If Vin Vm sin 2 3000t V 3V is changed to 5V and 3V is chang

If Vin = Vm sin 2? 3000t V, +3V is changed to +5V, and -3V is changed to -5V, calculate the required value of Vm to achieve a rise time of 20 usec at Vo.

5.7V Vo 20 usec HINT: Calculate the breakpoint voltage at Vin

Solution

The time taken by input signal to reach a value greater than or equal to 5.7 V for +VE cycle and less than or equal to -5.7 for -VE cycle is time to reach break point as shown in figure.

Given this was reached in 20 usec then V_m = ?

V_m* sin(2*pi*3000*t*(180/pi)) = 5.7   -------- (1)

where (180/pi) converts radians to degree

substitute t = 20 usec

V_m * sin(2*pi*3000*20*10^-6*(180/pi)) = 5.7

V_m = 5.7/(sin(21.6)) = 15.483 V

Thus V_m is required voltage.