Question

P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is $i_s(0+) = 0$. Write the differential equation for $i_s(t)$ and solve. [Hint: Try a particular solution of the form $i_{sp}(t) = A \cos(300t) + B \sin(300t)$.]

Name: P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is is(0+) = 0. Write the differential equation for is(t) and solve. [Hint: Try a particular solution of the form isp(t) = A cos(300t) + B sin(300t).]
Uploaded: 2023-05-12T12:20:52-08:00
Duration: 5 min 36 s
Channel: Ivan Kochetkov
Description: P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is is(0+) = 0. Write the differential equation for is(t) and solve. [Hint: Try a particular solution of the form isp(t) = A cos(300t) + B sin(300t).]

          P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is $i_s(0+) = 0$. Write the differential equation for $i_s(t)$ and solve. [Hint: Try a particular solution of the form $i_{sp}(t) = A \cos(300t) + B \sin(300t)$.]

P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is is(0+) = 0. Write the differential equation for is(t) and solve. [Hint: Try a particular solution of the form isp(t) = A cos(300t) + B sin(300t).]

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University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

05/12/2023

Step 1

Step 1: Write the differential equation for is(t) The voltage across the inductor is given by the equation: v_L(t) = L(di_L(t)/dt) Using Ohm's law, the voltage across the inductor is also equal to the voltage across the resistor, which is given by: v_R(t) = Show more…

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P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is i_(s)(0+)=0. Write the differential equation for i_(s)(t) and solve. [Hint: Try a particular solution of the form i_(sp)(t)=Acos(300t)+Bsin(300t).] Figure P4.50 P4.50. Consider the circuit shown in Figure P4.50. The initial current in the inductor is is(0+) = 0. Write the differential equation for is(t) jand solve.![Hint: Try a particular solution of the form isp(t) = A cos(300t) + B sin(300t).] t=0 300 WW 15 cos(300t) is(t) 2 H