For the circuit shown in the figure, R₁ = R₂ = R₃ = 1 Ω, L = 1 µH and C = 1 µF. If the input V_in = cos(10⁶t) , then the overall voltage gain (V_out /V_in) of the circuit is __________.

An opamp has a finite open loop voltage gain of 100. Its input offset voltage V_ios (= +5mV) is modeled as shown in the circuit below. The amplifier is ideal in all other respects. V_input is 25 mV.

The output voltage (in millivolts) is ________.

In the opamp circuit shown, the Zener diodes Z1 and Z2 clamp the output voltage V_o to +5 V or -5 V. The switch S is intially closed and is opened at time t = 0

The time t = t_{1 (in seconds) at which Vo changes state is _____.}

In the circuit shown, assume that the opamp is ideal. If the gain ($${V_0}/{V_{in}}$$) is -12, the value of R (in K$$\Omega $$) is _____.