Answer:
Explanation:
decay constant τ = CR , C is capacitance , R is resistance .
= 330 x 10⁻⁶ x 150x 10³
= 49.5 s .
τ = 49.5 s.
Relation of decay of charge
Q = Q₀ [tex]e^\frac{-t}{\tau}[/tex]
Q = Q₀ / 2 , t = ?
Q₀ / 2 = Q₀ [tex]e^\frac{-t}{\tau}[/tex]
1 / 2 = [tex]e^\frac{-t}{\tau}[/tex]
2 = [tex]e^\frac{t}{\tau}[/tex]
ln2 = [tex]\frac{t}{\tau}[/tex]
t = τ x ln2
= 49.5 x .693
= 34.3
= 34.3 s.
