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CH-04 Moving Charges & Magnetism: Lect-01

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CH-04

MOVING CHARGES &


MAGNETISM
Lect-01

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Today’s Goal
Oersted’s Experiment

BIOT SAVART LAW

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Oersted’s Experiment
Observations
1. A Magnetic Compass (or Magnetic Needle )
shows deflection when placed near a current
carrying wire.

Magnetic Compass is deflected


Magnetic Field.
So, a current Carrying wire produces Magnetic
Field around it

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2. When the wire is held Over the needle
and current flows from South to North ,
the North pole of magnetic needle deflects
towards West.

3. If direction of current is reversed, the


deflection, is also reversed.

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4. If wire is held below the needle and
current is from South to North , North
Pole of needle deflects towards East.

5. If direction of Current is reversed , the


deflection is also reversed.

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RIGHT HAND THUMB RULE

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BIOT-SAVART LAW
➢ Calculation of Magnetic Field ( 𝑩 ) and it’s direction due to a
current element.

➢Similar to Coloumb’s Law for Calculating Electric Field ( 𝑬 ) due to a


charge element.

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Magnetic Field due to Current Element:
BIOT & SAVART’S LAW

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Direction of ( 𝒅𝑩) Magnetic Field
1. 𝒅𝒍 x 𝒓 or Screw Rule

2. Right Hand Thumb Rule

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Q ) Determine the direction od Magnetic Field at Point ‘P’ and ‘Q’ in following
cases

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NOTE:
1. Magnetic Field is ZERO on the axis of current element.

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Units of Magnetic Field Intensity

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Q 1) A wire placed along the north-south direction carries a current of 8 A from
south to north. Find the magnetic field due to a 1cm piece of wire at a point 200
cm north-east from the piece.

a) 2 x 10-9 T
𝟏
b) 𝟐
x 10-9 T
c) 3.14 x 10-9 T
d) 1.41 x 10-9 T

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Q 2) A wire placed along east-west direction carries a current 10 A from west to
east direction. Determine the magnetic field due to 1.8 cm piece of wire at a
point 300 cm north-east from the piece.

a) 2 x 10-9 T inward
b) 2 x 10-9 T outward
c) 1.4 x 10-9 T inward
d) 1.4 x 10-9 T outward

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Q 3) An element ∆𝒍Ԧ = ∆𝒙 𝒊Ƹ is placed at the origin and carries a large current I=10
A. What is the magnetic field on the y-axis at a distance of 0.5 m. ∆𝒙 = 1 cm.


a) 4 x 10-8 T (−𝒌)

b) 2 x 10-8 T (−𝒌)

c) 4 x 10-8 T (𝒌)

d) 2 x 10-8 T (𝒌)

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Q 4) A small current element I 𝒅𝒍 , with 𝒅𝒍 = 2 𝒌෡ mm and I = 2A is centered at
the origin. Find magnetic field 𝒅𝑩 at the following points:

i. On the x-axis at x= 3m.

ii. On the x-axis at x=-6 m.

iii. On the z-axis at z=3 m.

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