Networks Analysis and Synthesis - Section 1 (2)

I(t) = 6 e^-t - 3 e^-0.5t

^{at t = 0, I(0) = 3A}

^{at t = ∞, I(∞) = 0.}

Time constant Req.C

when V is shorted and R is seen from C then Req = R || R = R/2

Power factor is maximum and equal to 1 for purely resistive load. Power factor is minimum and equal to zero for purely reactive load.

Current rating depends only on area of cross-section and hence diameter.

When ω = 4 rad/sec ωL and  are equal.

Since 25% of input is lost, 0.75 Input = 2 or input = 

R = 4 Ω, L = 1 H, ω = 4 rad/sec, XL = 4 Ω

Current density = current/area of cross-section. Same current throughout the conductor.

Since, area of cross-section is non-uniform, current density will be different at different cross-sections.