The magnitude of magnetic flux density at a point having normal distance d meters from
an infinitely extended wire carrying current of l A is (in SI units). An infinitely
extended wire is laid along the x-axis and is carrying current of 4 A in the +ve x direction.
Another infinitely extended wire is laid along the y-axis and is carrying 2 A current in the +ve
y direction ยต_{0} is permeability of free space Assume to be unit vectors along x, y and
z axes respectively.

**A. **

**B. **

**C. **

**D. ** 0 A/m

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

**Explaination / Solution: **

Assuming right handed coordinate system, magnetic field intensity, at coordinate (2,1,0)
will be

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The current density in a medium is given by The total current and the average current density flowing through the portion of a spherical
surface r = 0.8 m, are given, respectively, by
**A. ** 15.09 A, 12.86 Am^{-2}

**B. ** 18.73 A, 13.65 Am-2

**C. ** 12.86 A, 9.23 Am-2

**D. ** 10.28 A, 7.56 Am-2

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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If C is code curve enclosing a surface S , then magnetic field intensity , the
current density and the electric flux density are related by

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

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Match the following

**A. ** P-2, Q-1, R-4, S-3

**B. ** P-4, Q-1, R-3, S-2

**C. ** P-4, Q-3, R-1, S-2

**D. ** P-3, Q-4, R-2, S-1

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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It is given that X, X .... X_{M} at M non-zero, orthogonal vectors. The dimension of
the vector space spanned by the 2M vectors X, X, ....XM, - X, - X, ..... - XM is

**A. ** 2M

**B. ** M+

**C. ** M

**D. ** dependent on the choice of X, X, ...XM

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

**Explaination / Solution: **

For two orthogonal vectors, we require two dimensions to define them and similarly for three orthogonal vector we require three dimensions to define them. 2M vectors are basically M orthogonal vector and we require M dimensions to define them.

For two orthogonal vectors, we require two dimensions to define them and similarly for three orthogonal vector we require three dimensions to define them. 2M vectors are basically M orthogonal vector and we require M dimensions to define them.

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The expression for an electric field in free space is where x, y, z represent the spatial coordinates, t represents time, and ๐,k are constants. This electric field
**A. ** does not represent a plane wave

**B. ** represents a circular polarized plane wave propagating normal to the z-axis

**C. ** represents an elliptically polarized plane wave propagating along x-y plane.

**D. ** represents a linearly polarized plane wave

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

**Explaination / Solution: **

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Two semi-infinite dielectric regions are separated by a plane boundary at y=0. The
dielectric constant of region 1 (y<0) and region 2 (y>0) are 2 and 5, Region 1 has uniform
electric field are unit vectors along the x, y and
z axes, respectively. The electric field region 2 is

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

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