An inductor circuit with a single resistor in series with a single inductor has a time constant of $5.0\mathrm{ns}$. What is the value of the resistance if the inductor has a self-inductance of $3.0\mathrm{\mu }\mathrm{H}$?

• A. 780 Ω$780\mathrm{\Omega }$
• B. $880\mathrm{\Omega }$
• C. $970\mathrm{\Omega }$
• D. $1100\mathrm{\Omega }$
• E. $1300\mathrm{\Omega }$
• F. $600\mathrm{\Omega }$