मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

A 200 turn circular coil of radius 2 cm is placed co-axially within a long solenoid of 3 cm radius. If the turn density of the solenoid is 90 turns per cm, - Physics

Advertisements
Advertisements

प्रश्न

A 200 turn circular coil of radius 2 cm is placed co-axially within a long solenoid of 3 cm radius. If the turn density of the solenoid is 90 turns per cm, then calculate mutual inductance of the coil and the solenoid.

संख्यात्मक

उत्तर

Given data:

r2 = 2 cm, n2 = 200

r1 = 3 cm

n1 = 90 turns/cm

n1 = 9000 turns/m

M =?

M = μ0 n1 n2 A2 l

M = 4π × 10-7 × 280 × 9000 × π × 4 × 10-4 × 1

M = 4π × 10-6 × 18 × 4π

M = 2.839.56 × 10-6 H

M = 2.839 × 10-3 H

M = 2.84 mH

shaalaa.com
Self–Induction
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Electromagnetic Induction And Alternating Current - Evaluation [पृष्ठ २६२]

APPEARS IN

सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 4 Electromagnetic Induction And Alternating Current
Evaluation | Q IV. 15. | पृष्ठ २६२

संबंधित प्रश्‍न

A circular coil with a cross-sectional area of 4 cm2 has 10 turns. It is placed at the centre of a long solenoid that has 15 turns/cm and a cross-sectional area of 10 cm2. The axis of the coil coincides with the axis of the solenoid. What is their mutual inductance?


What is meant by mutual induction?


Define self-inductance of a coil interms of

  1. magnetic flux and
  2. induced emf

Give the physical significance of self-inductance of a coil.


Assuming that the length of the solenoid is large when compared to its diameter, find the equation for its inductance.


An inductor of inductance L carries an electric current i. How much energy is stored while establishing the current in it?


Show that the mutual inductance between a pair of coils is same (M12 = M21).


Determine the self-inductance of 4000 turn air-core solenoid of length 2m and diameter 0.04 m.


A long solenoid having 400 turns per cm carries a current 2A. A 100 turn coil of cross-sectional area 4 cm2 is placed co-axially inside the solenoid so that the coil is in the field produced by the solenoid. Find the emf induced in the coil if the current through the solenoid reverses its direction in 0.04 sec.


The solenoids S1 and S2 are wound on an iron-core of relative permeability 900. The area of their cross-section and their length are the same and are 4 cm2 and 0.04 m, respectively. If the number of turns in S1 is 200 and that in S2 is 800, calculate the mutual inductance between the coils. The current in solenoid 1 is increased from 2A to 8A in 0.04 second. Calculate the induced emf in solenoid 2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×