# Test: EMFT

## 25 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Test: EMFT

Description
Attempt Test: EMFT | 25 questions in 75 minutes | Mock test for GATE preparation | Free important questions MCQ to study GATE ECE (Electronics) 2023 Mock Test Series for GATE Exam | Download free PDF with solutions
QUESTION: 1

### A long cylindrical conductor of Radius R carries a current i. The current density is a function of radius , where b is constant. The Magnetic field H at any radial distance r will  be _____?

Solution:     QUESTION: 2

Solution:
QUESTION: 3

### Plane defined by z = 0 carry surface current density A/m. The Magnetic intensity H is the two regions are respectively?

Solution:  QUESTION: 4

Two infinitely long wires separated by a distance 5m, carry currents I in opposite direction as shown in the
figure. If I = 8A, then the magnetic field intensity at point p is? Solution:  QUESTION: 5

A current loop ABCD is held fixed on the plane of the paper as shown. The Magnetic field H at point ‘O’
will be ____? Solution: QUESTION: 6

If A vector is solenoidal, which of these is true?

Solution: QUESTION: 7

There is a region in which an The path followed by the charge particle will be____?

Solution: Thus it under goes circular motion.
But z-component of velocity vector tends to move the charge particle in z-direction.
Hence path of charge particle is Helical.

QUESTION: 8

Which one of the following potentials does NOT satisfy Laplace’s Equation?

Solution: QUESTION: 9

For the scalar field , the magnitude of the gradiant at the point (1, 3) is?

Solution: QUESTION: 10

Given Scalar function f = xy + yz + zx. Find the Directional Derivative of ‘f’ at point (1, 2, 3) along the
vector Solution:  QUESTION: 11

Which one of the following vector function has divergence & curl both zero.

Solution: QUESTION: 12

Which of the following vector can be expressed as curl of another vector

Solution:  So, The vector can be expressed as
curl of another vector.

QUESTION: 13

The expression for electric field in a space is Find the potential difference between point A (1, -2, 1) m and point B (2, 1, -2) m

Solution: *Answer can only contain numeric values
QUESTION: 14

Find the potential difference VAB between A (2, 1, 0)m & B (0, 2, 4)m in an electric field in volts.

(Important - Enter the numerical value only in the answers)

Solution:  QUESTION: 15

The force of attraction between the plate of parallel capacitor having charge q is____?

Solution: QUESTION: 16

Four capacitors are arranged as shown. Find the amount of charge appear at 3F (between AB) capacitor? Solution:   QUESTION: 17

The current density in a cylindrical wire of radius 16mm placed along the z-axis is . What will be the total current (in Ampere) flowing through the wire.

Solution:  QUESTION: 18

Two extensive homogeneous isotropic dielectrics meet on a plane z = 0. For z > 0, = 4 and
for z < 0, = 2. A uniform electric field exists at z > 0 as . What is the value of electric field in the region z < 0

Solution:   QUESTION: 19

Find the voltage across the dielectric slab of dielectric constant when the voltage across the plate is 200V. Solution:

The combination becomes two capacitor in series   QUESTION: 20

A Parallel plate capacitor is made of two circular plates separated by a distance of 5mm with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×104 V/m, the charge density of the positive plate will be?

Solution:  QUESTION: 21

Consider the following diagram The electric field E at a point P due to the Presence of dipole as shown in the above diagram (r >> d) is proportional to

Solution:  QUESTION: 22

The potantial field V= 2/xyz  Valt. The vector form of at point (1, 1, 1) will be?

Solution: QUESTION: 23

Consider the charge configuration and spherical gaussian surface as shown in the fig. When calculating the flux of the electric field oven the spherical gaussian surface will be due to the Solution:
QUESTION: 24

The electric potantial inside a charged spherical ball is given by v = ar2 + b, when r is the radial distance from centre a and b are constant. Then the charge density inside the ball will be?

Solution:  QUESTION: 25

Two infinite sheet carry a charge density -4μ c/m2 & + 4μ c/m2 lies on y = +4 & y = -4 plane respectively. Find the electric field intensity in region defined by -4 < y < +4

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