Exam 10: Analysis of Phasor Transformed Circuits

$\text { Use nodal analysis to find } V _ { 1 } \text { and } V _ { 2 } \text { in the circuit shown below. }$

$\text { Use mesh analysis to find mesh currents } \mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } \text { and voltages } \mathrm { V } _ { 1 } , \mathrm {~V} _ { 2 } \text { in the circuit shown }$ below.

Use current divider rule to $\text { find } \mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } \text {, and } \mathrm { V } _ { 0 }$ in the circuit shown below.

Use nodal analysis to find $V _ { o }$ in the circuit shown below.

Find the Norton equivalent current $\mathbf { I } _ { n }$ and the Norton equivalent impedance $Z _ { n }$ between the terminals a and b for the circuit shown below.

Find the Thévenin equivalent voltage $V _ { \text {th } }$ and the Thévenin equivalent impedance $Z _ { \text {th } }$ between the terminals a and b for the circuit shown below.

In the circuit shown below, let $\mathrm { R } _ { 1 } = 1 \Omega , \mathrm { R } _ { 2 } = 2 \Omega , \mathrm { L } = 1 \mathrm { H } , \mathrm { C } = 0.1 \mathrm {~F} , \mathrm {~V} _ { \mathrm { b } } = \mathrm { V } _ { \mathrm { o } }$ (a) Write a node equation at node 1 by summing the currents leaving node 1 . (b) Write a node equation at node 2 by summing the currents leaving node $2 .$ (c) Find the transfer function $\mathrm { H } ( \omega ) = \mathrm { V } _ { \mathrm { o } } / \mathrm { V } _ { \text {in } }$ . (d) Plot the magnitude response $| H ( \omega ) |$ and find the value of $| H ( \omega ) |$ at $\omega = \infty$ . (e) What type (LPF, HPF, BPF, BSF) of filter is this?

$\text { Use mesh analysis to find mesh currents } \mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } , \mathrm { I } _ { 3 } \text { and voltages } \mathrm { V } _ { 1 } , \mathrm {~V} _ { 2 } \text { in the circuit shown }$ below.

Use mesh analysis to find mesh currents I₁,I₂,I₃ and voltahges V₁,V₂ in the circuit shown below.

$\text { Use mesh analysis to find mesh currents } \mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } , \mathrm { I } _ { 3 } \text { and voltages } \mathrm { V } _ { 1 } , \mathrm {~V} _ { 2 } \text { in the circuit shown }$ below.

Use nodal analysis to find $V _ { o }$ in the circuit shown below.

$\text { Use nodal analysis to find } V _ { 1 } \text { and } V _ { 2 } \text { in the circuit shown below. }$

Find the Norton equivalent current $\mathbf { I } _ { n }$ and the Norton equivalent impedance $Z _ { n }$ between the terminals a and b for the circuit shown below.

Use voltage divider rule to find $\mathrm { V } _ { \mathrm { o } }$ in the ircuit shown below.

Find the Thévenin equivalent voltage $\mathrm { V } _ { \text {th } }$ and the Thévenin equivalent impedance $Z _ { \mathrm { th } }$ between the terminals a and b for the circuit shown below.