A 10 Ω resistor discharges a capacitor. The current graph shows I(0)=10 A and I(2 s)=2.5 A. Which statements are correct?
Select all that apply

Question

A 10 Ω resistor discharges a capacitor. The current graph shows I(0)=10 A and I(2 s)=2.5 A. Which statements are correct?

G1 Physics · Accepted Answer

I(0)=V₀/R gives V₀=100 V. Since I(2)/I₀=1/4=exp(−2)/ᴿᶜ, RC=1/ln2, hence C=1/(10ln2) F. Initial energy=½CV₀²=500/ln2 J. Power ∝I², so its decay time constant is RC/2=1/(2ln2) s. All statements are correct.