that i(0)=10A, calculate i(t) and i_x(t) in the circuit of Fig. 7.13.

Expert Solution

There are two ways we can solve this problem. One way is to obtain the equivalent resistance at the inductor terminals and then use Eq. (7.20). The other way is to start from scratch by using Kirchhoff’s voltage law. Whichever approach is taken, it is always better to first obtain the inductor current.

The equivalent resistance is the same as the Thevenin resistance at the inductor terminals. Because of the dependent source, we insert a voltage source with v_0=1v at the inductor terminals a-b, as in Fig. 7.14(a). (We could also insert a 1-A current source at the terminals.) Applying KVL to the two loops results in

Thus, the current through the inductor is

SUN BUNRA answered 2 years ago

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