value of the integral of the function g(x,y) = 4x^{3} + 10y^{4} along the straight
line segment from the point (0,0) to the point (1,2) in the x - y plane is

**A. ** 33

**B. ** 35

**C. ** 40

**D. ** 56

**Answer : ****Option A**

**Explaination / Solution: **

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