In the bistable circuit shown, the ideal opamp has saturation levels of $$ \pm 5V.$$ The value of R₁ (in k$$\Omega $$ ) that gives a hystersis width of 500 mV is ______

For the voltage regulator circuit shown, the input voltage (V_in) is 20V $$ \pm $$ 20% and the regulated output voltage (V_out) is 10 V. Assume the opamp to be ideal . For a load R_L drawing 200 mA, the maximum power dissipation in Q₁ (in Watts) is ______.

Assuming that the op-amp in the circuit shown below is ideal, the output voltage V₀ (in volts)

A zero mean white Gaussian noise having power spectral density $${{{N_0}} \over 2}$$ is passed through an $$ LTI $$ filter whose impulse response $$h(t)$$ is shown in the figure. The variance of the filtered noise at $$t = 4$$ is