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Karnataka Board PUCPUC Science Class 11

Exists in the Space. Find the Change in the Magnetic Scalar Potential as One Moves Through 50 Cm Along the Field. - Physics

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Question

A uniform magnetic field of `0.20 xx 10^-3  "T"`  exists in the space. Find the change in the magnetic scalar potential as one moves through 50 cm along the field.

Sum
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Solution

Given : 

Magnetic field in the space, B = `0.20 xx 10^-3  "T"`

Distance moved, `Δr = 50  "cm"`

We know , 

`B = -(dV)/(dl)`

⇒ `dV = ∫_(r_1)^(r^2) -  vec B.dl`

Since the magnetic field is uniform, it can come out of the integration sign.

⇒ `ΔV = - B.(Δr)`
here , `ΔV` is the change in the potential 
`therefore` Change in the potential = `-0.2 xx 10^-3 xx 0.5`
= `-0.1 xx 10^-3   "T-m"`

Here, the negative sign shows that the potential decreases.

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Chapter 14: Permanent Magnets - Exercises [Page 277]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 14 Permanent Magnets
Exercises | Q 3 | Page 277

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