Examples

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Example 11

The figure 13 shows a part of a complete circuit. What is the potential difference between points A and B when the current I is 5 A and it is decreasing at a rate of 1000 A/s?

Example 12

If the self-inductance of an air-core solenoid increases from 0.02 mH to 10 mH on introducing on iron rod into it, what is the relative permeability of the rod used?

Example 13

An air-core solenoid of length 5 cm and radius 0.5 cm has a coefficient of self-induction of the 0.05 mH. What is the number of turns per meter length of the solenoid?

Example 14

An air-core solenoid of length 20 cm and 100 turns has an area of cross-section 10 cm2. Find the coefficient of self-induction of the solenoid.

Example 15

A long straight solenoid has 100 turns per cm in the primary and 400 turns in the secondary. The area of cross-section of the solenoid is 2 cm2. Calculate the mutual inductance of the solenoid.

Example 16

A long solenoid has 2000 turns per metre. A small loop of area 5 x 10 -5 m2 is placed inside it such that the plane of the loop is perpendicular to the axis. Calculate the emf induced in the loop if the current in the solenoid is changing at the rate of 2A/s.

Example 17

An emf of 50 volt is induced in the secondary coil of a transformer when the current in the primary coil changes from 4A to 2A in 0.02s. What is the mutual inductance of the coils?

Example 18

A rectangular coil of 400 turns and size 0.4 m x 0.2 m is rotating in a magnetic field of 0.04 Wb/m2 with a frequency of 900 rpm about at axis normal to the field. Calculate the maximum value of induced emf.

Example 19

A rectangular coil of 600 turns and size 0.2 m x 0.1 m is rotating in a magnetic field of 0.002 Wb/m2 with a frequency of 3000 rpm about at axis normal to the field. Calculate the maximum value of induced emf and the instantaneous emf when the plane of the coil makes an angle of 600 with the magnetic field.

Example 20

The coil of an ac generator consists of 20 turns of wire of area A = 0.10 m2 and total resistance 100 ohm. The coil rotates in a magnetic field B = 0.25T at a constant frequency of 50Hz.

  1. Find the maximum induced emf?
  2. What is the maximum induced current?
  3. Determine the variation of the induced emf and current with time when the output terminals are connected by a low-resistance conductor.

 

 

CBSE Electromagnetic Induction ( With Hint / Solution)
Class XII (By Mr. Ashis Kumar Satapathy)
email - [email protected]

Electromagnetic Induction