## Show that a system with excitation x[n] and response y[n] described by y[n] = nx[n], is linear, time variant and static.

Show that a system with excitation x[n] and response y[n] described by

y[n] = nx[n],

is linear, time variant and static. Show that the system described by y[n] = x [−n]  is time variant, dynamic noncausal and BIBO stable. Show that the system described by y(t) = sin (x(t))  is nonlinear, time invariant, BIBO stable, static and causal. Show that the system described by y(t) = x (sin(t))  is linear, time invariant, BIBO stable and noncausal. 1Show that the system described by the equation y [n]  =  e   x [n]  is nonlinear, time invariant, BIBO stable, static, causal and invertible.  14Show that a system described by y(t) =  t   2 x (t − 1)  is time variant, BIBO unstable, causal, dynamic and noninvertible.

### Calculate the maximum achievable bridge out-of-balance voltage for an applied torque T of 103 N m given the following

Four strain gauges, with specification given below, are available to measure the torque on a cylindrical shaft 4 cm in diameter connecting a motor and load. (a) Draw clearly labelled….

### Find the gain and phase characteristics of the maintaining amplifier.

A solid-state capacitive humidity sensor has a capacitance given by: C = 1.7 RH + 365pF where RH is the percentage relative humidity. The sensor has an associated parallel resistance….

### calculate the mean velocity of the gas at maximum flow rate

A pitot tube is used to measure the mean velocity of high pressure gas in a 0.15 m diameter pipe. At maximum flow rate the mean pitot differential pressure is….