Sample Quizzes

Quiz #1: I. w =810 J;  II. Cost = 10.35 cents;  III. All four

I.                               Superposition holds:

i1 à v1  = di1/dt  and i2 à v2  = di2/dt

Then, i = i1 + i1 à v = d(i1+i2)/dt  = di1/dt + di2/dt  = v1 + v2

Homogeneity holds:

i1 à v1  = di1/dt, then i = ki1 à v  = d(ki)/dt  = k di/dt  = kv1

II.                R = 0.1365 mOhm

Quiz #3: I. Nonlinear, -0.1 mW, active element.  II. V = 0 V, I = 3 A.

Quiz #4: I. 20 volt; II. 12 Ohm; III. –2 A

Problem I:

(1/2)v1 + (-1/2)v2 + (0)v3 = -1

(-1/2)v1 + (3/2)v2 + (-1)v3 = 2

(0)v1 +   (-1)v2 +  (2)v3 = 1

Problem II:

(2)v1 + (-1)v2 +  (0)v3 =   1

(-1)v1 + (2)v2 + (-1)v3 = -1

(0)v1 + (-1)v2 +  (2)v3 = -1

I. 8 V; II. –2 V

I. i(t) = - 0.15e-25t mA; wc(0) = 9 mJ. II. vc(0+)=4 V; iL(infinity)=0.

1. vc(0+) = 72/7 Volt;  2.  vc(t)/dt + 9vc(t) = 72e-9t Volt, t > 0;  3.  x(t) = (5t + 2)e-9t . Complete solution (jpg).

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1. i1(0+) = 6A, di1(0+)/dt = -3A/s; 2. d2i1/dt2 + (7/2)di1/dt + (3/2)i1 = 9/2; 3. i1(infinity) = 3A, i2(infinity) = 0A. Complete Solution (jpg): Part I , Part II.

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