Δ I = Δ Q / Δ t = J → ⋅ Δ s → Delta I= Delta Q / Delta t = vec J cdot Delta vec s My understanding is that Δ Delta can be replaced by d d which represents the differential(infinitesimally small amount) of (something). Thus, this equation becomes d I = d Q / d t = J → ⋅ d s → dI=dQ/dt=vec J cdot d vec s . We integrate both sides and get I = ∫ J → ⋅ d s → = ∫ d Q / d t I=int vec J cdot dvec s=int dQ/dt . But I know that I = − d Q / d t I=-dQ/dt not ∫ d Q / d t int dQ/dt . Can someone clear this confusion with the deltas and the differentials.

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Δ      I      =      Δ      Q              /            Δ      t      =                        J          →                    ⋅      Δ                        s          →                      Delta I= Delta Q / Delta t = vec J cdot Delta vec s  My understanding is that       Δ    Delta   can be replaced by       d    d   which represents the differential(infinitesimally small amount) of (something). Thus, this equation becomes             d      I      =      d      Q              /            d      t      =                        J          →                    ⋅      d                        s          →                      dI=dQ/dt=vec J cdot d vec s  . We integrate both sides and get             I      =      ∫                        J          →                    ⋅      d                        s          →                    =      ∫      d      Q              /            d      t        I=int vec J cdot dvec s=int dQ/dt  . But I know that             I      =      −      d      Q              /            d      t        I=-dQ/dt   not             ∫      d      Q              /            d      t        int dQ/dt  . Can someone clear this confusion with the deltas and the differentials.

blerbintiy0 · Accepted Answer

The first equation,             Δ      I      =      Δ      Q              /            Δ      t        Delta I= Delta Q / Delta t  , should be             I      =      Δ      Q              /            Δ      t        I= Delta Q / Delta t  . The current is the amount of charge flowing per unit time. I&#039;m not sure what the       Δ    Delta   in             Δ      I        Delta I   is doing there at all, but it seems to be an error.

delta I=delta Q/delta t=J*delta s. My understanding is that delta can be replaced by d which represents the differential(infinitesimally small amount) of (something).

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