3.7 Problems

David J. McLaughlin

3.7 Problems

3.1 Determine the equivalent resistance for the following network:

3.2 Determine the value of resistance R so that the voltages at nodes $V_{A}$ and $V_{B}$ are equal.

3.3 Determine appropriate values for resistors $R_{1}$ and $R_{2}$ for the voltage divider circuit shown. The circuit should provide an unloaded ( $R_{L}=\infty\Omega$ ) output voltage $V_{OUT} = 3V$ for input voltage $V_{IN}=6V$ . The output voltage of your circuit may change by no more than $10$ % when the circuit is loaded with $R_{L}$ values as small as $100\Omega$ .

3.4 Consider again the circuit shown in figure P3.3, above. If $R_{1}=R_{2}=1k\Omega$ determine $V_{out}$ for the unloaded case. Repeat when the circuit is loaded with small DC motor having a resistance $R_{L}=10\Omega$

3.5 Determine the value of currents $I_{1}$ and $I_{2}$ in the following circuit:

3.6 The non-loaded, or open-circuit voltage of a certain battery is 9V. When a 100Ohm resistor is placed across the battery terminals, the voltage drops to 8.8V. Determine the battery terminal voltage when a 10Ω resistor is placed across the battery terminals.

3.7 Determine the Thévenin equivalent circuit for the circuit shown in figure P3.5

3.8 Determine the Thévenin equivalent circuit for the circuit shown in figure P3.6 if $I=3A$ and $R=100\Omega$

3.9 Determine the Thévenin equivalent circuit for the circuit shown in figure P3.7 if $V_{B}=6V$ and $R_{1}=R_{2}=R_{3}=100\Omega$

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Applied Electrical Engineering Fundamentals by David J. McLaughlin is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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