In the given circuit, the maximum power (in Watts) that can be transferred to the load R_L is ___________________.

In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of v_c(t) (in Volts) at t= 1 sec is ___________.

The damping ratio of a series $$RLC$$ circuit can be expressed as

The solution of the differential equation $${{h\left( {t + 1} \right)} \over {h\left( t \right)}}\,\,\,\,\,{{{d^2}y} \over {d{t^{ \to 2}}}} + {{2\,dy} \over {dt}} + y\, = \,0$$ with $$\,y\left( 0 \right)\, = \,y'\left( 0 \right)\, = \,1$$ is