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Network Theory Test 5

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Network Theory Test 5
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  • Question 1
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    A step input is applied to a second-order network that is in zero state. How can the initial values of voltages and currents of all the circuit elements be found?
    Solution

    The network is in zero state, which implies that the voltage across the capacitor and current across the inductor at t = 0- is 0, i.e.

    VC (0-) = 0 V and iL (0-) = 0 A

    An inductor does not allow a sudden change in current and a capacitor does not a sudden change in voltage, i.e.

    VC (0+) = VC (0-) = 0 V

    iL (0+) = iL (0-) = 0 A

    ∴ At t = 0+, the initial values of voltages and currents of all the circuit elements can be found by short-circuiting the capacitor (VC(0+) = 0) and open circuiting the inductor (iL (0+) = 0 A)

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