Question

3V, V3 = 1V. 9. Suppose you were given a 1uF capacitor and a switch and you were asked to create an RC discharging circuit. Choose resistance and DC voltage source value that would cause the initial voltage stored on the capacitor to be 180V at the time the switch is thrown. Choose another resistance value that gives you an appropriate r to ensure that the capacitor discharges to 20% of the original value in 50S.

Answer 1

Rc discharging circuit Vs When the switch s is at position is the charging to the supply voltage capacitor starts VELO-) - Vs At time tzo, let the switch is moved from position 1 ch po Sition 2 Now this is the is now get 'RC discharging circuit The voltage charged across the capacitor due to collage source discherged through Y = RC: ovc; there is no source) Ve Gt) = Vecco) + [vecos - Vecoo]e"/ Rc areal Ve.coo) = 0 +(5-0) e-Vec -t/Rc Velt) - Vse

acron R C.FI HF For given c = I feF. Given at instant of switch thrown from el to the initial.no voltage the capactor Vicot) = 180 V This means cannot across that since the capacitor og change. the it voltage immediately Vico-) = Vecot) = 180 Vdc = 150 V D For this R can be any rative, to charge the cap autor to initial value to 180 V the Vdc must be 1800 is enough Given to gojes No be v volts Veitola = 20% of Us = 5oges

et ly-sous 20% do Us VCH) It=sops -tec Vs e 20 TOD X Vs -t/Rc O2 -504 RxIf = 0,2 en co.2) RX1 50 R -1.609 50 1o 609 XR 50 R z 19609 31.075 2 1 = RC 1310075) (1) tis 31.075 Р sec.