i(t) 20 Ω 8 cos(10t + 30°) V 3 cos(4t) V 300 mH Fig. 1 Use superposition to find i(t) in the circuit of Fig.1. (Hint: Sinusoids with different frequencies cannot be combined in time domain. Just leave the answer as cos(wit+ @i) + cos(@nt + p2).)

For the following pairs of sinusoids, determine which one leads and by how much. (a) v(t) = 10 cos(4t – 60°) and i(t) = 4 sin(4t + 50°) (b) v1(1) = 4 cos(377t + 10°) and v2(t) = -20 cos 377t %3D (c) x(t) = 13 cos 2t + 5 sin 2t and y(t) = 15 cos(2t – 11.8°)

The diagram below represents the phasor diagram for an RLC circuit using an 82.0 2 resistor, and unknown capacitor and inductor. Given AV₁ = 26.0 V, AVR = 21.5 V, and AVC= 17.5 V, determine the following. AVL AVC A Vmax (c) the average power delivered to the circuit W AVR (a) the maximum voltage and the maximum current V AVmax= Imax= A (b) the phase angle

Plot the sinusoid for t 0 to T, where A = 150 mA, f= 35 Hz and 0 = - 30° : %3D i(t) = A sin (@t + 0)