A thin bar magnet of length 2l and breadth 2b, polestrength p and magnetic moment M is divided into fourequal parts with length and breadth of each part beinghalf of the original magnet. Then the pole strength ofeach part isa)pb)p/2c)p/4d)2pCorrect answer is option 'B'. Can you explain this answer?

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A thin bar magnet of length 2l and breadth 2b, pole strength p and magnetic moment M is divided into four equal parts with length and breadth of each part being half of the original magnet. Then the pole strength of each part is

a)
p
b)
p/2
c)
p/4
d)
2p

Correct answer is option 'B'. Can you explain this answer?

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A thin bar magnet of length 2l and breadth 2b, polestrength p and magn...

Given information:
- Length of the magnet = 2l
- Breadth of the magnet = 2b
- Pole strength of the magnet = p
- Magnetic moment of the magnet = M

Dividing the magnet:
The magnet is divided into four equal parts, with the length and breadth of each part being half of the original magnet. This means that each part will have a length of l and a breadth of b.

Pole strength of each part:
To find the pole strength of each part, we need to consider the fact that the pole strength is directly proportional to the magnetic moment.

Magnetic moment:
The magnetic moment (M) of a magnet is given by the product of its pole strength (p) and its magnetic length (l).
M = p * l

Dividing the magnetic moment:
Since the magnet is divided into four equal parts, the magnetic moment will also be divided equally among the four parts. Therefore, the magnetic moment of each part will be M/4.

Pole strength of each part:
To find the pole strength of each part, we can rearrange the equation for magnetic moment to solve for pole strength.
p = M / l

Substituting the value of magnetic moment (M/4) and length (l) for each part, we get:
p(part) = (M/4) / l

Simplifying the expression, we get:
p(part) = M / (4l)

Since the pole strength of the original magnet is p, we can write:
p = M / (2l)

Substituting this value in the expression for pole strength of each part, we get:
p(part) = (M / (2l)) / 4l

Simplifying the expression, we get:
p(part) = M / (8l^2)

Since p(part) is proportional to M, we can write:
p(part) = p / 8

Therefore, the pole strength of each part is p/8, which is equivalent to p/2.

Hence, the correct answer is option B: p/2.

Answered by Infinity Academy · View profile

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A thin bar magnet of length 2l and breadth 2b, polestrength p and magnetic moment M is divided into fourequal parts with length and breadth of each part beinghalf of the original magnet. Then the pole strength ofeach part isa)pb)p/2c)p/4d)2pCorrect answer is option 'B'. Can you explain this answer?

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