Determine the base unit for the magnetic flux

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Homework Help Overview

The discussion revolves around determining the base unit for magnetic flux, with references to electromotive force (e.m.f) and its relationship to power and current. The context includes equations relating these concepts.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore rearranging equations to isolate magnetic flux and discuss the implications of the relationships between e.m.f, power, and current. Questions arise regarding the extraction of information from provided equations.

Discussion Status

Several participants have offered guidance on manipulating equations to find the base unit for magnetic flux. There is ongoing exploration of different interpretations and approaches, with no explicit consensus reached yet.

Contextual Notes

Participants note the importance of adhering to the information given in the problem statement and question the assumptions made in deriving the answer.

aaron86
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Homework Statement


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

Answer is [tex]kg{m^2}{A^{ - 1}}{s^{ - 2}}[/tex]

Homework Equations


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


The Attempt at a Solution


I tried to integrate [tex]E = \frac{P}{I} = \frac{{kg{m^2}{s^{ - 2}}}}{{A \cdot s}}[/tex] 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 [tex]{E_c} = \frac{{d\Phi }}{{dx}}[/tex] ?
 
Phi=Ex
 

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