Electromagnetic Fields : 100 Most Important Questions with Solutions

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1.Which of the following is Poisson’s equation?

A. 

B. 

C. 

D. 

Solution |||

2.If . Then the value of  is ________.

Solution |||

= 3x²y –2x²y –x²y

= 0

3.Equation  is based on

Solution ||| Magnetic monopoles are not physically possible as per Gauss's Law i.e. 

4.The space between the plates of a parallel plate capacitor of capacitance C is filled with three dielectric slabs of identical size as shown in the below figure. If dielectric constants are  the new capacitance is

A. 

B. 

C. 

D. 

Solution ||| 

The circuit shown is connected in parallel with different permittivities of dielectric slabs.
So. 
Since all the three slabs are connected in parallel so net capacitance is

5.Electric displacement current density D at any point on a spherical surface of radius r centered at the isolated charge q is

A. 

B. 

C. 

D. 

Solution ||| Electric field intensity

6.What is the force developed pet meter length between two current-carrying conductors 10cm apart and carrying 1000A and 1500 A currents, respectively?

B. 

D. 

Solution ||| 

7.Tho potential ( scalar ) distribution is given as V=10y⁴ + 20x³ . If  is the permittivity of free space what is the charge density  at the point (2, 0) ?

A. -200 

B. -200/

C. 200 

D. -240 

Solution ||| Poisson’s equation is 


At point (2,0)

8.Equipotential surface about a point charge is in which one of the following forms?

Solution ||| Equipotential surface about a potential charge is a sphere

9.Which one of the following statements is correct?

Solution ||| 
The above equation is known as Poisson's  Equation which states that the Potential distribution in a region depends upon the local charge distribution.

In some cases the charge distribution is involved on the surface of the conductor for which the free charge volume density is zero, i.e; ρ = 0., in that case, the Poisson equation reduces to 


∇² V = 0 ⇒ This equation is known as the Laplacian equation.

& the above equation Poisson & Laplacian Equation both are Linear Differential Equation.

10.A time-varying magnetic flux linked to a 100-turn coil is given by Ф = 5t³ – 2t. The emf induced at t = 5 seconds is

Solution |||

At t = 5 sec, e = –373 V

emf induced in 100-turns = 373 × 100

= –37.3 kV

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