Answer :
The angular frequency of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.
The above situation represents Alternating Current(AC).
An alternating current is a type of current that reverses its direction after fixed intervals of time.
The following formulas are used in the case of AC,
XL = ωL
XC= 1/Cω
Here L and C represent inductance and capacitance respectively.
It is given that XL = R
Hence, ωL = R
ω = R/L
Hence, the angular frequency(ω) of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.
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