**B.Tech.** **(EE-2011 Batch)**

## Electromagnetic Fields

### Subject Code : BTEE-403 Paper ID : [ A1206]

### Time : 3 Hrs. Max. Marks : 60

#### INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions

## Electromagnetic Fields 4th Sem B.Tech PTU April 2019 Question Paper **SECTION-A**

**Q1. Write Briefly**

#### a) Define current density at a given point.

#### b) Write the expression for energy stored in magnetic field.

#### c) Define Electric Dipole.

#### d) State the condition for the vector F to be solenoidal.

#### e) Write down the magnetic boundary conditions.

#### f) What is Lorentz force?

#### g) Mention the properties of uniform plane wave.

#### h) What is the effect of permittivity on the force between two charges?

#### i) State Maxwell’s third equation.

#### j) State Gauss law for magnetic field

## ** SECTION-B**

**Q2. Attempt any five questions. 5×6=30**

#### 2. Derive the expression for force on a moving charge in a magnetic field.

#### 3. Derive Poisson’s equation.

#### 4. Explain the importance of cylindrical and spherical coordinate systems with suitable example for study of electromagnetics.

#### 5. What is meant by skin depth of conductor? How it is related to attenuation constant? How does it depend upon conductivity and frequency?

#### 6. A 300Hz uniform plane wave propagates through fresh water for which s = 0, m_{r} = l, e_{r} = 7.8. Calculate : a) Attenuation constant. b) The phase constant.

** SECTION-C**

**Q3. Attempt any three questions.**** 3×10=30**

#### 7. Using Maxwell equations, derive the Poynting’s theorem.

#### 8. a) Derive the equation of continuity for time varying fields.

#### b) State and explain the electrostatic boundary conditions existing at the boundary between two dielectrics.

#### 9. Write short notes on the following :

#### a) Uniqueness Theorem

#### b) Reflection by perfect insulator at oblique incidence.

#### Current density at a given point.

#### Expression for energy stored in magnetic field.

#### Electric Dipole.

#### Condition for the vector F to be solenoidal.

#### magnetic boundary conditions.

#### Lorentz force

#### Properties of uniform plane wave.

#### Effect of permittivity on the force between two charges

#### Maxwell’s third equation.

#### Gauss law for magnetic field

##### Electrical Engg.Materials EE-208 4th Sem April 2019 B.Tech EE Paper

#### Expression for force on a moving charge in a magnetic field.

#### Poisson’s equation.

#### Importance of cylindrical and spherical coordinate systems with suitable example for study of electromagnetics.

#### Skin depth of conductor.how it depend upon conductivity and frequency?

#### 300Hz uniform plane wave propagates through fresh water for which s = 0, m_{r} = l, e_{r} = 7.Calculate : a) Attenuation constant. b) The phase constant.

##### Electromagnetic Fields 4th Sem B.Tech PTU April 2019 Question Paper

#### Maxwell equations,Derive the Poynting’s theorem.

#### Equation of continuity for time varying fields.

#### Explain the electrostatic boundary conditions existing at the boundary between two dielectrics.

#### Short notes on the following :

#### a) Uniqueness Theorem

#### b) Reflection by perfect insulator at oblique incidence.

##### Electromagnetic Fields 4th Sem B.Tech PTU April 2019 Question Paper

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