Solved Problems

Tag: linear

  • Find currents using KVL

    Find currents using KVL

    Find resistor currents using KVL.
    Resistive Circuit

    Solution:

    R_1 and V_1 are parallel. So the voltage across R_1 is equal to V_1. This can be also calculated using KVL in the left hand side loop:

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  • Problem 2-1: Linearity of Functions

    Which one(s) of the following functions is linear?

    a) y=x+1.
    b) y=2x+1.
    c) y=1.
    d) y=x^2+x+1.
    e) y=x^1+1.
    f) y=\frac{1}{x}.
    g) y=\sin(x).

    h) y=\sqrt{x}.
    i) y=x+\frac{1}{1-x}.

    j) 5x+2y-1=0.
    k) y=x+c^2. ( c is an arbitrary constant).

    Solution
    a) Linear
    b) Linear
    c) Linear
    d) Nonlinear
    e) Linear
    f) Nonlinear

    g) Nonlinear
    h) Nonlinear
    i) Nonlinear
    j) Linear

    k) Linear