Explain how Biot-Savart law enables one to express the Ampere's circuital law in the integral form, viz., ∮ B → . d l → = μ 0 I , where I is the total current passing through the surface.

Biot-Savart law can be expressed as Ampere's circuital law by considering the surface to be made up of a large number of loops. The sum of the tangential components of the magnetic field multiplied by the length of all such elements gives the result ∮ B → . d l → = μ 0 I .

Explain how Biot-Savart law enables one to express the Ampere's circuital law in the integral form, viz., ∮ B → . d l → = μ 0 I , where I is the total current passing through the surface.

Biot-Savart law can be expressed as Ampere's circuital law by considering the surface to be made up of a large number of loops. The sum of the tangential components of the magnetic field multiplied by the length of all such elements gives the result ∮ B → . d l → = μ 0 I .

State Ampere's circuital law connecting the line integral of B → over a closed path to the net current crossing the area bounded by the path.

Ampere's circuital law state that the line integral of the magnetic field B → around any closed path is equal to go times the total current I threading the closed path. ∮ B → . d l → = μ 0 I

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12th CBSE

IMPORTANT

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Explain how Biot-Savart law enables one to express the Ampere's circuital law in the integral form, viz., $\oint \vec{B} . \vec{d l} = μ_{0} I$ , where $I$ is the total current passing through the surface.

Important Questions on Magnetic Effect of Current

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 5

State Ampere's circuital law connecting the line integral of

\vec{B}

over a closed path to the net current crossing the area bounded by the path.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 5

Use Ampere's law to derive the formula for the magnetic field due to an infinitely long straight current carrying wire.

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12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 5

Explain carefully why the derivation as in

(b)

is not valid for magnetic field in a plane normal to a current-carrying straight wire of finite length and passing through the midpoint of the axis.

MEDIUM

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 6

Show how Biot-Savart law can be alternatively expressed in the form of Ampere's circuital law. Use this law to obtain the expression for the magnetic field inside a solenoid of length

' l'

, cross-sectional area

' A'

having

' N'

closely wound turns and carrying a steady current

' I'

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 6

Sketch the magnetic field lines for a finite solenoid. Explain why the field at the exterior midpoint is weak while at the interior, it is uniform and strong.

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12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 7

State Ampere's circuital law. Use this law to obtain the expression for the magnetic field inside an air cored toroid of average radius

' r'

, having

' n'

turns per unit length and carrying a steady current I. Show that the magnetic field in the open space inside and exterior to the toroid is zero.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 7

An observer to the left of a solenoid of $N$ turns each of cross-section area $' A'$ observes that a steady current $I$ in it flows in the clockwise direction. Depict the magnetic field lines due to the solenoid specifying its polarity and show that it acts as a bar magnet of magnetic moment $m = N I A$ .

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MEDIUM

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 8

Using Ampere's circuital law, obtain the expression for the magnetic field due to a long solenoid at a point inside the solenoid on its axis.

Explain how Biot-Savart law enables one to express the Ampere's circuital law in the integral form, viz., ∮B→.dl→=μ0I, where I is the total current passing through the surface.

Important Questions on Magnetic Effect of Current

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Explain how Biot-Savart law enables one to express the Ampere's circuital law in the integral form, viz., $\oint \vec{B} . \vec{d l} = μ_{0} I$ , where $I$ is the total current passing through the surface.