GATE IN 2013 Question Paper (10-Feb-2013) (Shift 2)

Consider a delta connection of resistors and its equivalent star connection as shown. If all elements of the delta connection are scaled by a factor k, k> 0, the elements of the corresponding star equivalent will be scaled by a factor of

An accelerometer has input range of 0 to 10g, natural frequency 30 Hz and mass 0.001 kg. The range of the secondary displacement transducer in mm required to cover the input range is

In the circuit shown below what is the output voltage (Vₒᵤₜ) in Volts if a silicon transistor Q and an ideal op-amp are used?

In the feedback network shown below, if the feedback factor k is increased, then the

The Bode plot of a transfer function G(s) is shown in the figure below.



The gain (20 log |G(s)|) is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is