Explanation:
It is given that,
The time constant of RC circuit, [tex]\tau=0.2\ \mu s=0.2\times 10^{-6}\ s[/tex]
(a) The resistance of the flash lamp is 0.0410 Ω
We know that the relation between the resistance and time constant is given by :
[tex]\tau=R\times C[/tex]
[tex]C=\dfrac{\tau}{R}[/tex]
[tex]C=\dfrac{0.2\times 10^{-6}}{0.0410}[/tex]
[tex]C=4.87\times 10^{-6}\ F[/tex]
(b) If he value of resistance, [tex]R=650\ k\Omega=650\times 10^3\ \Omega[/tex]
[tex]\tau=R\times C[/tex]
[tex]\tau=650\times 10^3\times 4.87\times 10^{-6}[/tex]
[tex]\tau=3.16\ s[/tex]
Hence, this is the required solution.