The switch in circuit shifts from 1 to 2 when V_C 2 ~V / 3 and goes back to 1 from 2 when V_C V / 3 . The voltmeter reads voltage as plotted. What is the period T of the wave form in terms of R and C ?

Step-by-step solution

During time ' t ₂ ' capacitor is discharging with the help of resistor ' R ' aligned & q = q ₀ e ^ -t / RC & ~V = V ₀ e ^ -t / R C [ Q = CV ] aligned As V ₀= 2 ~V 3 ; V = V 3 t ₂= RC 2 During time ' t ₁ ' capacitor is charging with the help of battery. aligned & q = q ₀ (1- e ^ -t / R C ) or V = V ₀ (1- e ^ - t / RC ) & as V ₀= 2 ~V 3 ; V = V 3 & t ₁= RC 2 & ~T = t ₁+ t ₂=2 RC 2 aligned