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EMFT - ECE
Electric and Magnetic Fields

Practice questions from Electric and Magnetic Fields.

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Q#1 Electric and Magnetic Fields GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

A square metal sheet of  is placed on the  plane as shown in the figure below.

If the surface charge density (in  ) on the sheet is , then the total charge (in , rounded off to the nearest integer) on the sheet is _________.

16

85

64

256

Explanation:

 

 Total charge,

 

 

  

  

Hence, option (c) is correct.

Q#2 Electric and Magnetic Fields GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

An electric field of  is applied along the length of a copper wire of circular cross-section with diameter 1 mm. Copper has a conductivity of .

The current (in Amperes, rounded off to two decimal places) flowing through the wire is _________.

0.46

1.82

0.58

1.12

Explanation:

Given:

 

 

 

 

Area of conductor,

  

 

 

 

Hence, option (A) is correct.

Q#3 Electric and Magnetic Fields GATE EC 2025 (Set 1) NAT +2 marks -0 marks

Two resistors are connected in a circuit loop of area , as shown in the figure below. The circuit loop is placed on the  plane.

When a time-varying magnetic flux, with flux-density  (in Tesla), is applied along the positive -axis, the magnitude of current  (in Amperes, rounded off to two decimal places) in the loop is _________.

Explanation:

Given:  (Tesla), Area

EMF induced in the loop,

 

 

 

 

Magnitude of current   

Q#4 Electric and Magnetic Fields GATE EC 2024 (Set 1) MCQ +1 mark -0.33 marks

Let  be the unit vectors along x and y axes, respectively and let A be a positive constant. Which one of the following statements is true for the vector fields

Both  are electrostatic fields.

Only is an electrostatic field.

Only is an electrostatic field.

Neither  is an electrostatic field.

Explanation:

For an electrostatic field,

 

 

 

Curl of  result in 0 & curl of  is not 0.

Hence,  is electrostatic,  is not electrostatic.

Q#5 Electric and Magnetic Fields GATE EC 2024 (Set 1) MCQ +2 marks -0.66 marks

A uniform plane wave with electric field  is travelling in the air (relative permittivity,  and relative permeability,  ) in the  direction ( is a positive constant,  is the unit vector along the  axis). It is incident normally on an ideal electric conductor (conductivity,  ) at . The position of the first null of the total magnetic field in the air (measured from , in metres) is

Explanation:

At perfect conductor,

 

 

We know that  occurs at
Hance,

 

So,

 

 

So, for 1st value of  for H-field to be zero

 

Now, form equation

 

 

Hence

If the reference is not at interference, then