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Is my book making an algebra error?

  1. Oct 27, 2012 #1
    Not sure if this is a notation error or an algebra or if I am wrong , but my book presents a system of equations and I cannot get it into the form which it is presented

    [itex]\tau _b = \left(1 + \frac{\Phi _b}{c^2}\right)\text{ }\text{$\Delta $t}[/itex]

    [itex]\tau _a = \left(1 + \frac{\Phi _a}{c^2}\right)\text{ }\text{$\Delta $t}[/itex]

    [itex]\tau _b = \left(1 + \frac{\Phi _{b-}\Phi _a}{c^2}\right)\text{ }\tau _a [/itex]

    Just wondering if I am missing something obvious here or if they are performing black magic. I tried subbing in for delta t and then doing long division but my answer was slightly different from their form.
     
  2. jcsd
  3. Oct 27, 2012 #2

    TSny

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    Could it be that they are making an approximation under the assumption that ##\frac{\Phi_a}{c^2}## is much smaller than 1?
     
  4. Oct 27, 2012 #3
    Ahh I suppose that you are probably right.. thank you.
     
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