Determine the base unit for the magnetic flux

AI Thread Summary
The discussion focuses on determining the base unit for magnetic flux, starting from the equation for electromotive force (e.m.f.) E = P/I, where P is power and I is current. The correct base unit for magnetic flux is derived as kg·m²·A⁻¹·s⁻². Participants emphasize rearranging the equations rather than integrating to find the solution. The relationship between e.m.f. and the change in magnetic flux is also highlighted, with clarification on how to derive the unit from the given equations. The conversation underscores the importance of correctly interpreting the provided information in the problem statement.
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Homework Statement


The e.m.f E of a battery is given by E = \frac{P}{I} where P is the power supplied from the battery when current I flows through it. An e.m.f. {E_c} can also be induced in a coil when the magnetic flux, \Phi, associated with it changes with time, t, as expressed by {E_c} = \frac{{d\Phi }}{{dx}}. Determine the base unit for the magnetic flux.

Answer is kg{m^2}{A^{ - 1}}{s^{ - 2}}

Homework Equations


E = \frac{P}{I} = \frac{{kg{m^2}{s^{ - 2}}}}{{A \cdot s}}


The Attempt at a Solution


I tried to integrate E = \frac{P}{I} = \frac{{kg{m^2}{s^{ - 2}}}}{{A \cdot s}} but was stuck at getting the answer. Please help
Thanks!
 
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There is no need to integrate,just rearrange your equation to make phi the subject then insert the base units and tidy it up.
 
Power = workXtime= kg*m^2*s^-3
flux = Pxs/I.
Now find the final unit.
 
Flux=Px/I.You have the right units for P,x is s and I is A
 
Thanks for the replies, however, aren't we suppose to extract information that is provided by the question?

How do you guys deduce the answer from {E_c} = \frac{{d\Phi }}{{dx}} ?
 
Phi=Ex
 
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