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Physics Part-I
Physics Part-I

Class 12

NCERT

1

Chapter 1: Electric Charges and Fields

47 questions

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2

Chapter 2: Electrostatic Potential and Capacitance

46 questions

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3

Chapter 3: Current Electricity

33 questions

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4

Chapter 4: Moving Charges and Magnetism

41 questions

Q1
Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.
Q2
A magnetic field of 100 G (1 G = 10 T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about . The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic. 
Q3
For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by,

(a) Show that this reduces to the familiar result for field at the centre of the coil.
(b) Consider two parallel co-axial circular coils of equal radius R,and number of turns N, carrying equal currents in the same direction, and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small as compared to R, and is given by.

[Such an arrangement to produce a nearly uniform magnetic field over a small region is known as Helmholtz coils.]
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5

Chapter 5: Magnetism and Matter

36 questions

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6

Chapter 6: Electromagnetic Induction

28 questions

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7

Chapter 7: Alternating Current

37 questions

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8

Chapter 8: Electromagnetic Waves

20 questions

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Question
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Solving time: 4 mins

A magnetic field of 100 G (1 G = 10 T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about . The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic. 

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Magnetic field is given by the relation,
If the length of the coil is taken as 50 cm, radius 4 cm, number of turns 400, and current 10 A, then these values are not unique for the given purpose. There is always a possibility of some adjustments with limits.
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Practice more questions from Physics Part-I (NCERT)

Q1
Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.
Q2
A magnetic field of 100 G (1 G = 10 T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about . The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic. 
Q3
For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by,

(a) Show that this reduces to the familiar result for field at the centre of the coil.
(b) Consider two parallel co-axial circular coils of equal radius R,and number of turns N, carrying equal currents in the same direction, and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small as compared to R, and is given by.

[Such an arrangement to produce a nearly uniform magnetic field over a small region is known as Helmholtz coils.]
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Question Text
A magnetic field of 100 G (1 G = 10 T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about . The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic. 
TopicMoving Charges and Magnetism
SubjectPhysics
ClassClass 12
Answer TypeText solution:1
Upvotes101