Question

The switch S is the circuit shown in the figure is ideal. If the switch is repeatedly closed for 1 ms and opened for 1 ms, the average value of i(t) is ____________

(a) 0.25 mA

(b) 0.35 mA

(c) 0.5 mA

(d) 1 mA

I had been asked this question in a job interview.

My doubt stems from Advanced Problems on Network Theorems in portion Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Right answer is (a) 0.25 mA

For explanation: Since i = \(\frac{5}{10 × 10^{-3}}\) = 0.5 × 10^3 = 0.5 mA

As the switch is repeatedly close, then i(t) will be a square wave.

So average value of electric current is (\(\frac{0.5}{2}\)) = 0.25 mA.