For the circuit shown below with ideal diodes, the output will be

For the circuit shown in the figure below, assume that diodes $${D_1},\,{D_2}$$ and $${D_3}$$ are ideal.

The $$DC$$ components of voltages $${v_1}$$ and $${v_2},$$ respectively are

In the following circuit, the input voltage $${V_{in}}$$ is $$100\sin \left( {100\pi t} \right).$$ For $$100\pi RC = 50,$$ the average voltage across $$R$$ (in volts) under steady-state is nearest to

The sinusoidal ac source in the figure has an rms value of $${{20} \over {\sqrt 2 }}\,V.$$ Considering all possible values of $${R_L},\,\,$$ the minimum value of $${R_s}$$ in $$\Omega $$ to avoid burnout of the Zener diode is ______.