GATE IN topic:electricity-magnetism PYQs & Answers — Page 2

Home
GATE
Instrumentation Engineering
Topics
topic:electricity-magnetism

Questions 11–20 of 20. Imported answers require independent review unless marked reviewed.

Topic practice 20 questionsPage 2 of 2

A shielded cable with C_stray = 20 pF and R_wire = 10 Ω is used to connect the inductive sensors as shown in the figure. The RMS value of V_out is ____ V (rounded off to two decimal places).

Note: Assume all components are ideal, and sensors are not magnetically coupled.

Diagram for Instrumentation Engineering question 56

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of 500 mH. When connected in series-opposing configuration, the coils have a total inductance of 300 mH. If the self-inductance of both the coils are equal, then the coupling coefficient is ________ (rounded off to two decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The force per unit length between two infinitely long parallel conductors, with a gap of 2 cm between them is 10 μN/m. When the gap is doubled, the force per unit length will be __________ μN/m (rounded off to one decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A sinusoidal current of

mA is flowing through a 4 H inductor which is mutually coupled to another 5 H inductor carrying

as shown in the figure. The coupling coefficient between the inductors is 0.6. The peak energy stored in the circuit is _________

J (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 55

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A conducting semi-circular loop of radius

m, with its diameter centered at the origin, rotates in the

plane about the origin with a constant angular velocity,

rad/s, as shown. A magnetic field of magnitude

T and normal to

plane exists in the region

as shown. If the loop has a resistance of 2

, and negligible inductance, the peak-to-peak current (in milliamperes) in the loop is ______ (round off to one decimal place)

Diagram for Instrumentation Engineering question 57

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A capacitor is constructed using two concentric spheres and air as the dielectric medium (permittivity of air = 8.854 × 10

F/m). The radii of the inner and outer spheres are

cm and

cm, respectively. The capacitance (in picofarads) is ______ (round off to 2 decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An infinitely long line, with uniform positive charge density, lies along the z-axis. In cylindrical coordinates

, at any point

not on the z-axis, the direction of the electric field is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of 1 kg has a depth of 0.5 m along the y direction. The coefficient of friction between the bar and the surface is 0.1. Assume the acceleration due to gravity to be 10 m/s². The system faces a uniform flux density

. At time

, a current of 10 A is switched onto the bar and is maintained.

Diagram for Instrumentation Engineering question 39

When the bar has moved by 1 m, its speed in metre per second is _____ (rounded off to one decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A toroid made of CRO has an inner diameter of 10 cm and an outer diameter of 14 cm. The thickness of the toroid is 2 cm. 200 turns of copper wire is wound on the core.

H/m and

of CRO is 3000. When a current of 5 mA flows through the winding, the flux density in the core in millitesla is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The vector function

is given by

, where

is a scalar function. Then

Your answerChoose one option.

-1

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN topic:electricity-magnetism PYQs

Question 56

Question 63

Question 27

Question 55

Question 57

Question 59

Question 3

Question 39

Question 40

Question 2