All values in Figure 11-40 are given in rms.
(a) Find the unknown peak voltage drop in Figure 11-40(a).
(b) Find the total rms current in Figure 11-40(b).
(c) Find the total power in Figure 11-40(b) if $V_{rms}$ = 24 V.

Question

All values in Figure 11-40 are given in rms.
(a) Find the unknown peak voltage drop in Figure 11-40(a).
(b) Find the total rms current in Figure 11-40(b).
(c) Find the total power in Figure 11-40(b) if [latex]V_{rms}[/latex]= 24 V.

Accepted Answer

(a) Use Kirchhoff's voltage law to find [latex]V_{3}[/latex].

[latex]V_{s}[/latex] = [latex]V_{1}[/latex]+ [latex]V_{2}[/latex] + [latex]V_{3}[/latex]

[latex]V_{3(rms)}[/latex] = [latex]V_{s(rms)}[/latex] - [latex]V_{1(rms)}[/latex] - [latex]V_{2(rms)}[/latex] = 24 V - 12 V - 8 V =4 V

Convert rms to peak.

[latex]V_{3(p)}[/latex] = 1.414 [latex]V_{3(rms)}[/latex]= 1.414(4 V) = 5.66 V

(b) Use Kirchhoff's current law to find [latex]I_{tot}[/latex].

[latex]I_{tot(rms)}[/latex] =[latex]I_{1(rms)}[/latex] + [latex]I_{2(rms)}[/latex]= 10 mA + 3 mA = 13 mA

(c) [latex]P_{tot}[/latex] = [latex]V_{rms} I_{rms}[/latex] = (24 V)( 13 mA) = 312 mW

Question 11.14: All values in Figure 11-40 are given in rms.(a) Find the unk...

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