An electrical system transfer function has a pole at s = - 2 and a zero at s = -1 with a system gain of 10. For sinusoidal current excitation, voltage response of the system.

Question

Question

This question was previously asked in

ESE Electronics 2011 Paper 2: Official Paper

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Answer 1

Concept:

Since transfer function is given, hence given system is the LTI system.
For the LTI system, when input is sinusoidal then the output will also be sinusoidal having the same frequency but different amplitude & phase.

Where,

Given:

Transfer function;

Analysis:

Since, {Replace s = jω}

As the phase of the system is positive. It can only increase the phase of output i.e. voltage response of the system will lead the current.

Note: System gain only affects the gain of output, not the phase.