Show that the currents in the coupled circuits of Figure 11.21 are determined by the simultaneous differential equations

Find i₁ in terms of t, L, E and R, given that i₁ = 0 and di₁/dt = E/L at t = 0, and show that

for large t. What does i₂ tend to for large t?

Figure 11.21

Transcribed Image Text:

di L + R(i, - i) + Ri = E dt di dt L- + Ri R(i ) = 0