Question

Choose the correct expression for the current passing through the inductor for t>0. 10 ? iL + t=0 40 ? 5 H 24 V O a. i(t) = 0.6e$^{-10t}$ O b. i(t) = 2.4e$^{-t/10}$ O c. i(t) = 2.4e$^{-10t}$ O d. i(t) = 3.0e$^{-10t}$ O e. i(t) = 3.0e$^{-t/10}$ O f. i(t) = 0.6e$^{-t/10}

          Choose the correct expression for the current passing through the inductor for t>0.
10 ?
iL
+
t=0
40 ?
5 H
24 V
O a. i(t) = 0.6e$^{-10t}$
O b. i(t) = 2.4e$^{-t/10}$
O c. i(t) = 2.4e$^{-10t}$
O d. i(t) = 3.0e$^{-10t}$
O e. i(t) = 3.0e$^{-t/10}$
O f. i(t) = 0.6e$^{-t/10}

Choose the correct expression for the current passing through the inductor for t>0.
10 ?
iL
+
t=0
40 ?
5 H
24 V
O a. i(t) = 0.6e^-10t
O b. i(t) = 2.4e^-t/10
O c. i(t) = 2.4e^-10t
O d. i(t) = 3.0e^-10t
O e. i(t) = 3.0e^-t/10
O f. i(t) = 0.6e^-t/10

Added by Javier S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Narayan Hari

03/15/2024

Step 1

The current through the inductor is given by: $$i(t) = I_f + (I_0 - I_f)e^{-t/\tau}$$ where: * $I_f$ is the final current, which is the current when the inductor is fully charged. * $I_0$ is the initial current, which is the current at t=0. * $\tau$ is the time Show more…

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Choose the correct expression for the current passing through the inductor for t>0. 10 Ω iL + t=0 40 Ω 5 H 24 V O a. i(t)= 0.6e-10t O b. i(t) 2.4e-t/10 Oc. i(t) 2.4e-10t Od. i(t) 3.0e-10t Oe. i(t)=3.0e-t/10 Of i(t)=0.6e-4/10