Q. Two vectors are defined as A = a,+5a, +3a, and B = 3a,+ 2a, + a,. Which o the following vector is perpendicular to (A+B) -4ax+4ay 4ay+4az None of these ax+ az

Consider the circuit from P2 in PS2, now connected to an external source as shown in figure 2. The external source is an AC source with Vac(t) Vo cos(nt + p). R, L, Vo, №, & are arbitrary positive constants. ³. W R 0000 Figure 2: 'R+LC' circuit with an external source. = (a) Find the differential equation that describes the current in the inductor. You can use all what you learned about this circuit in PS2 but show again your work, including Kirchhoff equations. Remember to have sum of potentials to set the differential equation equal to V(t). Hint: just the differential equation. Do not solve it yet. (b) Find IL(t) ignoring the transient behavior. That is, get the steady response to the external source ¹. Hint: one way is to set I₁(t) = A cos Nt + B sin Nt, with A, B some constants. Then, find A, B by solving the differential equation of IL(t). Some suggestions from class: i/ do not use a coefficient of 1 in the Ï term. Use instead (RLC)Ï. The algebra will have less fractions. ii/…

If a=1- j, b= 2e", c=3+ j5, and d=3Z60°, determine a -b' X= cx d and express your result in rectangular form.

Which of the following correctly expresses the magnitude of the transfer function for the series RC low-pass filter? 1/RC -w2+ (6 1/RC w² + (- -)² 1 RC √w². 1 RC 1 RC √₁²+(-_=_=1² RC 1+RC RC RC