The circuit shown in Figure P 7.8-13 has reached steady state before the switch opens at

Chapter 7, Problem P7.8-13

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QUESTION:

The circuit shown in Figure P 7.8-13 has reached steady state before the switch opens at time t = 0. Determine the values of \(i_L(t)\), \(v_C(t)\), and \(v_R(t)\) immediately before the switch opens and the value of \(v_R(t)\) immediately after the switch opens.

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QUESTION:

The circuit shown in Figure P 7.8-13 has reached steady state before the switch opens at time t = 0. Determine the values of \(i_L(t)\), \(v_C(t)\), and \(v_R(t)\) immediately before the switch opens and the value of \(v_R(t)\) immediately after the switch opens.

ANSWER:

Step 1 of 4:

For the given circuit, components  and  are connected in parallel , and component  in series with them.

a)

In this case,the components represent capacitors.

Capacitance for parallel connection of  and :

=

=

Equivalent capacitance of the circuit when :

=

=

=

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