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Karnataka Board PUCPUC Science Class 11

Verify that the Units Weber and Volt Second Are the Same.

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Question

Verify that the units weber and volt second are the same.

Short/Brief Note
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Solution

Force experienced by the charge q moving with velocity v  in a magnetic field B is given by
F = qVB
Hence, B = `F/(qV)`
Also, weber/m​2 is the unit for magnetic field B.
Now, equating both the units of the magnetic field B, we get:
`Weber/m^2 = "f"/ (qxxv)`
⇒ `Weber = Fxxm^2/(qxxmxxs^-1) =( Fxxm)/(qxxs^-1)=W/qxx s ="Volt"xxs`
Thus, the units weber and volt second are same.

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Chapter 12: Magnetic Field - Short Answers [Page 229]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 12 Magnetic Field
Short Answers | Q 10 | Page 229
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